Determine all critical points for the function.f(x) = x3 - 3x2 + 10
A. x = -1 and x = 1
B. x = 0 and x = 1
C. x = 0 and x = 2
D. x = 0
Answer: C
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Perform the indicated operation. Assume that all variables are nonnegative.
(
+ 14)
A. x
+ 14
B. x
+ 14
C. 
+ 
D. 
+ 14
In the problem, sin ? and cos ? are given. Find the exact value of the indicated trigonometric function.sin ? = 
, cos ? = 
Find tan ?.
A. 
B. 
C. 
D. 
Solve the problem.Murrel's formula for calculating the total amount of rest, in minutes, required after performing a particular type of work activity for 30 minutes is given by the formula R(w) = 
, where w is the work expended in kilocalories per min. A bicyclist expends 5 kcal/min as she cycles home from work. Find R'(w) for the cyclist; that is, find R'(5).
A. 6.12 min2/kcal B. 7.35 min2/kcal C. 8.57 min2/kcal D. 4.9 min2/kcal
A cooling water tower is in need of a larger ball float to shut off the inlet water when the tank is full. The present float is 6-inches in diameter and exerts 16-pounds of force. Calculations show that a ball having twice the volume would provide the necessary force.What is the diameter of the new float? Round your answer to the nearest hundredth.
A. 7.56 in. B. 20.2 in. C. 8.49 in. D. 6 in. E. 12 in.