Answer to Question #257766 in Math for Sha

Question

Problem Set B

2. The number q of roller blades a firm is willing to sell per week at a price of $p is given by q= 60 + 300 for 20 < or equal to p , or equal to 100.

a. Find dq/dp

b. Find the amount supplied when the price is $56.

c. Find the instantaneous rate of change supply with respect to price when the price is $56.

3.

a. A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that is S meters thick at a distance x meters from the break. It difficult to measure the thickness of the slick directly at the source owing to excess turbulence, but for x>0 they know that

S(x)= x²/2+5/3x/x³+ x² + 2x

if the oil slick is assumed to be continuously distributed, how thick is expected to be at the source?

b. If f(x)= 4x+7 1< or equal to x < or equal to 2

4x²-1 2<x< or equal to 4

determine whether the function f(x) is continuous throughout its domain?

Show all working. Thank you.

Answer 1

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