Final Exam - related rates practice.pdf - Related Rates Problems 1 Gas is escaping from a spherical balloon at the rate of 2 3 How fast is the surface

# Final Exam - related rates practice.pdf - Related Rates...

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Related Rates Problems 1. Gas is escaping from a spherical balloon at the rate of 2 ?? 3 /?𝑖? . How fast is the surface area shrinking when the radius is 12 ?? . Answer: ? ? ?????𝒌??? 𝒂? 𝒂 ?𝒂?? ?? ? ? ?? ? /??? 2. Water is running out of a conical funnel at the rate of 1 𝑖? 3 /??𝑐 . If the radius of the base of the funnel is 4 𝑖? and the height is 8 𝑖? , find the rate at which the water level is dropping when it is 2 𝑖? from the top. [ Volume of a cone: 1 3 𝜋? 2 ] Answer: ? 𝟗𝝅 ??/??𝒄 3. A balloon is rising vertically over a point ? on the ground at a rate of 15 ??/??𝑐 . A point ? on the ground is level with and 30 ?? from ? . When the balloon is
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