Deriving the formula for volume generated by revolving the first- = quadrant area bounded by the parabola y² 8x and the line x = 2 about the x-axis using Cylindrical Shell Method will give {A} V = π f²8x dx {C} V = 2π * (v) (2) dy {D} V = 2π f (√x)(2-x) dx {B} V = π (2 - y²)dy

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A: We want to answer from the given graph.

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A: We have to find the integral

Q: 9. Brett and Julia are getting married and the menu options at the wedding are as follows: Main…

A: Above question is solved.

Q: Find the volume of the A =î - 13ĵ+ 4k, B = 3î + 2ĵ-7k and C = î - 2ĵ + 2k. parallelepiped whose…

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Q: Q.16) The general term of the sequence -2,2.- (11)M+ight (n+1)! .n=1,2,3,.. b) (-1) (n) .n=1,2,3,..…

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Q: 1) (4x + xy²)dx + (y + x²y)dy = 0_2) y' - 2y = 5 3)xxx + y = x

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Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: Here M is the point that is 1/3 of the distance from point A to point B. Suppose that d(AB) = x And…

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Q: Sx² 2 3 dx

A: SOLUTION-

Q: rodal Multiple Choice Questions 1. Using all the letters in the word CANDYCANE, determine the number…

A: We have to find out solution

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: 寸

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Q: dy 1+x²)²e³ = -2x dx

A: Topic:- differential equations

Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 + x − 12   Approximate…

A: The given function y=x2+x-12

Q: B) Find the area between the parabolas x = y² - 1 and x = 2y² - 2

A: Topic = Area

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

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Q: (B) Find the dimensions of a box with a square base with surface area 44 and the maximal Volume.…

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Q: Given r(t)= , find the tangential and normal components of acceleration, for t>0.

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz Jed da

A: Follow the procedure given below.

Q: above function is a solution of which of the following differential equations? y' = y² y' = y y' = 1…

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Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: 3x+5 Find S dx (Using substitution method). √3x-7

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

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (3x6) sin = 818…

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Q: f(x) = 8x7 4 f(x) = X5

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Q: Find the interval of convergence of (x - 2)" In (5n) n=2 (Use symbolic notation and fractions where…

A: To find interval of convergence of ∑n=2∞ (x−2)nln⁡(5n) Let an = ∑n=2∞ (x−2)nln⁡(5n) Therefore, an+1…

Q: 2. (D5 – 2D³ 2D² – 3D − 2) y = 0

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Q: ind the regions where sinx Sx.f

A: Topic:- trigonometry

Q: (Laplace transform method) u(x) = -16 (x-1)(1)dt 6

A: Given :u(x)=x36-∫0xx-tutdt

Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: Prove that if i and k are relatively prime positive integers, for every positive integer l the…

A: Concept: Number theory: Number theory is an area of mathematics that aids in the study of the set of…

Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

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Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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Q: Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison…

A: I have appended the formula used in the solution part of the question

Q: Use a linearization to approximate tan(π/100).

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find the volume of the parallelepiped whose edges a A =î - 13ĵ+ 4k, B = 31+ 2j-7k and Ċ = î -

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Q: Find the total number of permutations of the word 'ASSASSINATION', where all vowels are ALWAYS…

A: We have to find the number of ways

Q: Question 1 If A = sin ui + cos uj + uk, B = cos ui - sin uj - 3k, and C = 2i + 3j - k, find (A X…

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Q: An open-top box is to be made from a 12-inch by 18-inch piece of plastic by removing a square from…

A: We can find the value of x by using the second derivative test.

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: What is the distance of the rider from the vertical line after 16 seconds?

A: We have to find the distance of the rider.