Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2 from x=0 to x=1

Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

Q: 1) Find the derivatives of the following. Simplify your final answers. a) f(x) = 2 2x T sin 2x + 2x…

A: a) f(x)=[2x1/2-3x2/3/2]/(1-x) -pi sin2x+(e2x+2x) 1/2-lne. Repost the next parts.

Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

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Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

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Q: Find dy far y= dx

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Q: Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=5.

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Q: - 1)°dx X

A: To evaluate the given integral.

Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

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Q: Find the dimensions of the rectangle with maximum area that can be in- scribed in the ellipse x2/a²…

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Q: Calculate the Taylor polynomials T2 and T3 centered at x = a for the function f(x) = 7 ln (x + 1), a…

A: f(x)=7ln(x+1)For x=0f(0)=7ln(0+1)f(0)=0Differentiate f(x)f'(x)=7x+1For…

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Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

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Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: 23. Suppose f(x) ={9 (бх + 5, хSо (2x+ 5, x> 0 Which of the following statements is NOT true? i.fis…

A: 23.fx=6x2+5,x≤02x+5,x>0 Note:     Multiple questions are given, we are answer with only one…

Q: Let A = (-1,2, 0) and B = (2, – 1, 3). Determine the following: (а) 2A В (b) angle between A and B…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: The objective of the question is evaluate the vector with given magnitude and same direction vector.

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: Find the points on the ellipse 25x? + y² = 25 that are farthest away from the point (1, 0). List all…

A: Given equation of ellipse, 25x2+y2=25So, y=±25-25x2 Now distance between the points (x,y) and (1,0)=…

Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′ at the indicated…

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Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: The function f(x, y) = x' – 6x + 2xy + y° + 2y +6 | Has two stationary points. Find and classify…

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Q: Since the start of July, OHagantbooks.com has seen ts weekly sales increase. OHagantooks.com fits…

A: We need to find w'(t)and find rate of increase.

Q: Consider the following. u = 6i - j - k, v = -i + 4j + 3k (a) Find the projection of u onto v. (b)…

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Q: Q)find the inverse Laplace transform -2P (P+1)* 2. (2) 2. (P²-1)2

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Q: Let f(r) = 2.4x – 5.4x. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

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Q: 6) A rectangular lot is to be bounded by a fence on 3 sides and by a wall on the fourth side. Two…

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Q: Estimate the area under the graph of y = x2 + 2x for x between 0 and 2. Use a partition that…

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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Q: A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart.…

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: Use the graphs to evaluate the expressions below. fx) 5- 8(x) 5- 4- 4 3 -1 2 4 5 6 -1 2 3 4 5…

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Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows: Let f(x)=1/x and…

A: Given problem:- Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows:…

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A: I have stated the used formulas in the solution.

Q: Evaluate (x + 1)*dx = [(x+1)*dz + f{ (x + 1)*dx

A: Given Problem:- Evaluate ∫13x+12dx

Q: Use the table below to fill in the missing values. f(x) 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) = || if…

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Q: K to to Match each equation with a graph above O 2(0.72)" a. blue (B) O 2(1.2)" O 2(0.81)" O 4(1.2)"…

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A: To find the position function.

Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (y +1)

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Q: Find the derivative of the function y = xta{z) y =

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Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows