The correct answer is option c (-1, 1).
To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.
Let's calculate the midpoint using the given endpoints (-4, 5) and (2, -3):
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Substituting the values, we get:
Midpoint = ((-4 + 2)/2, (5 + (-3))/2)
= (-2/2, 2/2)
= (-1, 1)
Therefore, the midpoint of the line segment joined by the endpoints (-4, 5) and (2, -3) is (-1, 1).
Now, let's compare the obtained midpoint (-1, 1) with the given options:
(3, 1): This is not the midpoint, as it does not match the calculated coordinates (-1, 1).
(3, 4): This is not the midpoint either, as it does not match the calculated coordinates (-1, 1).
(-1, 1): This matches the calculated midpoint (-1, 1), so it is the correct answer.
O (1, 1): This is not the midpoint, as it does not match the calculated coordinates (-1, 1).
In conclusion, the midpoint of the line segment joined by the endpoints (-4, 5) and (2, -3) is (-1, 1).
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PLEASEE HELP PICTURE ATTACHED
if m/P = (12x + 7);, m Q = (6x - 7), and LP
and /Q are complementary angles, find m /Q.
On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.
what is complementary angles?When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).
here we have
(12x + 7) = 90
12x = 83
x= 6.9166666667
12x = 83.0000000004
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Solve the variables. See the photo below.
Answer:
\(x=4; \ y=\frac{8}{\sqrt{3}}.\)
Step-by-step explanation:
1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;
2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3
Answer:
x = 32 y=\(\frac{8}{\sqrt{3} }\)
Step-by-step explanation:
solving for x
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
\(\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }\)
do cross multiplication
\(4\sqrt{2} * 1 = x * \sqrt{2}\)
\(\frac{4\sqrt{2} }{\sqrt{2} } = x\)
root 2 and root 2 gets cancel.Then ,
x = 4
solving for y
take 60 degree as reference angle
using sin rule
sin 60 = opposite / hypotenuse
\(\frac{\sqrt{3} }{2} = \frac{x}{y}\)
just now we found the value of x i.e 4 now substitute the value of x here.
\(\frac{\sqrt{3} }{2} = \frac{4}{y}\)
do cross multiplication
\(2*4 = y * \sqrt{3}\)
\(\frac{8}{\sqrt{3} } = y\)
Pls answer (20 points)
The constant of proportionality between 'y' and 'x' in the graph is 0.20
What is constant of proportionality?The constant of proportionality of a proportional relationship between two variables, x and y, can be defined as the ratio of y to x, which is expressed as, k = y/x, where x and y are the coordinates of one point one the line that represents the proportional relationship.
When two quantities are directly proportional, then a percentage increase in one of the quantities that will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other.
Using the coordinates of a point on the graph, (5, 1), find the constant of proportionality, k:
Constant of proportionality (k) = y/x = 1/5
Constant of proportionality (k) = 0.20
Therefore, the constant of proportionality that represents the proportional relationship between the variables, x and y, is calculated as, 0.20.
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select all that apply. the study did not randomly assign treatments the difference of 0.4 miles per week could be too small to attribute to the tummeric and might just be due to random chance. the study was not large enough this is an experiment, thus it does show causation the study is observational and lacks control of too many lurking variables the study should be replciated with other populations
The statement that is true is "the study is observational and lacks control of too many lurking variables" and "the study should be replicated with other populations."Here are the reasons why:
The study is observational and lacks control of too many lurking variables:
This statement is true since the study was done with people who used turmeric in the meals they consume. There are a lot of things that could affect the difference in mileage walked by the turmeric users compared to those who do not consume it. For instance, the intensity of exercise, lifestyle, and overall diet could have been contributing factors. Thus, there is no guarantee that turmeric is solely responsible for the difference in miles walked.
The study should be replicated with other populations:
This statement is true since the study was carried out with a small sample size and in one geographic location. This means that there is a possibility that the results were just unique to that region. Replicating the study in a different location would help to establish the generalizability of the results and whether or not they are consistent across populations.
