Provide the proper response.Answer the following:(a) Write the equation meaning "y varies inversely as x."(b) If y varies inversely as x, does x vary inversely as y? Support your answer.(c) If y varies inversely as the square root of x, does x vary inversely as the square root of y? Support your answer.
What will be an ideal response?
(a) y = 
for some constant .
(b) Yes. If y = 
, then x = 
.
(c) No.
If y = 
, then y2 = 
and x = 
.
Since k2 is also a constant, the equation shows that x varies inversely as the square of y, not the square root of y.
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Find the volume of the indicated region.the region bounded by the paraboloid 
and the xy-plane
A. 18? B. 27? C. 243? D. 162?
Evaluate the function for the indicated value.f(x) = x2 - 4x + 3; find f(2)
A. 9 B. -7 C. -1 D. 15
Use the given information to find the exact value of the expression.sin ? = 
, ? lies in quadrant II, and cos ? = 
, ? lies in quadrant I
Find cos (? - ?).
A. 
B. 
C. 
D. 
Simplify the expression using the order of operations. Write the answer as an improper fraction where appropriate.
A. 
B. 1
C. 2
D. 