Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - ex cos y)i + (x + ex sin y)j; C is the lobe of the lemniscate r2 = sin 2? that lies in the first quadrant.
A. 
B. 1
C. 0
D. 
Answer: D
Mathematics
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Assuming that the equations define x and y implicitly as differentiable functions 
find the slope of the curve 
at the given value of t.x(t + 1) - 4t
= 9, 2y + 4y3/2 = t3 + t, t = 0
A. 6
B. 3
C. 
D. 
Mathematics
Solve the problem.The radius r and height h of a cylinder are changing with time. At the instant in question, 
and 
At what rate is the cylinder's volume changing at that instant?
A. -0.16 cm3/sec B. 4.4 cm3/sec C. 1.1 cm3/sec D. 1.26 cm3/sec
Mathematics
Write the equation of the graph in its final position.The graph of y = 2x is translated 3 units to the right and then 2 units upward.
A. y = 2x + 3 + 2 B. y = 2x - 3 + 2 C. y = 2x + 2 + 3 D. y = 2x - 2 + 3
Mathematics
Find the quotient.-385 ÷ 77
A. - 
B. 5
C. -5
D. -15
Mathematics