Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. 
and 
; relative maximum value: 
; relative minimum value: 
B. 
and 
; saddle point: 
; relative minimum value: 
C. 
; saddle point: 
D. 
; relative maximum value: 
E. there are no critical points
Answer: B
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Solve the problem.An office manager needs to buy new filing cabinets. Cabinet A takes up 8 square feet of floor space. Cabinet B takes up 4 square feet of floor space. The office has room for no more than 32 square feet of cabinets. Thus, 
where x is the number of A cabinets and y is the number of B cabinets. Does the office have enough floor space for 3 A cabinets and 4 B cabinets?
A. Yes B. No
Compute and simplify the difference quotient 
, h ? 0.f(x) = 
A. 
B. 
C. - 
D. 
Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first six terms of the geometric sequence: -3, -15, -75, . . . .
A. 11718 B. - 3906 C. -93 D. - 11718
In the figure below, a person standing at point A notices that the angle of elevation to the top of the antenna is 46º30'. A second person standing 35.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43º18'. How far is the person at A from the base of the antenna? Apply the rules regarding the use of significant digits when determining your answers.
?
?
Distance = __________ ft
Fill in the blank(s) with the appropriate word(s).