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

Mathematics

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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)

Mathematics

Evaluate the expression for the given value of the variable.  for a = 7

A. - 
B. - 
C.
D.

Mathematics

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

Mathematics

Solve the absolute value equation. = -12

A. x = - 
B. x = 
C. no solution
D. x = - 

Mathematics