1. Use a local linear approximation of the function f(x) = Vr cos[(2x)) at some point to to approximate 3.98 cos((7.96)x
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1. Use a local linear approximation of the function f(x) = Vr cos[(2x)) at some point to to approximate 3.98 cos((7.96)x
1. Use a local linear approximation of the function f(x) = Vr cos[(2x)) at some point to to approximate 3.98 cos((7.96)x). (3 points) 2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in meters) from his starting point after t seconds is given by f(t) = 2t - 176 + 48t – 15. (a) At any time t, find his rate of acceleration. (2 points) (b) Find the time to if to is the first instance that he changed direction. (2 points) (c) At t = 1, determine if Sheldon is speeding up or slowing down. (2 points) 3. Kuya Bill is selling 'Bill phones?. If the cost for selling & phones is given by 10000 C(x) = 1202 + 2000 and the price-demand function is given by 2000 P(x) = 1000 + 200.x ? approximate the profit of producing the 11th unit of phone. (3 points)
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