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{"ops":[{"insert":"\n\n\nProblem Set B\n\n\n2. 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.\n\na. Find dq\/dp\nb. Find the amount supplied when the price is $56.\nc. Find the instantaneous rate of change supply with respect to price when the price is $56. \n\n3.\na. 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 \n\nS(x)= x"},{"attributes":{"script":"super"},"insert":"2"},{"insert":"\/2+5\/3x\/x"},{"attributes":{"script":"super"},"insert":"3"},{"insert":"+ x"},{"attributes":{"script":"super"},"insert":"2"},{"insert":" + 2x\nif the oil slick is assumed to be continuously distributed, how thick is expected to be at the source?\n\nb. If f(x)= 4x+7 1< or equal to x < or equal to 2\n 4x"},{"attributes":{"script":"super"},"insert":"2"},{"insert":"-1 2<x< or equal to 4 \ndetermine whether the function f(x) is continuous throughout its domain?\n\n\n\nShow all working. Thank you. \n \n"}]}

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