Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
2nd Edition
ISBN: 9780321954329
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Publisher: PEARSON
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Chapter 14.6, Problem 27E

Surface integrals using a parametric description Evaluate the surface integral S f ( x , y , z ) d S using a parametric description of the surface.

27.     f ( x , y , z ) = x 2 + y 2 , where S is the hemisphere x 2 + y 2 + z 2 = 36 , for z ≥ 0

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8–23. Sketching vector fields Sketch the following vector fields
25-30. Normal and tangential components For the vector field F and curve C, complete the following: a. Determine the points (if any) along the curve C at which the vector field F is tangent to C. b. Determine the points (if any) along the curve C at which the vector field F is normal to C. c. Sketch C and a few representative vectors of F on C. 25. F = (2½³, 0); c = {(x, y); y − x² = 1} 26. F = x (23 - 212) ; C = {(x, y); y = x² = 1}) , 2 27. F(x, y); C = {(x, y): x² + y² = 4} 28. F = (y, x); C = {(x, y): x² + y² = 1} 29. F = (x, y); C = 30. F = (y, x); C = {(x, y): x = 1} {(x, y): x² + y² = 1}
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