2 15 B J ම 0 E Σ 201-NYB Calculus II Exercise on Arc Length and Improper 1. Find the arc length of the following curves: (a) y = 6x2-2, from A(-1,4) to B(-8, 22) (b) y = 2ln (sin sin 2), from (-2ln 2) to (x, 0) 3 (c) (y+1)²= (x-4)3, from A(5,0) to B(8,7) y¹ 1 (d) x = + from 8 4y2' (3,1) to (332) 16 2. Determine whether each of the following improper integra Determine the value of the integral if it is convergent. ضح dx (a) L xe2x dx (b) [ta + arctant x2 (c) 10 x2 1 dx (e) x ln x dx (f) 43 (d) 2 x√16-x² 3. Find the values of p for which the integral converges and eva of p. (a) hoo 7/7P 1 dx XP (b) to x (ln x) [+ dx 4. Use the Comparison Theorem to determine whether the foll O verge

2 15 B J ම 0 E Σ 201-NYB Calculus II Exercise on Arc Length and Improper 1. Find the arc length of the following curves: (a) y = 6x2-2, from A(-1,4) to B(-8, 22) (b) y = 2ln (sin sin 2), from (-2ln 2) to (x, 0) 3 (c) (y+1)²= (x-4)3, from A(5,0) to B(8,7) y¹ 1 (d) x = + from 8 4y2' (3,1) to (332) 16 2. Determine whether each of the following improper integra Determine the value of the integral if it is convergent. ضح dx (a) L xe2x dx (b) [ta + arctant x2 (c) 10 x2 1 dx (e) x ln x dx (f) 43 (d) 2 x√16-x² 3. Find the values of p for which the integral converges and eva of p. (a) hoo 7/7P 1 dx XP (b) to x (ln x) [+ dx 4. Use the Comparison Theorem to determine whether the foll O verge

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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