Let f be defined as follows. f(x) = x² - 12x (a) Find the average rate of change of y with respect to x in the following

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Let F Be Defined As Follows F X X 12x A Find The Average Rate Of Change Of Y With Respect To X In The Following 1 (45.12 KiB) Viewed 55 times

Let f be defined as follows. f(x) = x² - 12x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 2 to x = 3 from x = 2 to x = 2.5 from x = 2 to x = 2.1 (b) Find the (instantaneous) rate of change of y at x = 2. Show your work by completing the four-step process. (Simplify your answers completely for each step.) f(x) = x² - 12x Step 1: (b) Step 2: Step 3: Step 4: 0.31 Points] (i) (ii) (iii) (iv) Step 1: Step 2: f'(2) = lim Step 3: h→0 Step 4: DETAILS The displacement (in meters) of a particle moving in a straight line is given by s = f(t) = t³ - 7t + 17, where t is measured in seconds. (a) Find the average velocity over each time interval. [3, 4] m/s [3.5, 4] m/s [4, 5] m/s [4, 4.5] m/s f(2 + h) = f(2 +h)-f(2)= f(2 +h)-f(2) h Find the instantaneous velocity when t = 4. Show your work by completing the four-step process. (Simplify your answers completely for each step.) s = f(t) = t³ - 7t + 17 f'(4) = lim h→0 f(2 +h)-f(2) h f(4 + h) = (Expand your answer completely.) f(4+h)-f(4) = f(4 +h)-f(4) h (Factor your answer completely.) f(4 +h)-f(4) h (Expand your answer completely.) (Factor your answer completely.) m/s