1. Find the exact values of the critical numbers of each of the following functions and determine the absolute maximum and absolute minimum of each function on the given interval. (In determining the absolute extrema, you may use decimals to help you compare the y-values.) a. f(x) = x3 - 6x² + 15x b. f(x) = x - 2 cos x on [-1, 1] on [0, 3t/2] %3D

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Assignments - Calculus I (MAT X
H13 Due October 22, 2021.pdf x
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Find the exact values of the critical numbers of each of the following functions and
determine the absolute maximum and absolute minimum of each function on the given
interval. (In determining the absolute extrema, you may use decimals to help you
compare the y-values.)
1.
1
a. f(x) = x3 - 6x² + 15x
b. f(x) = x - 2 cos x
on [-1, 1]
on [0, 3r/2]
%3D
2. A rectangle is inscribed inside the parabola y = 8 - x2 and above the x-axis as shown
below.
a. Find the area of the rectangle in terms of x.
(х, у)
b. Find the dimensions of the rectangle with the
largest area.
W
3. A rectangular area needs to be fenced in such that fencing on one side costs $15 per
meter while the other three cost $10 per meter. The owner of the land has $500 to
spend.
...
II
Transcribed Image Text:Assignments - Calculus I (MAT X H13 Due October 22, 2021.pdf x + © File | JUsers/qh5702ij/Downloads/H13%20Due%200ctober%2022,%202021.pdf Update : H13 Due October 22, 2021.pdf 1 / 1 164% + | A O Find the exact values of the critical numbers of each of the following functions and determine the absolute maximum and absolute minimum of each function on the given interval. (In determining the absolute extrema, you may use decimals to help you compare the y-values.) 1. 1 a. f(x) = x3 - 6x² + 15x b. f(x) = x - 2 cos x on [-1, 1] on [0, 3r/2] %3D 2. A rectangle is inscribed inside the parabola y = 8 - x2 and above the x-axis as shown below. a. Find the area of the rectangle in terms of x. (х, у) b. Find the dimensions of the rectangle with the largest area. W 3. A rectangular area needs to be fenced in such that fencing on one side costs $15 per meter while the other three cost $10 per meter. The owner of the land has $500 to spend. ... II
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