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1. Rationalize the denominator of each expression. Write answer in simplest form. +7. A construction worker drops a bolt while working on a high-rise building.

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1. Rationalize the denominator of each expression. Write answer in simplest form.

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+7. A construction worker drops a bolt while working on a high-rise building. 320 m above the ground. After / seconds, the bolt has fallen a distance of $ metres, where s(/) = 320 - 574, 0 =/= 8. a. Calculate the average velocity during the first, third, and eighth seconds. b. Calculate the average velocity for the interval 3 = / = 8. c. Calculate the velocity at / = 2.\f8. Evaluate the limit by using a change of variable. x - 2 - 1 a. lim d. lim x - 8 r - 1 - X Vx - 2 b. lim e. lim X-+27 - 3 Vx3 - 8 re - 1 (x + 8)3 - 2 c. lim f. lim mix-17. Sketch a graph of the following function: x - 1, if x

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