Factor, if possible.48x3y + 100x2y + 48xy
A. 4xy(4x + 1)(3x + 12)
B. 4xy(4x + 3)(3x + 4)
C. 4xy(12x + 3)(x + 4)
D. 4y(4x + 1)(3x + 12)
Answer: B
Mathematics
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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (7x + 3)x
A. ln (7x + 3) + 
B. (7x + 3)x
C. (7x + 3)x
D. x ln (7x + 3)
Mathematics
Solve the problem.If f(x) = 
and g(x) = 4x + 3, find g(f(x)).
A. x
B. - 
C. 4x + 9
D. x + 6
Mathematics
Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = u(u - 1), u = x2 + x
A. 4x3 + 6x2 - 1 B. 2x2 + 4x C. 2x2 + 4x + 1 D. 4x3 + 6x2 - 2x
Mathematics
Solve.A cylindrical water storage tank has a diameter of 8 meters and a height of 9 meters. Find the capacity of this tank rounded to the nearest hundredth when necessary. Use ? ? 3.14.
A. 1808.64 m3 B. 16,277.76 m3 C. 452.16 m3 D. 576 m3
Mathematics