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find the product and reduce to lowest terms 4/9 x 18
Answer:
8
Step-by-step explanation:
its cuuz it is
Answer:
x = 8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/9-(x/18)=0
Step by step solution :
STEP
1
:
x
Simplify ——
18
Equation at the end of step
1
:
4 x
— - —— = 0
9 18
STEP
2
:
4
Simplify —
9
Equation at the end of step
2
:
4 x
— - —— = 0
9 18
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 18
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 2 2
2 0 1 1
Product of all
Prime Factors 9 18 18
Least Common Multiple:
18
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4 • 2
—————————————————— = —————
L.C.M 18
R. Mult. • R. Num. x
—————————————————— = ——
L.C.M 18
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 • 2 - (x) 8 - x
——————————— = —————
18 18
Equation at the end of step
3
:
8 - x
————— = 0
18
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
8-x
——— • 18 = 0 • 18
18
Now, on the left hand side, the 18 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
8-x = 0
Solving a Single Variable Equation:
4.2 Solve : -x+8 = 0
Subtract 8 from both sides of the equation :
-x = -8
Multiply both sides of the equation by (-1) : x = 8
One solution was found :
x = 8
1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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break one whole and 1/4
Answer:what? please explain what i have to answer
Step-by-step explanation:
Answer:
Can you break that down some more?
Step-by-step explanation:
Please help! I will mark as brainliest IF answer is right. <3
Answer:
x - 10 = 0
Step-by-step explanation:
Vertical line passing through this point should be perpendicular to x - axis and parallel to y - axis, and this point should be in Quadrant IV.
In this case,
y = 0
x = 10
Therefore,
the equation is
x - 10 = 0
M is the midpoint of CA
CA=8x-6
CM = 3x
Answer:
X=3
Step-by-step explanation:
This is what i think if i am correct you can mark me as brainliest but if you think i am wrong you can correct me
whats 78,563 divided by 98
Ty for whoever helps me <3
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
What is the sum of the expression below? (9c − 8d) + (2c − 6) + (− d + 3
Answer:
-1D
Step-by-step explanation:
1D + -4D + 2D = -1D
How large should we choose n so that the trapezoid-rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001? (Use the error bound given in Section 5.9 of the course text.)
The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:
Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.
Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.
For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.
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There is 0.6 probability that a customer who enters a shop makes a purchase. If 10 customers are currently in the shop and all customers decide independently, what is the variance of the number of customers who will make a purchase?
Group of answer choices
10⋅0.6⋅(1−0.6)
0.62
0.6⋅(1−0.6)
The variance of the number of customers who will make a purchase is 2.4.
The variance of the number of customers who will make a purchase can be calculated using the formula:
Variance = n * p * (1 - p)
where n is the number of customers and p is the probability of a customer making a purchase.
In this case, n = 10 and p = 0.6. Substituting these values into the formula, we get:
Variance = 10 * 0.6 * (1 - 0.6)
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Therefore, the variance of the number of customers who will make a purchase is 2.4.
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Brainlyest
write an expression for each of these expressions
A.divide 37 by a
B.subtract b from 55
C.add 18 to c
D.multiply 49 by d
E.divide e by 62
Please help1 need this ASAP!!!
Interquartile Range for the given graph is 24.
What is Interquartile Range?
A particularly helpful measurement is the IQR. Because it restricts the range to the middle 50% of the numbers, it is useful because it is less influenced by extreme values.
Main body:
How do you find the interquartile range and range on a box-and-whisker plot?
The distance between the third and first quartiles is known as the interquartile range or IQR.
In the box and whisker plot given,
Upper Quartile, Q₃ is 80
Lower Quartile, Q₁ is 66
Interquartile Range = Q₃ - Q₁
= 80-66
= 24
Hence , Interquartile Range for the given graph is 24.
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Solve using the standard algorithm 0.4 + 0.7=
Answer:
The answer is 1.1
Step-by-step explanation:
0.4
+0.7
____
1 . 1
What is the shape of a cable of negligible density (so that w≡0 ) that supports a bridge of constant horizontal density given by L(x)≡L0?
The shape of the cable that supports a bridge with constant horizontal density can be described by a catenary curve.
A catenary curve is the shape that a flexible, uniform cable or chain takes when it is freely hanging under its own weight and uniform horizontal loading. In this case, since the cable has negligible density (w≡0), it means that the cable has no weight and is only subjected to the horizontal loading caused by the bridge.
The equation that describes a catenary curve is given by:
y = a cosh(x/a)
where y is the vertical coordinate, x is the horizontal coordinate, and a is a constant related to the tension in the cable and the horizontal density of the bridge.
In the given scenario, since the horizontal density of the bridge is constant (L(x)≡L0), the equation for the shape of the cable would be:
y = a cosh(x/a)
where a is a constant determined by the specific conditions and properties of the bridge.
Therefore, the shape of the cable supporting the bridge with constant horizontal density is described by a catenary curve.
