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Please show work 1. The radius of a sphere is increasing at a constant rate of 2 inlmin. Find the rate of change of the

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1. The radius of a sphere is increasing at a constant rate of 2 inlmin. Find the rate of change of the volume of the sphere when the radius is 24 inches. 2. All edges of a cube are expanding at a rate of 3 cm/sec. How fast is the volume changing when each edge of the cube is 10 cm? How fast is the surface area of the cube changing at this instant? 3. A balloon rises at a rate of 30 meters per second from a point on the ground 30 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 30 meters above the ground. 4. A balloon is rising vertically above a level, straight road at a constant rate of 1 ftlsec. Just when the balloon is 65 feet above the ground, a bicycle passes under it going 17 ftlsec. How fast is the distance between the bicycle and balloon increasing 3 seconds later

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