a.) Sketch the solid obtained by revolving the region under the graph of f = x2 about the x-axis over the interval [1,3]. b.) What is the radius of the disk-shaped cross section perpendicular to the x-axis located at x?

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)...

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Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

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Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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Q: 0.3, and fy(2,4) 6. Assuming that f(2,4) = 5, f«(2, 4) approximation for f(2.1, 3.8). -0.2, find a l...

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A: We are asked to evaluate the integral.

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Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

A: We have to find the equation of circle.

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Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x= 19- y, - ...

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Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: Suppose h(x) = /f(x) and the equation of the tangent line to f(x) at x = 1 is y = 4+ 4(x – 1).

A: WE area asked to find h'(1)

Q: Question 17 Use your knowledge of the properties of logarithms to match equivalent expressions: ] lo...

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Q: Fi ind the derivative with respect to x of f(x) = ( (3x³ + 8)' + 4) 9 + 2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

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Q: At what point do the curves r (t) = (t, 2 – t, 24 + t²) and r2(s) = (6 – s, s – 4, s?) intersect? %3...

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

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Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x...

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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