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2.6 Related Rates I. Volume changes-implicit With change in volume, volume, radius, and height of the volume in a cone all depend upon the time of the.

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Presentation on theme: "2.6 Related Rates I. Volume changes-implicit With change in volume, volume, radius, and height of the volume in a cone all depend upon the time of the."— Presentation transcript:

1 2.6 Related Rates I

2 Volume changes-implicit With change in volume, volume, radius, and height of the volume in a cone all depend upon the time of the change occurring. Volume of the cone depends on r and h Differentiate with respect to t (related rate equation)

3 X and y with respect to t Given find when x=3 with and find when x=1 with

4 Answer Differentiate with respect to t

5 Rate of change The radius of a circle increases at a rate of 3cm/min. Find the rate of change of the area when r=6cm.

6 Answer Differentiate with respect to t

7 Rate of increase A spherical balloon is inflated at the rate of 800 cubic cm/min. How fast is the radius increasing at the instant the radius is 30 cm?

8 Answer Differentiate with respect to time


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