The rule of the derivative of a function f is given. Find the location of all local extrema.f'(x) = (x2- 1)(x - 5)
A. Local maximum at 1; local minima at -1 and 5
B. Local maximum at -1; local minima at -5 and 1
C. Local maximum at 5 - 
; local minimum at 5 + 
D. Local maxima at -1 and 5; local minimum at 1
Answer: A
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Evaluate the expression for the given value of x.
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A. 
B. 
C. 
D. 
E. 
Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = t3 + 1, y = t3 - 5; -2 ? t ? 2
A. y = x3; -3 ? x ? 1 B. y = x - 6; -7 ? x ? 9 C. y = -x - 6; -7 ? x ? 9 D. y = -x2; -4 ? x ? 4
Solve the problem.The formula y = 1 + 1.6 ln (x + 1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 7 consecutive free throws?
A. 149 days B. 42 days C. 44 days D. 147 days
Multiply. Express the product in lowest terms.
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A. 
B. 14z
C. 
D. 