Multiply.(9 + x)(3x - 9)
A. 3x2 - 81x + 18
B. 3x2 + 18x - 81
C. 3x2 + 17x - 81
D. x2 + 18x + 18
Answer: B
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Solve the problem.The velocity field F of a fluid has a constant magnitude k and always points towards the origin. Following the smooth curve y = f(x) from (a, f(a)) to (b, f(b)), show that the flow along the curve is 
ds = k[(a2 + (f(a))2)1/2 - (b2 + (f(b))2)1/2]
What will be an ideal response?
Provide an appropriate response.A cylinder has a height that is 3 times as long as the radius.(a)Write the area of its circular base as a function of its radius.(b)Write the volume of the cylinder as a function of its radius.(c)Without simplifying, write the ratio of the area of the circular base and the volume of the cylinder as a function of the radius.(d)Simplify the function you wrote in c.(e)What kind of function is this?(f)What is its domain out of context?(g)What is its domain in the given context?
What will be an ideal response?
Solve the problem.Let the distance from home in miles of a person after t hours on a straight path be given by 
Approximate the average rate of change of s from 
to 
to the nearest tenth and interpret the result.
A. about 8.2; average speed is about 8.2 mi/hr B. about 3.7; average speed is about 3.7 mi/hr C. about 2.8; average speed is about 2.8 mi/hr D. about 2.6; average speed is about 2.6 mi/hr
Factor completely, if possible.y2 - 81
A. (y + 81)(y - 81) B. (y - 9)(y - 9) C. (y + 9)(y - 9) D. (y2 + 9)(y2 - 9)