Suppose an object moves along the y axis so that its location is y=f(x) = x² + x at time x (y is in meters, x is in seconds). Find (A) The average velocity (the average rate of change of y with respect to x) for x changing from 3 to 7. (B) The average velocity for x changing from 3 to 3+h. (C) The instantaneous velocity at x = 3 second.

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Chapter1: Units, Trigonometry. And Vectors
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Suppose an object moves along the y axis so that its location is y=f(x) = x² + x at time x (y is in meters, x is in seconds). Find
(A) The average velocity (the average rate of change of y with respect to x) for x changing from 3 to 7.
(B) The average velocity for x changing from 3 to 3 + h.
(C) The instantaneous velocity at x = 3 second.
(A) The average velocity is
m/sec.
Transcribed Image Text:Suppose an object moves along the y axis so that its location is y=f(x) = x² + x at time x (y is in meters, x is in seconds). Find (A) The average velocity (the average rate of change of y with respect to x) for x changing from 3 to 7. (B) The average velocity for x changing from 3 to 3 + h. (C) The instantaneous velocity at x = 3 second. (A) The average velocity is m/sec.
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