10. ll. (8 points) 1 2 x a. Sketch the region bounded by the curves y = , y = 64x and y = 8x b. Find the area of the region sketched in part a. (8 points) Amotorcycle starting from rest, speeds up with a constant acceleration of 2.6 m/ s2. After it has traveled 120 m, it slows down with a constant acceleration of?l.5 m/ s until it attains a velocity of 12 m/ s. What is the distance traveled by the motorcycle at that point? Hint. Do not use decimals, leave square roots indicated. (6 points) a. The temperature ofa 10 m long metal bar is 15?C at one end and 30?C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? b. Explain why there must be a point on the bar where the temperature is the same as the average, and ?nd it.
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