Determine convergence or divergence by any method. (-1)"n Vn? +2 The series converges, since the terms alternate. converges, since the terms are smaller than. diverges, since lim,-c0 4n # 0. diverges, since the terms are larger than . converges, since lim,oo an = 0.

Q: Q.3\ The Maclaurin series for cos(2x) for every x is :

A: The Maclaurin series for cos(2x) for every x.

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A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

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A: Explained below 

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A: topic - application of derivatives

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A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

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A: The given problem is solved below in detail.

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Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A: To find the tangent to the curve

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Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

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A: Given query is to find solution of the system of equations.

Q: (x – y)² = 2ax, find the y'if a is a constant x+y a. a-x-y a-x-y b. x+y x+y+a C. x-y x-y-a d. x-y

A: Differentiating the expression with respect to x

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A: ∫210   6dx/(x-4)2 [-6(x-4)-1 ]102 [-6/(x-4)]102 -6/(10-4) +6/(2-4) -6/6 +6/(-2) -1-3 ∫210   6dx/(x-4...

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A: We will differentiate the function Y=(x^2+2)^3 as follows 

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A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

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A: Given: y-intercept y=3 x-intercept at x=1,4 

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Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

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A: Question is solved.

Q: 87 1

A: Given query is to simplify the expression.

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A: topic - linear functions and application of derivatives