Chapter-2 related Rates

Chapter-2 related Rates - Chapter-2 Related Rates 1. A...

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Chapter-2 Related Rates 1. A rectangular plot of farmland will be bounded on one side by a river on the other three sides by a single strand electric fence. With 1200 m of wire at your disposal what is the largest area you can enclose and what are its dimensions? 2. Two sides of a triangle have lengths a, b and the angle between them is x. What value of x will maximize the triangle area? 3. A light shines from the top of a pole 50 ft. high. A ball is dropped from the same height from 30 ft. away from the light. How fast is the shadow of the ball moving along the ground .5 seconds later? 30/240 4. Your class wants to design an open box having a square base and a surface area of 108 sq. unites. What dimensions will produce a box with maximum volume? 5. A rocket that is launched vertically is tracked by a radar station located on the ground 3 miles from the launch site. What is the vertical speed of the rocket at the instant that distance from the radar station is 5 miles and the distance is increasing at the rate of 5000 mi/h? 6.
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Chapter-2 related Rates - Chapter-2 Related Rates 1. A...

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