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1) A cylinder, open on top, holds 100 liters of water.
What is the circumference of this barrel, if it were made to use the least
material?
2) A company makes a block of cheese designed to have
the height exactly five times the width. If they want a block of 1800 mm3,
and using the least possible surface area, what would be the length?
3) What are the points on the curve y = x2 - 59/2 that represent the local minimum distances from the point (0, -4)? (Note: I have not shown you a problem like this before. The first thing you need to realize is that you need the distance formula. I asked you to minimize distance. The second thing is that in optimization problems like these, it is not necessary to draw a graph. They can be done entirely algebraically, without knowing what the hell you just did.) Distance formula : (x - x1)2 + (y - y1)2 = D2
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