Exam 2: Limits and the Derivative

Solve the problem. -The function M described by M(x) = 2.89x + 70.64 can be used to estimate the height, in centimeters, of a male whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a male whose Humerus is 30.93 cm long. Round your answer to the nearest four decimal places.

Determine whether the graph is the graph of a function. -

Write in terms of simpler forms. -

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. Express W as a linear function of h.

Compute and simplify the difference quotient quotient -f(x) = 5

Solve the problem. -A sample of 800 grams of radioactive substance decays according to the function A(t) = 800e-0.028t, where t is the time in years. How much of the substance will be left in the sample after 10 years? Round to the nearest Whole gram.

Solve the problem. -If $1250 is invested at a rate of f 8 compounded monthly, what is the balance after 10 years?

Find the equation of any horizontal asymptote. -

Determine the domain of the function. -

Solve the problem. -The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function: The function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain 1 15. They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit.

Use the properties of logarithms to solve. -3)

Solve graphically to two decimal places using a graphing calculator. -

Use the REGRESSION feature on a graphing calculator. -A strain of E-coli Beu-recA441 is placed into a petri dish at 30°Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law Of uninhibited growth. The population is measured using an optical device in which the amount of light that Passes through the petri dish is measured. Find the exponential equation in the form rm , where x i, where x s the hours of growth. Round to four decimal Places.

Solve the problem. -In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference P(x) = R(x) - C(x) Represents the total profit for producing x widgets. Given x widgets. Given and C(x) = 3x + 13, find the Equation for P(x).

Write in terms of simpler forms. -8)

Provide an appropriate response. -

Find the function value. -Given that at

Use the properties of logarithms to solve. -

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

Solve the problem. -Assume that a person's critical weight W, defined as the weight above which the risk of death rises dramatically, is given by , where W , where W is in pounds and h is the person's height in inches. Find the tcritical weight for a person who is 6 ft 11 in. tall. Round to the nearest tenth.