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3. [10 points) The Utes are playing BYU at RiceEecles stadium. The Utes run a pass play to a receiver [wide open, obviously) running down
3. [10 points) The Utes are playing BYU at RiceEecles stadium. The Utes run a pass play to a receiver [wide open, obviously) running down the sideline at a rate of 8 yard per second. The quarterback is standing 30 yards from that same sideline. Let 1 denote how far the receiver is downeld, and D the distance between the quarterback and the receiver. Use related rates to determine how fast the distance between the quarterback and reciever is increasing when the receiver is :11] yards downeld'? [a] Sketch a schematic of the problem. Be sure to clearlyr indicate where the sideline is, where the quarterback is, how far away the quarterback is away from the sideline, where the receiver is, and be sure to label both I and D. [b] From your sketch, what equation do we know from trigonometry to help us solve this related rates problem? Write the equation, box your answer. State what 2: is, box your answer. Solve for D, boo: your answer. [c] Now use related rates to solve the problem that is asked within the problem statement
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