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find and classify the critical points of the function: local maximums: local minimums: saddle points: for each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. if there are no points for a classification, enter dne.
The method for finding and classifying critical points of a function involves finding the first derivative of the function and setting it equal to zero to find the critical points. Then, the second derivative test is used to classify the critical points as local maxima, local minima, or saddle points.
The given function is not provided in the question. Therefore, we cannot find and classify the critical points of the function. However, I can provide the general method for finding and classifying critical points of a function.
Finding the critical points: To find the critical points of a function, we need to find the values of x where the first derivative of the function is equal to zero or does not exist. These points are called critical points. Mathematically, we can express this as follows:
f′(x) = 0 or f′(x) does not exist
Classifying the critical points: Once we have found the critical points of the function, we can classify them using the second derivative test. This test involves finding the second derivative of the function at the critical points and determining its sign.
If the second derivative is positive, then the critical point is a local minimum. If the second derivative is negative, then the critical point is a local maximum. If the second derivative is zero or undefined, then the critical point is a saddle point.
Mathematically, we can express this as follows:
f′′(x) > 0, then (x, f(x)) is a local minimum.
f′′(x) < 0, then (x, f(x)) is a local maximum.
f′′(x) = 0 or does not exist, then (x, f(x)) is a saddle point.
Once we have found and classified the critical points of the function, we can then enter the list of ordered pairs (x, y) where the max/min/saddle occurs for each classification. If there are no points for a classification, we enter "dne" (does not exist).
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5/8 + 4/5 = 9/8 1 17/40 57/40 9/13
Answer:
57/40
Step-by-step explanation:
Find common denominators, note that what you do to the denominator, you must do to the numerator:
\(\frac{numerator}{denominator} \)
First, multiply 5/8 with 5 to both the numerator and denominator:
(5/8) x (5/5) = 25/40
Next, multiply 4/5 with 8 to both the numerator and denominator:
(4/5) x (8/8) = 32/40
Combine the numerators:
(25 + 32)/40 = (57)/40
57/40 is your answer.
~
I got a 9.5 out of 15 on a quiz, what's my grade? (percentage)
Answer:
63%
Step-by-step explanation:
9.5/15
hope this helps
your grade is a %63.333333333333
Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)
Answer:
y - 9 = 3/10(x - 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (8, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: \(\displaystyle m=\frac{9-6}{8+2}\)Subtract/Add: \(\displaystyle m=\frac{3}{10}\)Step 3: Write Function
Plug in variables into general form.
y - 9 = 3/10(x - 8)
y - 6 = 3/10(x + 2)
A candlemaker spends $82 to make some candles to sell at a local fair. If the candlemaker charges $4 per candle at the fair, what is the minimum number of candles the candlemaker needs to sell to make a profit? Please answer this question I will mark you brainlist if u answer it step by step.
Answer:
21 candles
Step-by-step explanation:
$82÷$4=20.5
So... He can't sell 20.5 candles, it has to be a whole number. so 21
21×$4=$84
Thanks, bye. Plzz mark brainlist.
If a and b are non-zero and non-parallel vectors such that λa+ub is parallel to ha+tb, where λ ,u, h, b €R and h is not 0, b is not 0, show that λ/h = u/t
Answer:
Step-by-step explanation:
Since λa + ub is parallel to ha + tb, we can write:
λa + ub = k(ha + tb)
where k is some constant. We can simplify this equation by expanding both sides:
λa + ub = kha + ktb
Rearranging the terms, we get:
λa - kha = ktb - ub
Factoring out a, we get:
a(λ - kh) = b(kt - u)
Since a and b are non-parallel, they are linearly independent, which means that a and b are not multiples of each other. This also means that the only way for the left side of the equation to be equal to 0 is if λ - kh = 0, or λ = kh. Similarly, the only way for the right side of the equation to be equal to 0 is if kt - u = 0, or u/t = k/h.
Therefore, we have shown that λ/h = u/t.
Find the value of x.
Answer:71
Step-by-step explanation:
How do you reflect it correctly
Step-by-step explanation:
please watch reflection in the picture
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the circle graph shown below to answer the question.
A pie chart labeled Favorite Sports to Watch is divided into three portions. Football represents 42 percent, baseball represents 33 percent, and soccer represents 25 percent.
If 210 people said football was their favorite sport to watch, how many people were surveyed?
Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick 486 berries?
a. Find the unit price for each option shown below. Round to the nearest cent when necessary.
Option I: 10 candy bars for $6.75
Option II: 12 candy bars for $7.25
b. Which option is the better buy.
