Determine values of x and y for a cylinder. See image. AA rectonqular sheet of alumınumhas perimeter. 36 ft and dimensicnsx ft by y ft. The sheet1ô to be rolled' into the shapeof acircumference x ftDetermine thethat wil) maximizeof the eircular cylnder.circular cylinder havingas shown.values of x and ythevolumea) writeOn equation for theperrimeter of the sheet intermsx and y.b) Determine a formula for thevolume of the eylinder thatdepends on on ly x..(メ= 2rr)c) Analyze the derivative ofthe volume function to determinethe dimensions of eylinderhaving maximum valume. Circumference = x ft%3D- x ft-y ft

The perimeter of a rectangle is given by the formula P=2l+2b, where l is the length of the rectangle…

A A rectonqular sheet ot alum:inum has perimeter. 36 ft and dimensicns x ft by yft. The sheet 13 to be rolled' into the shape of a circular cylınder having Circumference x ft Determine the that will) maximize the of the as shown. values of' x and y volume circular cylinder. a) write an equation for the per r imeter of the sheet in terms x and y . b) Determine a formula for the volume of the cylinder that depends on on ly x. (ス= 2r-) c) Analyze the derivative of the volume function to determine the dimenslons of eylinder having maximum valume.

A A rectonqular sheet ot alum:inum has perimeter. 36 ft and dimensicns x ft by yft. The sheet 13 to be rolled' into the shape of a circular cylınder having Circumference x ft Determine the that will) maximize the of the as shown. values of' x and y volume circular cylinder. a) write an equation for the per r imeter of the sheet in terms x and y . b) Determine a formula for the volume of the cylinder that depends on on ly x. (ス= 2r-) c) Analyze the derivative of the volume function to determine the dimenslons of eylinder having maximum valume.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 56AR

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