Write a chain rule formula for the following derivative.
for u = f(p, q); p = g(x, y, z), q = h(x, y, z)
A. =
+
+
B. =
C. =
+
D. =
+
Answer: D
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Factor. If a polynomial is prime, state this.3x3 + 6x2y - 24xy2
A. 3x(x + 2y)(x - 4y) B. (x - 2y)(3x2 + 12xy) C. 3x(x - 2y)(x + 4y) D. (3x2 + 6xy)(x - 4y)
Evaluate the expression for the given value of the variable. for a = 7
A. -
B. -
C.
D.
Solve the problem.After introducing an inhibitor into a culture of luminescent bacteria, a scientist monitors the luminosity produced by the culture. Use a graphing utility to fit a logarithmic function to the data. Predict the luminosity after 20 hours.
A. y = 107.55 - 41 ln (x), -15.27 B. y = 112.97 - 45.97 ln (x), -24.74 C. y = 100.5 - 32.7 ln (x), 2.54 D. y = 98.75 - 32.66 ln (x), 0.91
Solve the absolute value equation. = -12
A. x = -
B. x =
C. no solution
D. x = - ,