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# Worksheet_3 - B us 14B Worksheet#3 Show all work on...

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Bus 14B Worksheet #3 Show all work on worksheet that is provided. Find the equation of the tangent line to the graph of the given function at the given value of x. 1) f(x) = (x 2 + 28) 4/5 ; x = 2 2) \$2500 is deposited in an account with an interest rate of r% per year, compounded monthly. At the end of 8 years, the balance in the account is given by A = 2500 1 + r 1200 96 . Find the rate of change of A with respect to r when r = 8. 3) The sales in thousands of a new type of product are given by S(t) = 210 - 70e - .6t , where t represents time in years. Find the rate of change of sales at the time when t = 3. Graph function. Find the derivative. 4) y = ln (6x + 5) e 6x + 5 5) Assume the total revenue from the sale of x items is given by R(x) = 33 ln (7x + 1), while the total cost to produce x items is C(x) = x/4. Find the approximate number of items that should be manufactured so that profit, R(x) - C(x), is maximum. Graph function. 6) Suppose that the population of a certain type of insect in a region near the equator is given by P(t) = 19 ln (t + 11), where t represents the time in days. Find the rate of change of the

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Worksheet_3 - B us 14B Worksheet#3 Show all work on...

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