Exercise 6.2

Calculus 3

0 Question 6 B 0/1 pt '0 100 8 99 6) Details Find f 33033; + ydm, where C is the arc of the curve y = 65" for 0 S :1: S 6. 0 Question Help: E Video x Question 7 8 0/1 pt '0 99 8 99 6) Details Find f m5y2dw where C is the arc of the curve a: = y2 from (0,0) to (1,1). 0 0.192 x Question Help: E Video 0 Question 8 B 0/1 pt '0 100 8 99 6) Details Evaluate / audit: + ydy + zdz where C is the line segment from (2, 1, 1) to (1, 0, 1). C [1 x Question 9 B 0/1 pt '0 99 8 99 6) Details Evaluate / 13\" - dF where F" = ( 32, 3y, 2:13), and C is given by F(t) = (sin(t), cos(t), t), 0 S t S 7r . C Question Help: E Video 0 Question 1 l3 0/1 pt '0 100 \"(3 99 (D Details Find the value of integral / (2:2 + y2 + 2) d3, where C is parmeterized by F(t) = (4 cos(2t), 4 sin(2t), t) C forOgtg2. . Question 2 l3 0/1 pt '0 100 \"(3 99 (D Details Find the value of integral f (332 + 92 + Z2)d3, where C is parmeterized by Ht) = {5 cos(t), 5 sin(t), 3t) C for 0 S t S 4. Round your answer to four decimal places. 0 Question 3 l3 0/1 pt '0 100 Z 99 (9 Details Find the value of integral / (Z2 + ym) d3, where C is parmeterized by F(t) = (3t, 4t, 215) for 0 S t g 7 C Question Help: El Video X Question 4 B 0/1 pt '0 99 2 99 6) Details Find the value of integral f (at + y + z)ds, where C is parmeterized by C F03) = (11 sin( t), 9cos( t), 2\\/10cos( t)> forO S t 3 7r. 10.78 x x Question 5 E 0/1 pt '0 99 23 99 (D Details Find / m2z d3, where C is the line segment from (0,-4,-5) to (-3,2,-4). C 12.75 x Question Help: El Video 0 Question 10 B 0/1 pt '0100 2 99 (D Details Based on the graph, make a conjecture about whether the circulation and flux of F = { y, 3:) on _. 3 C:r(t) = (3 cos(t), 3sin(t)) for g g t g g is positive, negative, or zero. -1 \\\"\" <:: then a a. compute the circulation and interpret result. b. flux result>