MATH-1225 - Chapter 4 - Optimization.pdf...
MATH-1225_-_Chapter_4_-_Optimization.pdf-Sec. 4.7 Optimization Problems EX: What
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MATH-1225 - Chapter 4 - Optimizatio...
MATH-1225_-_Chapter_4_-_Optimization.pdf-Sec. 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 open-top box is to be made by cutting small congruent squares from the corners of a 12-in by 12-in 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 1-liter (1000
3
cm
) can shaped like a right circular cylinder. What
dimensions will use the least material?

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Calculus_of_a_Single_Variable
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