College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Consider the vector field
F = zi + aºj+ (y3 + 3z)k
Calculate the divergence:
V.F =.
Calculate the curl, and enter each component in the boxes below:
V x F =
i
k
Note: you must enter a coefficient for i, j and k even if it is a number like 0 or 1. It is generally easier to use text
input rather than the maths editor. Use the preview button (magnifying glass) to make sure your expressions are
correct.
Let C be a circle in 3 dimensions parallel to the xz-plane, where
2 = 25
+
and y = 2, traversed anti-clockwise around the positive y-axis.
Evaluate the following line integral by any suitable method, rounded to 2 decimal places:
F dr
Advice: Draw a sketch of the situation. If possible, check your answer using multiple methods, and verify your
calculations in Maple.
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Transcribed Image Text:Consider the vector field F = zi + aºj+ (y3 + 3z)k Calculate the divergence: V.F =. Calculate the curl, and enter each component in the boxes below: V x F = i k Note: you must enter a coefficient for i, j and k even if it is a number like 0 or 1. It is generally easier to use text input rather than the maths editor. Use the preview button (magnifying glass) to make sure your expressions are correct. Let C be a circle in 3 dimensions parallel to the xz-plane, where 2 = 25 + and y = 2, traversed anti-clockwise around the positive y-axis. Evaluate the following line integral by any suitable method, rounded to 2 decimal places: F dr Advice: Draw a sketch of the situation. If possible, check your answer using multiple methods, and verify your calculations in Maple.
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