a) In each problem, take advantage of the available square relations sin² (0) + cos² (0) - 1 and 1 + tan² (0) ² (0) = sec² (0) and the half-angle formulas sin² (0) i. sin³(x) dx ii. ftan¹(x) dx 11 iii. f sin³ (r) cos¹¹ (x) dx = 1 - cos(20) 2 and cos² (0) = 1+ cos(20) 2 iv. ftan³ (r) sec³(x) v. f sin²(x) dx vi. f cos(x) dx

Q: Problem 2. cos (x) (a) lim x+1 √√x-1

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A: Use the comparisonn test

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A: Topic:- application of integration and differential equations

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Q: The polynomial of degree 5, P(x) has leading coefficient -2, has roots of multiplicity 2 at x = 1…

A: General form of polynomial degree 5 Px=ax5+bx4+cx3+dx2+ex+f

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Q: Problem 2. Find the following limits. (c) lim x 0 x (d) lim x48 x³ arctanr el/a - 1 1/x

A: Here is the solution:

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

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Q: - 3 If f(x) 24 (Please use the shortcuts to find the derivative.) + 16√√x, find f'(x).

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