olve the following integration:- 2 x² + 3 x(x-2)(x-6) ² dx

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Q: B) y(x) = 2+x

A: I have appended the formula used in solution procedure

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A: given information

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: Given that A rectangle ABCD is contained in the unit circle (circle centered at the origin with…

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Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

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Q: 1. Use Newton's Method to find the third approximation - x3, for the root of f(x) = x³ - x²-1=0.…

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Q: Find the exact value of cos 225. State restrictions on the following f(x): X x²-9

A: Use the formula:

Q: i. ผ 8 n=1 (-3)" (2n+1)!

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

A: I have appended the formula used in the solution procedure

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Q: Find the work done by the force field F in moving an object from P(-7, 5) to Q(5, 5). 2x. F(x, y) =…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dxThen find dy/dx at t=pi

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Q: Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each…

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Q: Express the limit as an integral. S 4 lim (7(x)² - 2(x ) ³)Ax over [0, 4] n→ ∞ i = 1 2 3 7x²-x³ x)…

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Q: dy dx general Solution of :- 3+2 tan x e Sec X

A: dy/dx = e3+2tanxx

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Q: Evaluate the integral by interpreting it in terms areas. L(7x-14) de Part 1 of 3 We are concerned…

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Q: The integral √x dx evaluates to

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Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: Use partial fractions to find the power series of the function: 52+74 (x − 9) (x + 8)

A: f(x)=5x+74(x−9)(x+8)5x+74(x−9)(x+8)=Ax−9+Bx+8