Calculate the circulation of the field F around the closed curve C.F = xyi + 4j , curve C is r(t) = 4 cos ti + 4 sin tj, 0 ? t ? 2?
A. 8
B. 
C. - 
D. 0
Answer: D
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Find the volume of the indicated region.the region bounded by the paraboloid 
, the cylinder 
, and the 
A. 
?
B. 2048?
C. 
?
D. 1024?
Find an equation of the line tangent to the given curve at the point (a, f(a)). f(x) = 7e4x , a = 0
A. y = -28x + 7 B. y = 7x + 7 C. y = 28x + 7 D. y = 4x + 7
For the given arithmetic series, what is Sn?a1 = 5, d = 4, and n = 96
A. 18,725 B. 37,440 C. 74,880 D. 18,720
Solve the problem.The number of family practice physicians in a certain country can be approximated by the equation 
where x is the number of years since 2010 and y is the number of physicians in thousands. Write the equation in slope-intercept form and identify the slope and y-intercept. Then, explain the meaning of the slope in this specific equation.
A. y = 
x + 54, m = 
, y-intercept is (0, 54); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
B. y = 
x + 540, m = 
, y-intercept is (0, 540); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
C. y = 
x + 540, m = 
, y-intercept is (0, 540); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.
D. y = 
x + 54, m = 
, y-intercept is (0, 54); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.