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Màximos y mìnimos (16633579)
Due:
Wed, May 6, 2020 11:00 AM -05
Question
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Question Details
SCalcET7 14.7.011.MI.SA. [3792903]
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Find the local maximum and minimum values and saddle point(s) of the function. If you have three
dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important
aspects of the function.
f(x, y) = x3 − 12xy + 8y3
2.
Question Details
SCalcET7 14.7.012. [3792830]
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing
software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your
answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = xy + 8 + 8
x
y
local maximum value(s)
local minimum value(s)
saddle point(s)
3.
(x, y, f) =
Question Details
SCalcET7 14.7.014. [3793212]
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing
software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your
answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = 9y cos(x),
0 ≤ x ≤ 2π
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f) =
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Question Details
SCalcET7 14.7.021. [3793173]
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Use a graph or level curves or both to find the local maximum and minimum values and saddle points of the function. Then
use calculus to find these values precisely. (Enter your answers as a comma-separated list. If an answer does not exist,
enter DNE.)
f(x, y) = x2 + y2 + x−2y−2 + 9
local maximum value(s)
local minimum value(s)
saddle point(s)
5.
(x, y, f) =
Question Details
SCalcET7 14.7.043.MI. [3793094]
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Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a commaseparated list.)
6.
Question Details
SCalcET7 14.7.046. [3793440]
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Find the dimensions of the box with volume 4096 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of
the box.)
(x, y, z) =
7.
Question Details
SCalcET7 14.7.048. [3793136]
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Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64 cm2. (Let x, y, and z
be the dimensions of the rectangular box.)
(x, y, z) =
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Name (AID): Màximos y mìnimos (16633579)
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