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51

Step-by-step Answer
PAGE: 464SET: ExercisesPROBLEM: 51
Please look in your text book for this problem Statement

(a)

.

Differentiate on each side.

.

Consider Right hand side of the expression.

= Lefthand side expression of (1).

.

(b)

(i)

The region is bounded by , ,  and .

Rotation is about -axis.

The volume of the solid is .

.

.

 cubic units.

(ii)

The region is bounded by ,  and .

Rotation is about -axis.

The volume of the solid is .

Here  and .

 cubic units.

(a) .

(b)

(i)  cubic units.

(ii)  cubic units.



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