Solve the problem.A vector F represents a force that has magnitude 4 pounds, and 35° is the angle for its direction. Find the work done by the force in moving an object from the origin to the point (7, 0). Distance is measured in feet. Round the answer to one decimal place, if necessary.
A. 16.1 ft-lb
B. 22.9 ft-lb
C. 24.2 ft-lb
D. 45.9 ft-lb
Answer: B
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Solve the equation.log16x = 
A. 65,536 B. 0.00001526 C. 4 D. 256
Determine whether the function satisfies a Laplace equation.f(x, y, z) = cos(8x) sin(8y) e(
z)
A. Yes B. No
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Perform the matrix operation.Given A = 
and B = 
, find A + B.
A. 
B. 
C. 
D. Not defined