Provide an appropriate response.y is jointly proportional to x and z. Find the constant of variation if y = 1,680; x = 28; and z = 12.
A. 672
B. 4
C. 720
D. 5
Answer: D
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Let 
and compute the Riemann sum of f over the interval 
, choosing the representative points to be the left endpoints of the subintervals, using:
?
Two subintervals of equal length 
.
?
__________ sq units
?
Five subintervals of equal length 
.
?
__________ sq units
?
Ten subintervals of equal length 
.
?
__________ sq units
?
Can you guess at the area of the region under the graph of f on the interval 
?
?
? __________ sq units
What will be an ideal response?
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x5 - x2; (-2, 2)
What will be an ideal response?
For the given functions f and g, find the requested composite function.f(x) = -6x + 9, g(x) = 2x + 3;
Find (g ? f)(x).
A. -12x - 15 B. -12x + 21 C. -12x + 27 D. 12x + 21
Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.(x3y-1)7
A. x21y7
B. 
C. 
D. 