Consider the region illustrated below, bounded above by ? = ?(?) = 10 cos ( ??...

Consider the region illustrated below, bounded above by ? = ?(?) = 10 cos ( ?? 9 ) and below by ? = ?(?) = ? −?+3 . The curves intersect at the points (?, ?(?)) and (?, ?(?)), where 0 < ? < ? < 5. Do not try to find or estimate the values of ? or ?.

a. The total area of the region.

b. The volume of the solid that has this region as its base, where cross-sections perpendicular to the ?-axis are semicircles with their diameters on the xy-plane.

c. The volume of the solid that results by revolving this region about the x-axis.

d. The volume of the solid that results by revolving this region about the line ? = 5.

Solutions

Expert Solution

milcah answered 1 year ago

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