Use your calculator to fill in the table below based on f(x)=x^5+3Is f(x) even ,odd,or neither ?explain

Use Your Calculator To Fill In The Table Below Based On F(x)=x^5+3Is F(x) Even ,odd,or Neither ?explain

Answers

Answer 1

Given the function f(x):

\(f(x)=x^5+3\)

We will find the value of f(x) when x = {-2, -1, 0, 1, 2}

so,

\(\begin{gathered} x=-2\rightarrow y=(-2)^5+3=-29 \\ x=-1\rightarrow y=(-1)^5+3=2 \\ x=0\rightarrow y=(0)^5+3=3 \\ x=1\rightarrow y=(1)^5+3=4 \\ x=2\rightarrow y=(2)^5+3=35 \end{gathered}\)

From the results, we can conclude the following:

\(\begin{gathered} f(-x)\ne f(x) \\ \text{and} \\ f(-x)\ne-f(x) \end{gathered}\)

So, the function is neither even nor odd


Related Questions

4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64

Answers

Answer:

lasjn sk sklan djsk

Step-by-step explanation: so jakbas akbsa

which of the following would be parallel to the graph of 2x -3y = 18?

which of the following would be parallel to the graph of 2x -3y = 18?

Answers

We need to analyze each case separately:

We also need to remember that for two lines to be parallel they need to have the same slope. We can transform the equation in the slope-intercept form to find these slopes. This is a way to do so.

1. In the first case, we need to find the slope-intercept form of the equation. It is:

\(2x+3y=18\Rightarrow3y=18-2x\Rightarrow y=\frac{18}{3}-\frac{2}{3}x\Rightarrow y=-\frac{2}{3}x+6\)

This line is not parallel to the one given, since the slope-intercept form of the given linear equation is:

\(2x-3y=18\Rightarrow-3y=18-2x\Rightarrow y=\frac{18}{-3}+\frac{-2}{-3}x\Rightarrow y=\frac{2}{3}x-6\)

Then, the slope is m = 2/3, and the slope, in this case, is m = -2/3. Therefore, in this first case, the lines are not parallel. Not parallel.

2. The second equation is y = 2/3x +1, then, this line is parallel to the given in the question. It is parallel (m = 2/3).

3. We need to transform the third equation in the slope-intercept form:

\(-2x-3y=-18\Rightarrow-3y=-18+2x\Rightarrow y=-\frac{2}{3}x+6\)

The slope, in this case, is the inverse of the slope given in the question. It is not parallel to the given equation. Not parallel.

4. In the last case, we have that the slope is, for the second equation, also m = -2/3. Then, this line is not parallel to the one given in the question. Not parallel.

which of the following would be parallel to the graph of 2x -3y = 18?

Using the table find then relative frequency of each color, to 3 decimal places

Using the table find then relative frequency of each color, to 3 decimal places

Answers

Answer:  The table is shown below.

Explanation:

For each row, divide the color counts over the total. For example, we have 9 red in bag one out of 61 total. This leads to a relative frequency of 9/61 = 0.1475 which rounds to 0.148; so approximately 14.8% of the items in bag one are red. This represents the top left corner of the table.

As another example, we have 5 brown out of 60 total in bag ten. That leads to a relative frequency of 5/60 = 0.0833 = 0.083 (see the bottom right corner of the table).

Take note that for any given row, adding up the relative frequencies will yield the value of 1 (though there might be some slight rounding error along the way).

Using the table find then relative frequency of each color, to 3 decimal places

1
4
(
8

6
x
+
12
)
?
1
4
(
8

6
x
+
12

)

?

A.
7
2
x
7
2
x

B.

13
2
x


13
2
x

C.

6
x
+
14


6
x
+
14

D.

3
2
x
+
5

Answers

The equivalent expression is 5 - 3x/2. Option D

What are algebraic expressions?

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

BracketParenthesesSubtractionMultiplicationDivisionAddition

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Calculate ( – 2 – 3i)^4. Give your answer in a + bi form

Calculate ( 2 3i)^4. Give your answer in a + bi form

Answers

Answer:

-34 - 24i

Step-by-step explanation:

To calculate ( – 2 – 3i)^4, we can use the property that (a + bi)^n = a^n + (n*a^(n-1)b)i + (na^(n-2)*b^2)i^2 + ...

