


MATH1225  Chapter 4  Optimization.pdf
MATH1225__Chapter_4__Optimization.pdf
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MATH1225  Chapter 4  Optimization.pdfSec. 4.7 ...
MATH1225__Chapter_4__Optimization.pdfSec. 4.7 Optimization Problems EX: What
MATH1225  Chapter 4  Optimizatio...
MATH1225__Chapter_4__Optimization.pdfSec. 4.7 Optimization Problems EX: What
Page 1
Sec. 4.7
Optimization Problems
EX:
What is the minimum vertical distance between the parabolas
1
2
x
y
and
2
x
x
y
EX:
An opentop box is to be made by cutting small congruent squares from the corners of a 12in by 12in sheet
of tin and bending up the sides. How large should the squares cut from the corners be to make the box hold as much
as possible?
Page 2
EX:
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 5 cm.
EX:
You have been asked to design a 1liter (1000
3
cm
) can shaped like a right circular cylinder. What
dimensions will use the least material?
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