Solve the problem by integration.The force F (in lb) exerted by a robot programmed to staple carton sections together is given by 
where t is the time (in s). Find F as a function of t if 
for 
A. F = 8esin ?t + 
B. F = 
esin ?t - 
C. F = 8esin ?t - 
D. F = 
esin ?t + 
Answer: B
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Provide an appropriate response.True or false? If a fraction with denominator 
must be written as an equivalent fraction with denominator 
then the original fraction must be multiplied by 
in both the numerator and the denominator.
A. True B. False
Use the Binomial Theorem to expand the binomial.(x+ 2y)4
A. x4 + 8x3y + 24x2y2 + 8xy3 + 16y4 B. x4 + 4x3y + 6x2y2 + 4xy3 + y4 C. x4 + 2x3y + 24x2y2 + 16xy3 + 16y4 D. x4 + 8x3y + 24x2y2 + 32xy3 + 16y4
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
Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x - 5y)2
A. x2 - 10xy + 25y2 B. x2 - y2 C. x2 - 5xy + 25y2 D. x2 + 10xy + 25y2