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Tutorial Exercise Is there a vector field G on R3 such that curl G = (x sin(y), cos(y), 8z – xy)? Step 1 We know that for any vector field G = Pi+ Qj+Rk where P, Q, and R all have continuous second order partial derivatives, we must have div(curl G) = 0 Step 2 If curl G = (x sin(y), cos(y), 8z – xy), then sin(y) ax = 8Z dz - Xy = Submit Skip (you cannot come back)

Tutorial Exercise Is there a vector field G on R3 such that curl G = (x sin(y), cos(y), 8z – xy)? Step 1 We know that for any vector field G = Pi+ Qj+Rk where P, Q, and R all have continuous second order partial derivatives, we must have div(curl G) = 0 Step 2 If curl G = (x sin(y), cos(y), 8z – xy), then sin(y) ax = 8Z dz - Xy = Submit Skip (you cannot come back)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Tutorial Exercise Is there a vector field G on R3 such that curl G = (x sin(y), cos(y), 8z – xy)? Step 1 We know that for any vector field G = Pi+ Qj+Rk where P, Q, and R all have continuous second order partial derivatives, we must have div(curl G) = 0 Step 2 If curl G = (x sin(y), cos(y), 8z – xy), then sin(y) ax = 8Z dz - Xy = Submit Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Is there a vector field G on R3 such that curl G = (x sin(y), cos(y), 8z – xy)? Step 1 We know that for any vector field G = Pi+ Qj+Rk where P, Q, and R all have continuous second order partial derivatives, we must have div(curl G) = 0 Step 2 If curl G = (x sin(y), cos(y), 8z – xy), then sin(y) ax = 8Z dz - Xy = Submit Skip (you cannot come back)
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