Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3xi + 2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 
by the cylinder 
A. 8?
B. 4?
C. 2?
D. 3?
Answer: A
Mathematics
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Find the solution to the differential equation that satisfies the stated condition.
= x(2 + x2)3, y(0) = 0
A. y = 
(2 + x2)4 - 2
B. y = 
(2 + x2)4 - 4
C. y = 
(2 + x2)4
D. y = 
(2 + x2)4
Mathematics
Solve.
+ 
= 1
A. 
B. 25
C. 9
D. 5
Mathematics
Solve the initial value problem.
= sin (2x + ?), y(0) = 3
A. y = - 
cos (2x + ?) + 3
B. y = - cos (2x + ?) + 2
C. y = 2 cos (2x + ?) + 3
D. y = - 
cos (2x + ?) + 
Mathematics
Multiply. Write the answer in simplest form.
? 
? 
A. 
B. 
C. 
D. 
Mathematics