The total surface area S of a right circularcylinder is related to the base radius r and height h by theequation S = 2πr2 + 2πrh. How is dS/dt related to dh/dt if r is constant?

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A: Explanation of the answer is as follows

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A: The lateral surface area S of a right circular cone is related to the base radius r and height h by…

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A: 1.Here given vector A=4x+3y-2z |A| =(x2+y2+z2)1/2 Here x=4,y=3,z=-2 |A|=(16+9+4)1/2 |A|=√29

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Q: Q₂: Find the area of the region insid the circle v=1 and the Curve r= 2 sin@ (use double integral)

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A: Let's find.

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A: ∫ (y^2)dx is the formula for moment of inertia

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.