Perform the indicated operation.v = 3i + 4j + 2k and w = -2i - 6j - 5kFind 
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A. 
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B. 
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C. 
D. 
Answer: A
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Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + e-0.008 B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000 (b) m = 11,000e-0.008t + 88 C. (a) m'(t) = 0.008m - 88, m(0) = 11 (b) m = -88e0.008t + 88 D. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + 11,000
Identify the function's local and absolute extreme values, if any, saying where they occur.f(x) = -x3+ 1.5x2 + 6x - 2
A. local maximum at x = 1; local minimum at x = -2 B. local maximum at x = -2; local minimum at x = 1 C. local maximum at x = 2; local minimum at x = -1 D. local maximum at x = -1; local minimum at x = 2
Solve the problem.Find the dimensions of a rectangle whose perimeter is 46 meters and whose area is 120 square meters.
A. 7 m by 14 m B. 9 m by 14 m C. 8 m by 15 m D. 7 m by 16 m
The given angle is in standard position. Determine the quadrant in which the angle lies.-347°
A. Quadrant I B. Quadrant IV C. Quadrant II D. Quadrant III