Perform the operations. Express answers with positive exponents.x1/2x2/3
A. x3/5
B. x1/3
C. x7/6
D. x1/6
Answer: C
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Graph using the slope and the y-intercept.y = 5x + 4
A. 
B. 
C. 
D. 
Find the flux of the vector field F across the surface S in the indicated direction.F = x4y3i + yj - zk; S is the portion of the parabolic cylinder z = 1 - y2 for which 
and 4 ? x ? 6; direction is outward (away from the x-y plane)
A. -4 B. 4 C. 2 D. 0
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 64°? If necessary, round the answer to the nearest tenth of a Newton.
A. 5.5 N B. 5.4 N C. 5.3 N D. 2.6 N
Find the consumer surplus and producer surplus.
?
Demand 
?
Supply 
?
A. Consumer surplus: $3136Producer surplus: $784 B. Consumer surplus: $3286 Producer surplus: $784 C. Consumer surplus: $3236 Producer surplus: $784 D. Consumer surplus: $3186 Producer surplus: $784 E. Consumer surplus: $3336 Producer surplus: $784