Which model represents the equation 6x = 18

The next three successive approximations of the solution to the nonlinear problem y′(x).

To use Picard's method with φ0(x) ≡ 0, we can obtain the next three successive approximations of the solution to the nonlinear problem y′(x).

The Picard's method involves solving the differential equation iteratively by substituting the previous approximation into the equation to obtain a new approximation. In this case, the initial approximation φ0(x) ≡ 0 means that we start with a constant function equal to zero.

To obtain the first approximation, we substitute φ0(x) = 0 into the given nonlinear problem y′(x). This gives us a new equation y′(x) = 0.

Using this new equation, we can solve for the first approximation φ1(x). We integrate both sides of the equation with respect to x, giving us y(x) = c1, where c1 is an arbitrary constant.

For the second approximation φ2(x), we substitute φ1(x) = c1 into the nonlinear problem y′(x). Solving this equation will give us a new function φ2(x).

Similarly, for the third approximation φ3(x), we substitute φ2(x) into the nonlinear problem y′(x), and solve for φ3(x).

By repeating this process, we can obtain the next three successive approximations of the solution to the nonlinear problem y′(x). It is important to note that the accuracy of the approximations increases with each iteration, but the method may not always converge to the exact solution.

Know more about the  approximations

https://brainly.com/question/30403460

#SPJ11

Answer:

It's not 2pi/3 so my next guess would be pi/3 but im not sure

Step-by-step explanation:

Answer:

The answer is B. pi/2

Answer:

The rectangle is 3.5 yd x 4 yd

Step-by-step explanation:

Area = length x width = lw

l = length = 2w - 3

w = width

Area = 14(2w - 3)(w) = 14

2w² - 3w - 14 = 0

Use quadratic equation to find the 2 roots of w:  a = 2, b = -3, c = -14

w = 3.5, -2     disregard the negative root

width = 3.5 yd

length = 2(3.5) - 3 = 4 yd

The dimensions of the rectangle are approximately 2.23 yards by 1.46 yards.

We are assuming the width of rectangle to be "x" yards. Then, the length would be (2x - 3) yards, since it is 3 yards less than double the width. The formula for the area of a rectangle is A = l x w, so we can plug in the values we know:

14 = (2x - 3) x x

Expanding the brackets:

14 = 2x² - 3x

Put this equation=0:

2x² - 3x - 14 = 0

Using the quadratic formula:

x = (3 ± √(3² + 4 x 2 x 14)) / (2 x 2)

x = (3 ± √97) / 4

We can ignore the negative root, since the width cannot be negative. Therefore,

x ≈ 2.23

This is the width of the rectangle. To find the length, we can plug this value back into the expression we derived earlier:

length = 2x - 3

length ≈ 1.46

Therefore, the dimensions of the rectangle are approximately 2.23 yards by 1.46 yards

To learn more about dimensions here:

brainly.com/question/28107004#

#SPJ11

Answer:

A)1/2

Step-by-step explanation:

Answer:

-5,7

Step-by-step explanation:

please make me brainiest thx

Answer:

A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION \(f(x)=b^{x}\)

-It’s a one-to-one function

-The graph passes through y-intercept of the point (0,1)

-x-intercept: none

-The domain is all real numbers: (−∞,∞)

-The range is y > 0 or (0,∞)

-The graph is increasing

-The graph is asymptotic to the x-axis as x approaches negative infinity

-Horizontal asymptote: y=0

-The graph increases without bound as x approaches positive infinity

-Increasing if b > 1

-Decreasing if b < 1

-The graph is continuous

-The graph is smooth

Hope this helps! :)

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

Learn more about Logarithmic differentiation: brainly.com/question/30881276

#SPJ11

Answer:

x = 10 and y = 5

Step-by-step explanation:

We are given:

the system of equations

-4x+11y=15... Equation 1

x=2y....... Equation 2

We substitute 2y for x in Equation 1

-4(2y) + 11y = 15

-8y + 11y = 15

3y = 15

y = 15/3

y = 5

Solving for x

2y = x

2(5) = x

10 = x

Therefore,

x = 10 and y = 5

Answer:

108

Step-by-step explanation:

39 + 33 + x = 180

To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.

39 + 33 = 72

180 - 72 = 108

Therefore, our answer is 108 degrees.

I hope this helps! Have a lovely day!! :)

ANSWER

b = 13

EXPLANATION

We want to solve the equation:

To do this, simplify the equation:

Isolate b:

That is the answer.

