Find the partial derivative.Let z = g(x,y) = 6x + 3x2y2 - 8y2. Find 
.
A. 6 + 6yx2
B. 6yx - 16y
C. 6yx - 6y
D. 6yx2 - 16y
Answer: D
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Provide an appropriate response.Use a calculator to perform the calculations:
A. 
B. 
C. 
D. 
Find the composition.f(x) = 
; g(x) = 4x2Find (g ? f)(x).
A. (g ? f)(x) = 16
B. (g ? f)(x) = 
C. (g ? f)(x) = 76
D. (g ? f)(x) = 762
Graph. Label any intercepts and determine the slope of the line. If the slope is undefined, state this.y = 8
A. y-intercept: (0, 8), m: 0
B. y-intercept: (0, 0), m: 8
C. y-intercept: (0, 0), m: 
D. y-intercept: (8, 0), m: undefined
Provide an appropriate response.It is estimated that service industries will grow at the rate of R'(t) = 5e1/(t+1) where t is the time in decades and R(t) is the percent of (non-farming) workers who are employed in the service industry. If 30 percent of the (non-farming) workers are now in the service industry, then use Simpson's rule and n = 4 to approximate 30 + 
the percentage of workers who are working in the service industry in 2 decades.
Fill in the blank(s) with the appropriate word(s).