Find the work done by a force F= i+5j+7k that moves an object from the point (3,0,5) to the point (7,5,10) along a straight line. The distance is measured in meters and the force in newtons.
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a. 64J
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Provide an appropriate response.Show that 
= x ln ax - x + C.
What will be an ideal response?
Provide an appropriate response.Assume that f(x) and g(x) are two functions with the following properties: g(x) and f(x) are everywhere continuous, differentiable, and positive; f(x) is everywhere increasing and g(x) is everywhere decreasing. Which of the following functions are everywhere decreasing? Prove your assertions.i). h(x) = f(x) + g(x)ii). j(x) = f(x)?g(x)iii). k(x) = 
iv). p(x) = 
g(x)v). r(x) = f(g(x)) = (f?g)(x)
What will be an ideal response?
Simplify the expression. Assume that all variables are positive when they appear.
A. 
B. 
C. 
D. 
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