So, ( – 2 – 3i)^4 = (-2 - 3i) * (-2 - 3i) * (-2 - 3i) * (-2 - 3i)

= -2^4 - 2^3 * 3i - 2^2 * 3^2i^2 - 2 * 3^3i^3 - 3^4i^4

= -16 - 24i + 18i^2

= -16 - 24i -18

= -34 - 24i

plsss help with this question pls with whole procedure pls help ​

plsss help with this question pls with whole procedure pls help

Answers

i hope this helps.......

plsss help with this question pls with whole procedure pls help
plsss help with this question pls with whole procedure pls help

How much will 5% yards cost of fabric be at $10.99 a yard?

Answers

If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

How to determine the cost of the fabric?

The given parameters are

Cost of fabric = $10.99 per yard

This means that the unit rate of a yard of fabric is $10.99

So, the cost of a 5% yard cost of fabric would be

Cost = 5% * Cost of fabric

The above equation becomes

Cost = 5% * 10.99

Evaluate the product

Cost = $0.55

Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

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Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).

Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0,

Answers

The solution to the trigonometric equation in the interval is given by:

\(x = \frac{\pi}{4}\)

What is the trigonometric equation?

In this problem, the equation is given by:

\(\frac{1}{\sin{\theta}} = 2\cos{\theta}\)

Applying cross multiplication, we have that:

\(2\sin{\theta}\cos{\theta} = 1\)

Applying a trigonometric identity, we have that:

\(\sin{2x} = 1\)

We have that on the interval [0, 2π), \(\sin{\left(\frac{\pi}{2}\right)} = 1\)

Hence:

\(\sin{2x} = 1\)

\(\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}\)

\(2x = \frac{\pi}{2}\)

\(x = \frac{\pi}{4}\)

For \(\frac{3\pi}{4}\), we have that:

\(\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1\)

Hence only the first solution is correct.

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Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.

Answers

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Can someone pls help me with this question

Can someone pls help me with this question

Answers

Answer: its correct

Step-by-step explanation: 4 is the answer

Answer:

ur good, pretty sure its 4 :)

If you get it right I will give brainiest.

If you get it right I will give brainiest.

Answers

C) f(x) = 100 - 68x is the answer

Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?

Answers

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Use this table to help answer the question. What would be the best description of the johns times rounded to quarter hours (15 minutes)


A) 8:45am - 5:00pm

B) 8:45am - 5:15pm

C) 8:30am - 5:15pm

D) 8:30am - 5:00pm

Use this table to help answer the question. What would be the best description of the johns times rounded

Answers

B) 8:45am - 5:15pm

Hope this answers your question!

At a county fair the admission is $8.00 and each
ride costs $1.25. If you go to the fair with $20.00,
what is the maximum number of rides you can go
on?

Answers

amswer:9

Step-by-step explanation:

20.00 - 8.00 = 12.00

1.25 × 9 = 11.25

leftover change is 0.75

The maximum number of rides you can go on are 9.

What is a equation?

"An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.  In an algebraic equation, the left-hand side is equal to the right-hand side."

Given,

The admission fee to the country fair is \(\$8.00\)

And the cost of each ride is = \(\$1.25\)

The total number of money that he has = \(\$20.00\)

So the number of rides in $20.00 will be

\(\$(20.00 - 8)/1.25\\ = 12/1.25 = 9.6\)

Hence, the number of rides that he can go in $20.00 will be 9.

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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

Answer:

Step-by-step explanation:

an ancient atifact is 4 time older then an anitque book

Answers

(antique book age)*4 idrk the question but i hope this helps

Problem 1.1.A basket of fruit is arranged out of apples, bananas, and oranges.What is the smallest number of fruit that should be put in the basket to guaranteethat there are either at least 8 apples or at least 6 bananas or at least 9 oranges

Answers

Answer:

21

Step-by-step explanation:

The question is based in pigeonhole principle that says If n or  more  pigeons  are  distributed  among k >0 pigeonholes,then at least one pigeonhole contains at least \(\frac{n}{k}\) pigeons.

8 + 6 + 9−3 + 1 = 21

The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?

Answers

it's -6°F
-14°F+8°F= -6°F

What's the unit prices??

