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Exercise 93. Use what you know in the previous problem and the fact that the vector field F is conservative to evaluate ſeF-dr, where F = (e"cosy, -e'siny) and Cis r(t) = (t, 7), 0<1<2.

Exercise 93. Use what you know in the previous problem and the fact that the vector field F is conservative to evaluate ſeF-dr, where F = (e"cosy, -e'siny) and Cis r(t) = (t, 7), 0<1<2.

Advanced Engineering Mathematics
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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Please answer excerscise 93

Exercise 91. Try to evaluate Sc F dr, where F = (e"cos y, -e siny) and C is r(1) = (1, ),0<is2 in the direct method for evaluating line integrals previously taught. What happens? Exercise 92. Let f (x, y) = e* cos y. (a) Find the differential form dz. (b) What is Vf? (c) Compute the second partials fry and fr. (d) What theorem did you learn in your previous course about these two partials? Exercise 93. Use what you know in the previous problem and the fact that the vector field F is conservative to evaluate SeF-dr, where F = (e*cos y, -e"siny) and C is r(t) = (1, ř), 0<i<2.
Transcribed Image Text:Exercise 91. Try to evaluate Sc F dr, where F = (e"cos y, -e siny) and C is r(1) = (1, ),0<is2 in the direct method for evaluating line integrals previously taught. What happens? Exercise 92. Let f (x, y) = e* cos y. (a) Find the differential form dz. (b) What is Vf? (c) Compute the second partials fry and fr. (d) What theorem did you learn in your previous course about these two partials? Exercise 93. Use what you know in the previous problem and the fact that the vector field F is conservative to evaluate SeF-dr, where F = (e*cos y, -e"siny) and C is r(t) = (1, ř), 0<i<2.
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