Answer: the correct answer is A. Between 0 and 90

If an angle is between 0 and 90 it is acute

If an angle is EXACTLY 90 it is a right angle

If an angle is between 90 and 180 it is obtuse angle

If it's 360 then it is a full circle

Answer:

9

Step-by-step explanation:

first you add up all the numbers 9+7+11+8+10=45

then you divide by the amount of numbers there are so in this case 5 so you would do 45÷5=9 hope this helps

Answer:

Step-by-step explanation:

Select all the expressions that are equivalent to –8.

Answer:

(-800/100) and (80)/(-10)

Step-by-step explanation:

See attached worksheet.

The dimensions for which the printed area is maximized are 16.432 × 10.954 in².

let the height of the poster = x inches

area of the poster = 180 in²

thus, its width is 180/x inches.

The printed area has a height of x - 3 inches due to the 1-inch bottom margin and 2-inch top margin.

The sides have a margin of 1 inch, so the width of the printed area is:

180/x - 2

the area of printed area A is given by the formula of a rectangle,

A = height × width

A = (x-3)(180/x - 2)

A = 180 - 2x - 540/x + 6

the maximized area is when dA/dx = 0

dA/dx = - 2 - 540(- 1/x²) = 0

540/x² = 2

x = √270

hence height = √270 = 16.432 inches,

and width = 180/√270 = 10.954 inches.

know more about the maximized area here: https://brainly.com/question/28821169

#SPJ4

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

Answer:

The smallest number all three numbers can be divided by is 4.

Step-by-step explanation:

12/4=3

16/4=4

24/4=6

Hope this helps!

If not, I am sorry.

Answer:

B

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above.  GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

Answer:

change format

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

cost = $187.60

20% down

4 months of $39.40

1.- Calculate the 20%

187,6 ------------------- 100

x -------------------- 20

x = (20 x 187.6) / 100

x = 3752/100

x = 37.52

2.- Calculate the final price

Price paid = 37.52 + 4(39.40)

Price paid = 37.52 + 157.6

= $195.12

2.- Finance charge

= 195.12 - 37.52

= $157.6

Answer:

7/6 or 1.667 ft

Step-by-step explanation:

area of base = 30 ft²

V = area of base x h

30 x h = 35

35/30 = 7/6 ft

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

a

Step-by-step explanation:

Answer:

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

A quart means a quarter of gallon and is equal to 946.353 cubic centimeters. The volume of the cube is equal to the cube of the side lengt, then:

x³ = 946.353

x = ∛946.353

x ≈ 9.818

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

To learn more on volumes: https://brainly.com/question/1578538

#SPJ1

Answer:

c as it is on a straight line

Answer:

C. 2x + 58 = 180

Step-by-step explanation:

Not 100% sure but I hope this helps you!

The set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)

The given parameters are:

Number of hours = at least 30 hours a week

This means that

x + y ≥ 30

Also, we have:

The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x).

This means that

y ≤ 2x

Substitute y ≤ 2x in x + y ≥ 30

x + 2x ≥ 30

This gives

3x ≥ 30

Divide

x ≥ 10

Substitute x ≥ 10 in y ≤ 2x

y ≤ 2 x 10

Evaluate

y ≤ 20

Hence, the set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)

Read more about inequalities at

https://brainly.com/question/24372553

#SPJ1

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Answer:

Step-by-step explanation:

16% of 576

=16/100 x 576

=2304/25

=92 4/25

The angle labelled ? is calculated using the sum of angles in a straight line to be 85 degrees

The sum of angles in a straight line is 180 degrees

starting from the straight line by the left, let the required will be x in each case

115 + x = 180

x = 180 - 115

x = 65 degrees

solving for the angles in the triangle

65 + 85 + y = 180

y = 180 - 65 - 85

y = 30 degrees

30 + 90 + z = 180   (angles on a straight line)

z = 180 - 90 - 30

z = 60 degrees

155 + a = 180 (angles on a straight line)

a = 180 - 155

a = 25 degrees

solving for the angles in the triangle

z + a + b = 180

60 + 25 + b = 180

b = 180 - 60 - 25

b = 95 degrees

b + ? = 180  (angles on a straight line)

? = 180 - 95

? = 85 degrees

Learn more on angles here:

https://brainly.com/question/27962469

#SPJ1