What's the unit prices??

Answers

The unit price refers to the price per individual unit. In this case, we are looking for the price per pencil because the pencil is the unit. To do this, we will divide the whole cost by the amount of pencils, so we create a fraction.

Brand A:

unit price = 2.36/18 = .131

So, Brand A sells each pencil for $.131.

Rounded to the nearest cent would be .1
or 10 cents

Brand B:

unit price = 4.09/24 = .170

Rounded to the nearest cent would be .2 or 20 cents

So, Brand B sells each pencil for $.170

Since we know the unit rates, we know that Brand A sells each pencil for less, so Brand A is a better deal.

Cost of a CD: $19.95
Markup: 70%

Answers

Answer:

$33.915 for the cd

Step-by-step explanation:

70% of 19.95 = 13.965

19.95 + 13.965= 33.91

* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.​

* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three

Answers

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

Poppy gets semi-monthly paycheck of $2,375. What is her annual income?

Answers

Answer:

57,000

Step-by-step explanation:

57000

(2375*2)*12
not sure what semi monthly is but i assume it’s 2 times every month, times 12 months in a year, boom

a student claims that a neutral atom has 6 protons and 7 electrons what mistake is the student making​

Answers

Answer:

A proton needs two electrons to operate. Just like if an electron needed nutrons.

Step-by-step explanation:

Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
All work saved.
Email Instructor
Next >
Submit Test for Grading

Answers

Bank Reconciliation Statement:

Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.

Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:

Cash account balance on May 1             $34,250Add: Deposits during May                     140,300Less: Checks are written during May     (138,880)Cash Account Balance as of May 31     $35,670

1. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.

Balance as per cash account  $35,670

Add:  

Outstanding checks                         $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120                                                                  12,200

Less:  

Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement  $43,525

2. Journal Entries to be recorded:

May 31 Cash $5,250 Interest Revenue  $250Notes Receivable  $5,000(Collection of note with interest by the bank)  May 31 Accounts Payable $90 Cash  $90(Rectification of payement to Adkins Co.)  May 31 Bank Charges $30 Cash  $30(Bank service charges for May)  May 31 Accounts Receivable $1,325 Cash  $1,325(Check from Jennings Co. returned)  

3. Computation of cash account balance should be reported in the balance sheet on May 31:

Cash Account Balance as of May 31  $35,670Add:  Note collected by the bank with interest $5,250 5,250Less:  Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet  $39,475

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(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects

(GIVING BRAINLIYEST)7. what is the volume of these 2 objects

Answers

figure #1

smaller part

4x7x2= 56m

larger part

4x3x7= 84m

84+56= 140m³

figure #2

smaller part

2x4x3= 24m

larger part

4x4x12= 192m

192+24= 216in³

Answer:

3 is 140i think 4 is 396 (sorry if im wrong about 4)

Step-by-step explanation:

Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)

Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.(2,5)(-4,3)(3,

Answers

Answer: The correct option is A.

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

where,

d= distance

\(x_2\text{ and }x_1\) are the coordinates of the points on x-axis

\(y_2\text{ and }y_1\) are the coordinates of the points on y-axis

For the given points:

A(-4,3), B(2,5), C(3,2) and D(-3,0)

Calculating the distance CD:

\(x_2=3\\x_1=-3\\y_2=2\\y_1=0\)

Putting values in above equation, we get:

\(CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units\)

Calculating the distance AD:

\(x_2=-4\\x_1=-3\\y_2=3\\y_1=0\)

Putting values in above equation, we get:

\(AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units\)

To calculate the area of a reactangle, we use the equation:

\(Area=l\times b\)         ....(1)

where,

l = length of the rectangle = CD = 6.32 units

b = breadth of the rectangle = AD = 3.16 units

Putting values in equation 1, we get:

\(Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}\)

Hence, the correct option is A.

Answer:

The answer is A.

Step-by-step explanation:

I got it correct.

Solve using tangent and cosine

Solve using tangent and cosine

Answers

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

What are the sides of the triangle labelled x?

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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What is the height of a cone with the volume of 110 cubic centimeters and a base with a radius of 5

Answers

Answer:

h≈4.2cm

Step-by-step explanation:

A data set contains three points, and two of the residuals are -10 and 20.
What is the third residual?

