An angle of a triangle is measured to be 45°, with a possible relative error of 3%. How accurate is the sine of the angle? Use differentials in this problem. Using your calculator write your answer in terms of three decimal places.

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Q: A 10-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

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Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate (in rad/s) is…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A street light mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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