Evaluate the integral.
A. tan6 x + C
B. tan4 x + C
C. 4 sec2 x tan4 x + C
D. 4 sec4 x + C
Answer: B
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Using Green's Theorem, find the outward flux of F across the closed curve C.F = ln (x2 + y2) i + tan-1 j; C is the region defined by the polar coordinate inequalities
and
A. 56 B. 106 C. 112 D. 0
The demand function for a certain brand of compact disc is given by
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The supply function for the compact discs of is given by
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where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
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A. $16,907
B. $16,338
C. $16,667
D. $16,805
Factor out the greatest common factor.5x2 + 40x
A. 5x2(x + 8) B. 5x(x + 40) C. 5x(x + 8) D. x(5x + 40)
Identify the independent and dependent variables.s = 2a2
A. independent: s, dependent: a B. independent: a, dependent: s C. independent: s and a, dependent: 2 D. independent: 2, dependent: s and a