For the given functions f and g, evaluate the following composite function.f(x) = 6x + 2; g(x) = x + 7; Find (f ? g)(3).
A. 62
B. 200
C. 30
D. 27
Answer: A
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Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. 
= 2x2e(x2 + y2 + z2); 
= xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
B. 
= (1 + 2x2) e(x2 + y2 + z2); 
= 2xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
C. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xe(x2 + y2 + z2); 
= xe(x2 + y2 + z2)
D. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xy2e(x2 + y2 + z2); 
= xz2e(x2 + y2 + z2)
Find the slope-intercept form of the equation of a line that passes through the given points.(9, 0), (0, 3)
A. y = - 
x - 3
B. y = - 
x + 3
C. y = 
x + 3
D. y = - 3x + 3
Solve the problem, rounding the answer as appropriate. Assume that "pure dominant" describes one who has two dominant genes for a given trait; "pure recessive" describes one who has two recessive genes for a given trait; and "hybrid" describes one who has one of each.In a population, 60% of females are pure dominant, 30% are hybrid, and 10% are pure recessive. If a pure recessive male mates with a random female and their first offspring has the dominant trait, what is the probability that the female is pure dominant?
A. 0.60 B. 0.40 C. 0.67 D. 0.75
Determine the integral by making an appropriate substitution.
Enter your answer with any coefficients in front as integers or reduced fractions of form 
.
What will be an ideal response?