Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

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Q: EASE could you shed a litttle bit more light on how you got the critical numbers

A: So, f'(x)=0 gives us

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A: Given that the series we have to find the radius of convergence and interval of convergence

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A: To find the general solution we need to integrate the solutions of both sides w.r.t. to x;

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Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

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A: 9+yey=9x+ex at the point (1,1)

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A: , n=5a=0, b=4

Q: 10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. (…

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A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

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A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

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A: we have given that

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Q: #1.) cotxdx √9-in sinx ત્ર

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A: The average value of  equals 2 for , and equals 6 for .To find .

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A: To evaluate the following integral by interpreting in terms of areas.

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A: The given function is

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A: given function

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Q: 20 C X₁ a * Find the general Solution of :- X = e sinx dy dx =

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Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

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A: We have given a graph of G'(x) in the interval . We have to find the value of G( 6) and coordinates…

Q: 2. Find the indefinite integrals and check your solutions by differentiating. C √ (3x²-2) dx b) f…

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Q: #2.) S sec secx tanx sinx (secx) dx

A: we need to find out the integration.

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Q: Question 9 Find the exact length of the curve. x = 3t², y = 2t³; 0 ≤ t ≤ 2 Show all steps clearly.

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A: I have appended the formula used in solution procedures

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x