Exam 2: Functions, Limits and the Derivative

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Find the limit, if it exists. Find the limit, if it exists.

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Find the domain of the function. Find the domain of the function.

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The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by   respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price. respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price.

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Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function. Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function.   Answer polynomial or rational.__________ If a polynomial function, the degree is __________ Answer polynomial or rational.__________ If a polynomial function, the degree is __________

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The surface area S of a single-celled organism may be found by multiplying 4p times the square of the radius r of the cell.Express S as a function of r.

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Let Let   Find the value of k that will make f continuous on   . Find the value of k that will make f continuous on Let   Find the value of k that will make f continuous on   . .

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Refer to the graph of the function f in the following figure. Refer to the graph of the function f in the following figure.   Find the value of x for which f (x) = 2 and f (x) = 0. Find the value of x for which f (x) = 2 and f (x) = 0.

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Ace Truck leases its 10-ft box truck at $25/day and $0.45/mi, whereas Acme Truck leases a similar truck at $20/day and $0.55/mi.Find the daily cost of leasing from each company as a function of x number of miles driven.

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Find the indicated limit, if it exists. Find the indicated limit, if it exists.

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Let Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ . Find the average rate of change of y with respect to x in the interval from Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ to Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ . __________ Find the average rate of change of y with respect to x in the interval from Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ to Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ . __________ Find the average rate of change of y with respect to x in the interval from Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ to Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ . __________ Find the (instantaneous) rate of change of y at Let   . Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the average rate of change of y with respect to x in the interval from   to   . __________ Find the (instantaneous) rate of change of y at   . __________ . __________

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Ace Truck leases its 10-ft box truck at $35/day and $0.45/mi, whereas Acme Truck leases a similar truck at $30/day and $0.50/mi.Find the daily cost of leasing from each company as a function of x number of miles driven.

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