Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = sin yi + xzj + 4zk ; D: the thick sphere 1 ? x2 + y2 + z2 ? 4
A. 32?
B. 112?
C. ?
D. ?
Answer: C
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Solve the problem.A triangle drawn on a map has sides of lengths 7.0 cm, 10 cm, and 13 cm. The shortest of the corresponding real-life distances is 126 km. Find the longest of the real-life distances. Round to the nearest unit.
A. 234 km B. 180 km C. 164 km D. 68 km
Sketch the graph of a function y = f(x) that satisfies the given conditions.f(0) = 0, f(1) = 4, f(-1) = 4, f(x) = -4.
What will be an ideal response?
Determine whether or not the function is one-to-one.f(x) = 6x3 + 4
A. Yes B. No
Solve the system.A small airplane traveled 185 mph with a tailwind and 135 mph with a headwind. Find the speed of the wind and the speed of the airplane in still air.
A. speed of the wind was 25 mph, speed of the plane in still air was 160 mph B. speed of the wind was 20 mph, speed of the plane in still air was 165 mph C. speed of the wind was 20 mph, speed of the plane in still air was 155 mph D. speed of the wind was 35 mph, speed of the plane in still air was 150 mph