For the given function:(a) Find the intervals on which the function is increasing and decreasing. (b) Then identify the function's local extreme values, if any, saying where they are taken on.(c) Which, if any, of the extreme values are absolute?f(x) = xe-x/2
What will be an ideal response?
(a) increasing on (-?, 2); decreasing on (2, ?)
(b) local maximum at x = 2 
(c) no absolute extrema
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Solve the problem.Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line 
if 
.
A. 
= 2, 
= 2
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 1, 
= 1
Use unit ratios or conversion factors to change to the units indicated. Round to the nearest tenth, if necessary.198 lb to kilograms
A. 435.6 kg B. 89.1 kg C. 502.9 kg D. 209.9 kg
Graph the one-to-one function as a solid curve and its inverse as a dashed curve on the same axes.y = x3 + 5
A. 
B. 
C. 
D. 
Solve the problem.Annika invested in a plan that has an APR of 8%. She invested in a 11% APR account $2500 more than she invested in the 8% account. If the total interest from the investments after 1 year is $3695, then what is the total amount that she invested?
A. $33,500 B. $38,500 C. $20,500 D. $36,000