Find the derivative.y = 8 - 3x3
A. -6x2
B. 8 - 9x2
C. -9x2
D. -9x
Answer: C
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Solve the differential equation.
= 6x5
A. y = 
2 + 1
B. y = 
x12 + C
C. y = (2x6 + C) 2 + 1
D. y = (x6 + C) 2
Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
A. 81x2/15 B. 81x38/15 C. 3x2/15 D. 3x38/15
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 3x2 + 1, (-1, 3)
A. local maximum at (2, -3) local minimum at (0, 1) increasing on (-1, 0) decreasing on (0, 2) B. local maximum at (2, -3) local minimum at (0, 1) increasing on (-1, 0) and (2, 3) decreasing on (0, 2) C. local maximum at (0, 1) local minimum at (2, -3) increasing on (0, 2) decreasing on (-1, 0) and (2, 3) D. local maximum at (0, 1) local minimum at (2, -3) increasing on (-1, 0) and (2, 3) decreasing on (0, 2)
Solve using the quadratic formula.3x2 = -8x - 2
A. 
B. 
C. 
D. 