Solve the proportion.
16
50
=
x
156
.
25
A jacket's original price is $65.00. It is on sale for 40% off. You have to pay 5% sales tax. What is the final price for the jacket?
A) 500
B) 54 minutes
C) 68cents and 60 cents
D)
E) $40.95
ProportionsA proportion is a statement that says that two ratios are equal. They can be used in many everyday situations like comparing sizes, cooking, calculating percentages, and more.
Proportions can be written as equivalent fractions or as equal ratios.
A) 42% = 210
100% = (210 x 100)/42
= 500 people
B) 135 berries = 15 minutes
486 berries = ??minutes
= (486 x 15)/135
= 54 minutes
C) unit price = $6.75/10 = 0.675cents or 68cents
ii) unit price = $7.25/12 = 0.604cents or 60cents
D) Inconclusive question.
E) 40% of 65 = $26
65 - 26 = $39
Tax = 5% = $1.95
Total = $39 + 1.95
Final Price of jacket = $40.95
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in a reguilar decadon onne interior angle is represented by (9x+18(what is the value of x
The numerical value of x in the expression 9x+18 is 14.
What is the numerical value of x?A regular decagon has ten (10) sides and ten interior angles.
The sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) × 180 degrees
For a regular decagon, n = 10, so the sum of the interior angles is:
Sum of interior angles = (10 - 2) × 180
= 8 × 180
= 1440 degrees
Since all the interior angles of a regular polygon have the same measure, we can divide this sum by 10 to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
= 1440 / 10
= 144 degrees
Now, we can use the given expression for one of the interior angles and solve for x:
9x + 18 = 144
9x = 144 - 18
9x = 126
x = 126/9
x = 14
Therefore, the value of x is 14.
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Mackenzie built the small LEGO set. It cost $5.49.
Caleb built the large LEGO set.
How much do you think the large LEGO set cost?
so tell me how many assignments are you missing?
I have like 27 missing assignments
Indeterminate form [0^0]: Calculate the following limits using L'Hospital's Rule.
lim tanx^sinx
x-> 0+
With the way the problem is written on my homework, I'm not sure if it's (tanx)^sinx or tan(x^sinx). Answers to both methods would be helpful.
When interpreting the expression as \((tanx)^{(sinx)\), the limit using L'Hospital's Rule is -∞ as x approaches 0+. However, when interpreting the expression as\(tan(x^{sinx})\), the limit is not well-defined due to the indeterminate form of 0^0.
To calculate the limit using L'Hospital's Rule, let's consider both interpretations of the expression and find the limits for each case:
Case 1: lim\((tanx)^{(sinx)\) as x approaches 0+
Taking the natural logarithm of the expression, we have:
\(ln[(tanx)^{(sinx)}] = sinx * ln(tanx)\)
Now, we can rewrite the expression as:
\(lim [sinx * ln(tanx)]\)as x approaches 0+
Applying L'Hospital's Rule, we differentiate the numerator and denominator:
\(lim [(cosx * ln(tanx)) + (sinx * sec^{2}(x))] / (1 / tanx)\) as x approaches 0+
Simplifying the expression:
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * tanx\) as x approaches 0+
\(lim [cosx * ln(tanx) + sinx * sec^{2}(x)] * (sinx / cosx)\) as x approaches 0+
\(lim [(cosx * ln(tanx) + sinx * sec^{2}(x)) / cosx] * sinx\) as x approaches 0+
\(lim [ln(tanx) + (sinx / cosx) * sec^{2}(x)] * sinx\) as x approaches 0+
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+
Since lim ln(tanx) as x approaches 0+ = -∞ and\(lim (tanx * sec^{2}(x))\) as x approaches 0+ = 0, we have:
\(lim [ln(tanx) + tanx * sec^{2}(x)] * sinx\) as x approaches 0+ = -∞
Therefore, the limit of \((tanx)^{(sinx)\) as x approaches 0+ using L'Hospital's Rule is -∞.
Case 2: lim\(tan(x^{sinx})\)as x approaches 0+
We can rewrite the expression as:
lim\(tan(x^{(sinx)})\) as x approaches 0+
This expression does not have an indeterminate form of \(0^0\), so we do not need to use L'Hospital's Rule. Instead, we can substitute x = 0 directly into the expression:
lim \(tan(0^{(sin0)})\) as x approaches 0+
lim\(tan(0^0)\)as x approaches 0+
The value of \(0^0\) is considered an indeterminate form, so we cannot determine its value directly. The limit in this case is not well-defined.
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