4.(4.2) Find the arc length of c(t) = (cost, sint, 1½ +²), 0 ≤t≤¯. 5.(5.1) For R = [0,1] × [0, 1] evaluate the following. (1) I = √(x² (x² - 2y²) dx dy I R (2) I = SSR' In [(x+1)(y+2)] dx dy
4.(4.2) Find the arc length of c(t) = (cost, sint, 1½ +²), 0 ≤t≤¯. 5.(5.1) For R = [0,1] × [0, 1] evaluate the following. (1) I = √(x² (x² - 2y²) dx dy I R (2) I = SSR' In [(x+1)(y+2)] dx dy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4.(4.2) Find the arc length of c(t) = (cost, sint, 1½ +²), 0 ≤t≤¯.
5.(5.1) For R = [0,1] × [0, 1] evaluate the following.
(1) I
= √(x²
(x² - 2y²) dx dy
I
R
(2) I = SSR'
In [(x+1)(y+2)] dx dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e53cf2c-4bf5-4ccd-bd0e-fb990a97eda5%2Ff311bccb-f79e-497e-94fd-a8879b858d1e%2Fw96q8pk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.(4.2) Find the arc length of c(t) = (cost, sint, 1½ +²), 0 ≤t≤¯.
5.(5.1) For R = [0,1] × [0, 1] evaluate the following.
(1) I
= √(x²
(x² - 2y²) dx dy
I
R
(2) I = SSR'
In [(x+1)(y+2)] dx dy
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