For Valentine's Day, you decide to make your own vase to hold the flowers for your significant other. To make the vase, you rotate the curve y= x for the outer surface and the curve y=1.25x² +1 for the inner surface about the y-axis. You will make a flat bottom so that it will not keep rolling over. 4) a) How high should you make the vase so that it holds 2 liters of water? Assume that your coordinate system is scaled in centimeters. (Also note that 2 liters = 2000 cm³.) Use Maple, your calculator or Desmos to help you solve this. b) What volume of material do you need to create the vase? c) Graph the outer surface of the vase using Maple.
For Valentine's Day, you decide to make your own vase to hold the flowers for your significant other. To make the vase, you rotate the curve y= x for the outer surface and the curve y=1.25x² +1 for the inner surface about the y-axis. You will make a flat bottom so that it will not keep rolling over. 4) a) How high should you make the vase so that it holds 2 liters of water? Assume that your coordinate system is scaled in centimeters. (Also note that 2 liters = 2000 cm³.) Use Maple, your calculator or Desmos to help you solve this. b) What volume of material do you need to create the vase? c) Graph the outer surface of the vase using Maple.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For Valentine's Day, you decide to make your own vase to hold the flowers for your significant other. To
make the vase, you rotate the curve y =x for the outer surface and the curve y=1.25x² +1 for the inner
surface about the y-axis. You will make a flat bottom so that it will not keep rolling over.
4) a) How high should you make the vase so that it holds 2 1liters of water? Assume that your coordinate
system is scaled in centimeters. (Also note that 2 liters = 2000 cm³.) Use Maple, your calculator or
Desmos to help you solve this.
b) What volume of material do you need to create the vase?
c) Graph the outer surface of the vase using Maple.
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