Solve the problem.The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its normal length.
The magnitude of the force required to hold the rubber band at the position x = a is the derivative of the potential energy with respect to x, evaluated at the point 
Sketch a graph of the magnitude of the force versus x.
A. 
B. 
C. 
D. 
Answer: C
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Find the absolute extreme values of the function on the interval.f(x) = 5x2/3, -27 ? x ? 1
A. absolute maximum is 45 at x = -27 ; absolute minimum is 0 at x = 0 B. absolute maximum is 5 at x = 1 ; absolute minimum is 0 at x = 0 C. absolute maximum is 9 at x = -27 ; absolute minimum is 0 at x = 0 D. absolute maximum is 45 at x = -27 ; absolute minimum is 5 at x = 1
Use the Pythagorean Theorem to find the missing length in the right triangle. Use a calculator to find square roots, rounding, if necessary, to the nearest tenth.
A. 25 cm B. 17.5 cm C. 24 cm D. 20 cm
Provide an appropriate response.Write an expression and simplify to find the perimeter of the following:
Fill in the blank(s) with the appropriate word(s).
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2