In Problems 31–38, match each of the graphs (A) through (H) to one of the following polar equations. 31. r = 2 32. e = " 4 33. r = 2 cos 0 34. r cos 0 = 2 37 35. r = 1 + cos 0 36. r = 2 sin 0 37. 0 = - 4 38. r sin e = 2 e = (A) e = (E) (G) (H)

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A: Given,          ∫0π214-cosθdθ

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A: Use substitution method

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Q: Problem 7.2. Using translation and scaling invariance only and Prob- lem 8.1 (linear substitution)…

A: 1) ∫01sin(3x+1)dx2) ∫ABcos(3x+1)dx3) ∫AB(3x+1)51dx Note:   Multiple subpart are given, we are…

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Q: In Problems 13–24, analyze each equation and graph it

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A: Let's find integration of given function.

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A: Solved below

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A: see below the solution of q16 as per bertleby guideline I have to solve only the first question ,…

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A: Explanation of the answer is as follows

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Q: 1 ao et/2 dt = 0.50 2 An e-1/2 cos 2nt dt = 0.504 1+ 16n? 8n b, = et/2 sin 2nt dt = 0.504

A: a0 = (1/π) ∫0π e-t/2 dt , put -t/2 = x , dt = - 2dx Using formula ∫ et dt = et + c a0 = (1/π) ∫ ex…

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Note: It is assumed that questions 3, 4 are the functions of r and θ.   Any point on the Cartesian…

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A: Since you have asked a multi subpart question as per Bartleby's policy we will solve only first 3…

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Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A)…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Problem 13.1. Calculate the follo gration by parts: (1) Sa sin(3r +1) dx. (2) Sa'e(3r+1 dr. (3) ſ…

A: Since You have posted multiple subparts questions.  As per our guidelines we will do the first 3…

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A: In this question, we have to solve the Laplace equation by separation of the variable.

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