A box has a square base of side x and height h. (a) Find the dimensions x, h for which the volume is 25 and the surface area is as small as possible. (Use symbolic notation and fractions where needed.) 2.92 Incorrect h = 2.92

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.6: More On Inequalities And Problem Solving
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A box has a square base of side x and height h.
(a) Find the dimensions x, h for which the volume is 25 and the surface area is as small as possible.
(Use symbolic notation and fractions where needed.)
2.92
Incorrect
h =
2.92
Incorrect
(b) Find the dimensions x, h for which the surface area is 23 and the volume is as large as possible.
(Use symbolic notation and fractions where needed.)
1.96
Incorrect
h =
1.96
Incorrect
Transcribed Image Text:A box has a square base of side x and height h. (a) Find the dimensions x, h for which the volume is 25 and the surface area is as small as possible. (Use symbolic notation and fractions where needed.) 2.92 Incorrect h = 2.92 Incorrect (b) Find the dimensions x, h for which the surface area is 23 and the volume is as large as possible. (Use symbolic notation and fractions where needed.) 1.96 Incorrect h = 1.96 Incorrect
< Question 11 of 14 >
Use a computer algebra system to find the transition points.
y = 5e2 In(x)
(Give your answers to six decimal places. Provide your answers as comma separated x-values. Enter DNE if a point does
not exist.)
Find the local maxima.
Find the local minima.
Find the inflection points.
X =
Transcribed Image Text:< Question 11 of 14 > Use a computer algebra system to find the transition points. y = 5e2 In(x) (Give your answers to six decimal places. Provide your answers as comma separated x-values. Enter DNE if a point does not exist.) Find the local maxima. Find the local minima. Find the inflection points. X =
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