You can get a relationship between the radius and height, and use that to get the radius in terms of the height and plug that in. You use this to get the equation of volume in terms of height, and can derive that to find what you need.
You pick an arbitrary point (x,y). The area of the rectangle would be (2x)*(2y) (because it's centered at the origin. If you get the equation of the ellipse in terms of y, you can sub that in and get a relationship between area and x, and you can maximize.
Are there answers to the review sheet?
ReplyDeleteFor #3f and #3g on the review sheet, how do you take the limit when there is a square root in the problem?
ReplyDeleteYou can either use l'hopital's rule or just compare the power of the greatest one divided by two
DeleteChance Stephenson
how do you the last three on #3?
ReplyDeleteon the review sheet
DeleteL'hopitals rule
DeleteHow do you do #9? I can't figure out the equations I need to use. I know I have to use volume, but that's all I know.
ReplyDeleteYou can get a relationship between the radius and height, and use that to get the radius in terms of the height and plug that in. You use this to get the equation of volume in terms of height, and can derive that to find what you need.
DeleteChance Stephenson
How do you do #15? I don't understand how to relate the area of the rectangle to the equation for the ellipse.
ReplyDeleteYou pick an arbitrary point (x,y). The area of the rectangle would be (2x)*(2y) (because it's centered at the origin. If you get the equation of the ellipse in terms of y, you can sub that in and get a relationship between area and x, and you can maximize.
DeleteChance Stephenson
Are there answers to the midterm sheet?
ReplyDelete