Exam 2: Limits and the Derivative

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Convert to a logarithmic equation. -Convert to a logarithmic equation. -

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Solve the equation. -Solve for r t Solve the equation. -Solve for r t   5 Ro Rund your answer to four decimal places. 5 Ro Rund your answer to four decimal places.

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Find the x-intercept(s) if they exist. -Find the x-intercept(s) if they exist. -

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Use the properties of logarithms to solve. -Use the properties of logarithms to solve. -

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For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or  horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

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Use the REGRESSION feature on a graphing calculator. -Since 1984 funeral directors have been regulated by the Federal Trade Commission. The average cost of a funeral for an adult in a Midwest city has increased, as shown in the following table. Use the REGRESSION feature on a graphing calculator. -Since 1984 funeral directors have been regulated by the Federal Trade Commission. The average cost of a funeral for an adult in a Midwest city has increased, as shown in the following table.   Let x represent the number of years since 1980. Use a graphing calculator to fit a quartic function to the data. Round Your answer to five decimal places. Let x represent the number of years since 1980. Use a graphing calculator to fit a quartic function to the data. Round Your answer to five decimal places.

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Solve the problem. -If $4,000 is invested at 7% compounded annually, how long will it take for it to grow to $6,000, assuming no withdrawals are made? Compute answer to the next higher year if not exact. Solve the problem. -If $4,000 is invested at 7% compounded annually, how long will it take for it to grow to $6,000, assuming no withdrawals are made? Compute answer to the next higher year if not exact.

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Determine whether the relation represents a function. If it is a function, state the domain and range. -Determine whether the relation represents a function. If it is a function, state the domain and range. -

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Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by y Solve the problem. -Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by y   What is the cost per ton for x = 30? What is the cost per ton for x = 30?

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Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by   what is the unit cost for 10 units? what is the unit cost for 10 units?

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Use a calculator to evaluate the expression. Round the result to five decimal places. -5) Use a calculator to evaluate the expression. Round the result to five decimal places. -5)

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Provide an appropriate response. -In a profit-loss analysis, point where revenue equals cost.

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Use point-by-point plotting to sketch the graph of the equation. -Use point-by-point plotting to sketch the graph of the equation. -

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Use point-by-point plotting to sketch the graph of the equation. -Use point-by-point plotting to sketch the graph of the equation. -

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Solve the problem. -An initial investment of $12,000 is invested for 2 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

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Graph the function. -Graph the function. -

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Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -Graph the function using a calculator and point-by-point plotting. Indicate increasing and decreasing intervals. -

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Solve the problem. -To estimate the ideal minimum weight of a woman in pounds multiply her height in inches by 4 and subtract 130. Let W = the ideal minimum weight and h = height. W is a linear function of h. Find the ideal minimum Weight of a woman whose height is 62 inches.

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Determine whether the function is linear, constant, or neither -Determine whether the function is linear, constant, or neither -

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Give the domain and range of the function. -h(x) = Give the domain and range of the function. -h(x) =

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