1001_3.4_Lab_11 - 1 A spherical balloon is leaking air and...

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CALCULUS 1 LAB 11 NAME: ___________________PARTNER: _________________ 3.4 Related Rates GSA:______________________Lab Time:_________________ Basic Guidelines: 1. Draw a sketch, label and identify the variables that change with time. 2. Write an equation relating these variables over time. 3. Differentiate implicitly on both sides of the equation with respect to time. 4. Substitute in the given values and units and solve for the desired rate. These problems are a small sample of related rate problems. Do not expect the quiz and test problems to be the same type as these. Do problems in the textbook to practice with a wider variety.
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Unformatted text preview: 1. A spherical balloon is leaking air and its radius is decreasing at a constant rate of 4 cm/min. At what rate is the air be leaking when the radius is 10 cm? 2. A 13-ft ladder is leaning against a wall. If the top of the ladder is sliding down the wall at a rate of 3 ft/s, how fast will the foot of the ladder be moving away from the wall when the top is 5 feet above the floor? 3. A conical water tank with the vertex down has a radius of 6 feet at the top and is 12 feet high. If water flows into the tank at a rate of 10 ft 3 /min, how fast is the depth of the water increasing when the water is 8 feet deep?...
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