Solve the problem.The force F (in N) exerted by a cam on a lever is given by F = x4 - 13x3 + 45x2 - 67x + 30, where x (1 ? x ? 5) is the distance (in cm) from the center of rotation of the cam to the edge of the cam in contact with the lever. Find the instantaneous rate of change of F with respect to x when x = 4 cm.
A. -94 N/cm
B. -139 N/cm
C. -31 N/cm
D. -75 N/cm
Answer: D
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Find the linearization of the function at the given point.
at 
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B. 
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D. 
Write the first four terms of the sequence whose general term is given.an = 3n
A. 9, 27, 81, 243 B. 3, 9, 27, 81 C. 1, 3, 9, 27 D. 1, 8, 27, 64
Use a graphing utility to graph the inequality.2x + y - 3 ? 0
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B. 
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D. 
Use calculus to find any critical points and inflection points of the given function. Then determine the concavity of the function and the intervals over which it is increasing/decreasing.f(x) = e-7x
A. Critical points: critical point at x = 0 Inflection points: none Concavity: concave up for all real numbers Increasing: increasing for all x < 0 and decreasing for all x > 0 B. Critical points: none Inflection points: none Concavity: concave down for all real numbers Decreasing: decreasing for all real numbers C. Critical points: none Inflection points: none Concavity: concave up for all real numbers Decreasing: decreasing for all real numbers D. Critical points: none Inflection points: point of inflection at x = 0 Concavity: concave down for all x < 0 and concave up for all x > 0 Decreasing: decreasing for all real numbers