Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Chapter 3.5, Problem 1C
a.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
b.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
c.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
d.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
e.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
f.
To determine
To Find: If the statement is true, explain why .If the statement is false, provide a counterexample.
g.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
h.
To determine
To Find: If the statement is true , explain why .If the statement is false, provide a counterexample.
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1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
Chapter 3 Solutions
Calculus
Ch. 3.1 - Prob. 1TBCh. 3.1 - Prob. 0CCh. 3.1 - Prob. 1CCh. 3.1 - Prob. 2CCh. 3.1 - Prob. 3CCh. 3.1 - Prob. 4CCh. 3.1 - Prob. 5CCh. 3.1 - Prob. 6CCh. 3.1 - Prob. 7CCh. 3.1 - Prob. 8C
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