Evaluate the surface integral of G over the surface S.S is the cap cut from the sphere x2 + y2 + z2 = 25 by the cone z = 
; 
A. 10?
B. 4?
C. 0
D. 20?
Answer: C
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Write the equation of the axis of symmetry.f(x) = 4x2 - 32x + 59
A. x = 4 B. x = 5 C. x = -5 D. x = -4
Use the substitution method to solve the system.5x - 7y = -212x + 2y = 6
A. (-1, 4) B. (0, 4) C. (0, 3) D. No solution
Solve the problem.
The graph of y = f(x) represents the amount of oil in millions of gallons remaining in a tank after x days. (i) Estimate the initial and final amounts of oil contained in the tank. (ii) When did the amount of oil in the tank remain constant?
A. 160 million gallons, 60 million gallons; 12 ? x ? 14 B. 160 million gallons, 20 million gallons; 0 ? x ? 6 or 8 ? x ? 14 C. 160 million gallons, 60 million gallons; 0 ? x ? 4 or 12 ? x ? 14 D. 140 million gallons, 40 million gallons; 8 ? x ? 16
The manufacturer of engine oils and lubricants leases the rights to produce a group of high-speed lubricants from Oil Corporation. The lease agreement calls for a payment of $60,000 at the end of each quarter for 6 years. If the current interest rate is 6.8% compounded quarterly, find the present value of payments.
a. $2,395,082.14 b. $1,254,222.26 c. $1,194,329.63 d. $1,174,365.42