Warm up/ Review Unit 5 AP Calc AB

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nonexistent

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Front

The side of a cube is increasing at a constant rate of 0.2 cm/s. In terms of the surface area S, what is the rate of change of the volume of the cube, in cm³/s?

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0.01s

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If the length l of a rectangle is decreasing at a rate of 2 inches per minute while its width w is increasing at a rate of 2 inches per minute, what must be true about the area A of the rectangle?

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A is increasing only when l > w

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Front

How fast is the top of a 17-ft ladder moving down the side of a house when it is 8ft. above the ground, if the base is pulled away at 3 ft./sec?

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dy/dt = -45/8 ft/sec

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What is the radius of a cylindrical baby bottle with volume of 512 cubic inches that will use the minimum material?

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4.34 inches

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2 - \frac{4}{\cos(2x-y)}

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2y/x^2