(A) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.OA. The absolute maximum, which occurs twice, is(Use ascending order)and x =at x =B. The absolute maximum is 54 at x 2c. There is no absolute maximum.Find the absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choiceOA. The absolute minimum, which occurs twice, isat x =and x(Use ascending order.)B. The absolute minimum is 10 at x 2C. There is no absolute minimum(B) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choiceThe absolute maximum, which occurs twice, is 6 at x=4 and x0(Use ascending order.)BThe absolute maximum isat x-AC. There is no absolute maximum.Find the absolute minimunm. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.and xat x=occurs twice, isminimum, whichThe absolute(Use ascending order)321 at x-B. The absolute minimum isCc. There is no absolute minimum.Click to select and enter your answer(s) and then click Check Answer.Clear AllpartremainingPOType here to searchhp

Question
Asked Nov 11, 2019
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Please assist me in finding the following values. There are 5 parts. Ignore the answers already in the spaces as they were from the previous question. The new question is as follows: 

f(x)=x^4+4x^3+6

A) [-2,2] B) [-4,0] C) [-2,1]

 

(A) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA. The absolute maximum, which occurs twice, is
(Use ascending order)
and x =
at x =
B. The absolute maximum is 54 at x 2
c. There is no absolute maximum.
Find the absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice
O
A. The absolute minimum, which occurs twice, is
at x =
and x
(Use ascending order.)
B. The absolute minimum is 10 at x 2
C. There is no absolute minimum
(B) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice
The absolute maximum, which occurs twice, is 6 at x=
4 and x0
(Use ascending order.)
BThe absolute maximum is
at x-
AC. There is no absolute maximum.
Find the absolute minimunm. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
and x
at x=
occurs twice, is
minimum, which
The absolute
(Use ascending order)
3
21 at x-
B. The absolute minimum is
Cc. There is no absolute minimum.
Click to select and enter your answer(s) and then click Check Answer.
Clear All
part
remaining
P
O
Type here to search
hp
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(A) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The absolute maximum, which occurs twice, is (Use ascending order) and x = at x = B. The absolute maximum is 54 at x 2 c. There is no absolute maximum. Find the absolute minimum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. The absolute minimum, which occurs twice, is at x = and x (Use ascending order.) B. The absolute minimum is 10 at x 2 C. There is no absolute minimum (B) Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice The absolute maximum, which occurs twice, is 6 at x= 4 and x0 (Use ascending order.) BThe absolute maximum is at x- AC. There is no absolute maximum. Find the absolute minimunm. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. and x at x= occurs twice, is minimum, which The absolute (Use ascending order) 3 21 at x- B. The absolute minimum is Cc. There is no absolute minimum. Click to select and enter your answer(s) and then click Check Answer. Clear All part remaining P O Type here to search hp

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Expert Answer

Step 1

We have to find the critical points first.

Find f'(x), then set f'(x)=0 and solve for x.

So, x=-3 and x=0 are critical points

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f(x) x+4x3+6 f'(x)-4x+4(3x2 f'(x) 4x+12x2 4x3+12x2-0 4x2(x+3) 0 x2 -0,x+3-0 x-0, x-3

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Step 2

A) We have to check value of f(x) at the critical points and the end points. 

Between [-2,2] , x=0 is the only critical point. 

54 is the absolute maximum and -10 is absolute...

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f(0)-0+4(0)+6=6 f(-2) (-2)+4(-2)+6=-10 f(2) 24+4(2)3+6=54, max

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