Question

Find the absolute extrema of the function on the interval [1, 5]. ?(?) = 2?2 − 8? − 1

Answer #1

Find the absolute extrema of the function on the closed
interval
f(x)= 1 - | t -1|, [-7, 4]
minimum =
maximim =
f(x)= x^3 - (3/2)x^2, [-3, 2]
minimim =
maximim =
f(x)= 7-x, [-5, 5]
minimim =
maximim =

Find the absolute extrema of the function on the closed
interval. h(s) = 10 / (s − 3) , [0, 1]

Find the absolute extrema of the given function in the given
interval
f(x) = 4x3+3x2-18x+3 , ( 1/2,3)

1) find the
absolute extrema of function f(x) = 2 sin x + cos 2x on the
interval [0, 2pi]
2)
is f(x) = tanx
concave up or concave down at x = phi / 6

Find the absolute extrema (absolute max/min) of ?(?, ?) = ?? − ?
− 2? + 8 on the triangular region ? with vertices (0,0), (4,0), ???
(0,4). Draw the region and call the boundary on the x-axis ?1 (?,
?), the boundary on the y-axis ?2 (?, ?), and the boundary on the
diagonal of the triangle ?3 (?, ?). Note: Re-write each boundary as
a function of one-variable.

7. Find the absolute extrema of ?(?) = ??^? − ??? on the
interval [?, ?]. Round final answers to the nearest hundredth where
appropriate. State the value of the Absolute Max/Min and where it
occurs.
Absolute Max:____________________________ Absolute Min:
______________________________

Consider the function f(x)=−8x−(2888/x) on the interval [11,20].
Find the absolute extrema for the function on the given interval.
Express your answer as an ordered pair (x,f(x)). (Round your
answers to 3 decimal places.)

(2) a) [12 pts] Find the absolute extreme values of the function
on the given interval ??(??) = ?^3 − 9?^2 + 24? − 2 [0, 5]
b) [4 pts] Is the absolute maximum/minimum found above local
extrema? (State your reason)

Find the absolute extrema of the function on the closed
interval. (Order your answers from smallest to largest x,
then from smallest to largest y.)
f(x) = sin(4x), [0, π]
minimum(x, y)=
(x, y)=
maximum(x, y)=
(x, y)=

Find the absolute maximum and minimum value of the function ?(?)
= 1/(?^2 + 2? + 9) on [−2,1]. Hint : ?^2 + 2? + 9 ≠ 0. If the
absolute extrema happens at a point in the interior of [−2, 1], you
must explain/show your work for how you know that point is an
extrema.

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