a. Compute the outward flux across the quarter circle C: r(t)= (14 cos t, 14 sint) for Osts ¹2 The outward flux is X b. Compute the outward flux across the quarter circle C: r(t) = (14 cos t, 14 sin t) for Osts 2 The outward flux is c. Explain why the flux across the quarter circle in the third quadrant equals the flux computed in part (a). The normal vector in the third quadrant is 3 the normal vector in the first quadrant and the vector field in the third quadrant is Consider the vector field F= (y,x) shown on the right. d. Explain why the flux across the quarter circle in the fourth quadrant equals the flux computed in part (b). The normal vector in the fourth quadrant is 1 the normal vector in the second quadrant and the vector field in the fourth quadrant is e. What is the outward flux across the full circle? The outward flux is the vector field in the first quadrant, so their the vector field in the second quadrant, so their Thus, the flux is identical. Thus, the flux is identical.

a. Compute the outward flux across the quarter circle C: r(t)= (14 cos t, 14 sint) for Osts ¹2 The outward flux is X b. Compute the outward flux across the quarter circle C: r(t) = (14 cos t, 14 sin t) for Osts 2 The outward flux is c. Explain why the flux across the quarter circle in the third quadrant equals the flux computed in part (a). The normal vector in the third quadrant is 3 the normal vector in the first quadrant and the vector field in the third quadrant is Consider the vector field F= (y,x) shown on the right. d. Explain why the flux across the quarter circle in the fourth quadrant equals the flux computed in part (b). The normal vector in the fourth quadrant is 1 the normal vector in the second quadrant and the vector field in the fourth quadrant is e. What is the outward flux across the full circle? The outward flux is the vector field in the first quadrant, so their the vector field in the second quadrant, so their Thus, the flux is identical. Thus, the flux is identical.

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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