Evaluate the integral using the given substitution.
dy , u = y6 + 3y3 + 5
A. (y6 + 3y3 + 5)4(10y4 + 6y) + C
B. (y6 + 3y3 + 5)4 + C
C. 18(y6 + 3y3 + 5)2 + C
D. (y6 + 3y3 + 5)4 + C
Answer: D
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A. 182 in. B. 178 in. C. 188 in. D. 172 in.
Evaluate the surface integral of the function G over the surface S.G(x, y, z) = ; S is the surface of the parabolic cylinder 28y2 + 7z = 14 bounded by the planes
x = 1, y = 0, and z = 0
A.
B.
C.
D.
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Suppose there is a crossing charge of $1.00 every time one crosses a bridge. A tourist wants to start on the South Bank, stroll across each of the bridges at least once, and return to her hotel on the South Bank at the end of the trip. What is the cheapest possible cost of such a trip?
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A. 304 B. 312 C. 298 D. 280 E. 343