Solve the problem.The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. Find the instantaneous rate of change of the volume with respect to x when x = 4 inches.

A. 49.21 cubic inches per inch
B. 12 cubic inches per inch
C. 192 cubic inches per inch
D. 48 cubic inches per inch

Answer: D

Mathematics

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Solve the problem.Since the end of the Cold War, jobs in defense manufacturing and aerospace have disappeared as the U.S. government spends less on defense. Employments at Lockheed for various years are listed in the table below.(Source: Lockheed Missile and Space)Let L represent the employment (in thousands of people) at Lockheed t years since 1900.i) Use your graphing calculator to create a scattergram of the Lockheed data. Then use your calculator to sketch the graph of the equation Which data point(s) are above the line?ii) Use the linear model to estimate when

there were 35 thousand employees at Lockheed.iii) Use the linear model to predict the number of employees at Lockheed in 2010. Has model breakdown occurred?iv) What is the slope of the equation What does the slope tell you in terms of the employment at Lockheed - be as specific and complete as you can be.v) Find the t-intercept. What does your result mean in terms of Lockheed?vi) Find the L-intercept. What does your result mean in terms of Lockheed?

What will be an ideal response?