Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 288
B. 36
C. 2592
D. 324
Answer: B
You might also like to view...
Find the limit.
A. ?
B. - 
C. -?
D. 4
Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve 
(t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?
A. ?f??g = 0
B. f approaches a local extremum as ? ? 0.
C. ?f?
= 0
D. ?g = 0
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies directly with x. When x = 
, then y = 9.
A. k = 
; y = x + 
B. k = 
; y = 
x
C. k = 36; y = 36x
D. k = 
; y = 
x
Solve the problem.Jon has 825 points in his math class. He must have 89% of the 1000 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?
A. 890 points B. 734 points C. 175 points D. 65 points