A data set contains three points, and two of the residuals are -10 and 20.What is the third residual?

Answers

If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).

What is a residual?

A residual is the difference between the observed value and the estimated value of the quantity of interest.

The residual of a data points should normally sum up to zero (0). This means the following applies:

-10 + 20 + x = 0

x = 10

Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.

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The Texas State Legislation is comprised of state senators and staterepresentatives. There is a greater number of representatives thansenators. The sum of the number of representatives and the number ofsenators is 181. The difference of the number of representatives andnumber of senators 119.a. Write a system of equations to find the number of state representatives,r, and senators, s.b. How many senators and how many representatives make up the TexasState Legislature? You have been assigned by your professor to write a 2 page paper on a current event. You need three newspaper sources, at least 500 words each and each of them should have published in the past year. Your professor also wants you to have 3 APA citations, one for each of the sources you have selected, on a References page. The assignment is due next week and you won't be able to be on campus until the due date. Which filter(s) would be best to use for this assignment? (select all that apply)ArticlesBooksPeer-reviewedVideoBook ChaptersDateFull Text Online Which statement best explains the main idea of the second selection, "Facts About the Sinking of the Titanic"?1 The captain of the ship lost his life in the disastrous sinking of his ship.2 The Titanic collided with an iceberg and sank.3 Several people tried to stop the Titanic from sailing at all.4 The chaotic sinking of the Titanic was a disaster that possibly could have been 5 avoided had the necessary precautions been taken and had the warnings been heeded.Many people originally thought that no lives were lost in the sinking of the Titanic 7. The unflattering reviews that his latest recording received were ------- by his fans,who believe that everything he performs is a triumph of artistic -------(A) dismissed .. creativity(B) hailed .. responsibility(C) suppressed .. self-promotion(D) accepted..genius(E) regretted ..pretension The governmental agency that oversees the capital markets is the A. Federal Trade Commission. B. Fair Trade and Banking Agency. C. Securities and Exchange Commission. D. Federal Reserve Can someone tell me what part of the fingernail this is , this really hurts does inflation benefit the lender or borrower? How did early chemists determine which substances were elements? a. By observing chemical reactions b. By finding the atomic mass c. By counting neutrons d. By counting protons Which body composition assessment is based on a person's height relative to their body weight? 11 point Question at position 1 Which equation could be used to find the value of x in the triangle below? Which equation could be used to find the value of x in the triangle below? 12x + 20 = 18012x = 18012x - 20 = 1808x - 10 = 4x + 10 What does an application filter enable an administrator to do?A. manually categorize multiple service filtersB. dynamically categorize multiple service filtersC. dynamically categorize multiple applicationsD. manually categorize multiple applications Find the area of the shaded portion How much should you set aside and invest in a fund earning 10% compounded quarterly if you want to accumulate P200,000 in 3 years and 6 months? Who would you characterize yourself us the format The converse of p_ q is: so inportant ketanji brown jackson took over whose vacancy in the supreme court When a thin oil film spreads out on a puddle of water, the thinnest part of the film looks dark in the resulting interference pattern. Part A This implies that:1. the oil has a higher index of refraction than water.2. water has a higher index of refraction than the oil.3. the oil and water have identical indexes of refraction. Can somebody please tell me if you can ever get the EXACT area of a circle and explain why or why not? One factor that determines the amount of oxygen transferred from the lungs to the blood isthe total functional surface area of the respiratory membrane.O TrueO False 2. The Brunei Princess, HRH Princess Sarah, collaborates with Vivy Yusof on The Royal dUCk headscarf collection carrying an empowering message for every woman. The partnership presents a limited-edition collection of headscarves in cheerful and feminine shades of red, pink, ash blue, peach and decorated with five elements of flowers, bees, diamonds, grids, and a wheel, each chosen for their reference to feminine attributes. a. Companies find and develop new product ideas from a variety of sources. Apart from customers, discuss TWO (2) other external sources of new product ideas that Vivy Yusof may use to design her headscarves collections. (4 Marks) b. How does the collaboration between The Brunei Princess, HRH Princess Sarah, and Vivy Yusof on The Royal dUCk headscarves collection, influence the brand equity for dUCk headscarves? Elaborate your answer based on secondary sources of brand knowledge. (2 Marks)