Find the Taylor series for f(x) centered at the given value of a and the interval on which the expansion is valid. f(x) = e2x,a = −3

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Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

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Q: Y2 = Find the area bounded by these curves. (All choices are in sq. units) Y1 = Vx + 3 (x+3) Y2 = 2

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A: The given figures are: and

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A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: 1 Sava (x³/3=1)/x dx (Hint : let x = u°)

A: Solution of question is written in below steps.

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Q: Σ E n=2 n·ln(n)

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Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

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Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

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Q: Vectors v and w have magnitudes ||ö|| = 2 and ||w|| = 8 and the angle between these vecto What is…

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Q: simplify

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A: Since this is a multiple subpart question according to the Bartleby answering rule only first three…

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Q: ind the horizontal and vertical asymptotes of f(x). If there are no asymptotes of a given type,…

A: The given question can  be solved as shown in step2.

Q: Expand cos'x as a series of ascending powers of x.

A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…

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Q: n3 - 2 1. Find Lt n+0 2n° + 3n - 4

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Q: 1. In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: a) ∫-12x2-3xdx=x33-3x22-12=233-3(2)22-(-1)33-3(-1)22=83-6+13+32=-32∫-12(x2-3x)dx=-32b)…

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Q: Determine the magnitude of the complex number, X. x-(8e(4ery

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Q: 11 f(x,y) 3x-7y+2, R is the rectangle with opposite car- ners (-1,0) and (1,3).

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Consider the three points R coordinates [0,1,0. [-1,0,-2). and [-2,2, –3] . Which equation of the…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: f(t) = -16t2 +385t +8 avg height from t = 5 to9.7 second f(9.7) =-16(9.7)2 +385(9.7) +8…

Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

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Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

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Q: one-sided limit (if it exists). 72. lim

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