b. Find the values of xin (2, 2) l y - gx) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f for the following functions f b. Evaluate f'(a) for the given values of a. 21. f(x) 5x +2: a 1,2 22. fx) 7:a1,2 23. fx)42+1: a 2,4 24. fx)3x: a1.4 25. 26.x)2:a 1.0 x + 1 x+ 2 27, f(t) =-; a = 9, 28, f(w) = V4w-3; a = 1,3 f f and then 29. f(s) 4s + 3s; a 3,-1 30. f(t) = 3t4; a =-2,2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(1). (Recall that the velocity function v is the derivative of the position fiunction s.) b. Determine the instantaneous velocity of the projectile at t 31. s()1612 100 32. s(t)1612 128t + 192 33. Evaluate rand Lifys_ 34dnds 1 and 1 2 seconds. dy dy x+ 1 x 2

b. Find the values of xin (2, 2) l y - gx) Practice Exercises 21-30. Derivatives a. Use limits to find the derivative function f for the following functions f b. Evaluate f'(a) for the given values of a. 21. f(x) 5x +2: a 1,2 22. fx) 7:a1,2 23. fx)42+1: a 2,4 24. fx)3x: a1.4 25. 26.x)2:a 1.0 x + 1 x+ 2 27, f(t) =-; a = 9, 28, f(w) = V4w-3; a = 1,3 f f and then 29. f(s) 4s + 3s; a 3,-1 30. f(t) = 3t4; a =-2,2 31-32. Velocity functions A projectile is fired vertically upward into the air, and its position (in feet) above the ground after t seconds is given by the function s(t). a. For the following functions s(t), find the instantaneous velocity function v(1). (Recall that the velocity function v is the derivative of the position fiunction s.) b. Determine the instantaneous velocity of the projectile at t 31. s()1612 100 32. s(t)1612 128t + 192 33. Evaluate rand Lifys_ 34dnds 1 and 1 2 seconds. dy dy x+ 1 x 2

Name: For number 27, I understand the basic setup, but I'm unsure of what to
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Description: For number 27, I understand the basic setup, but I'm unsure of what to do after I write out derivative function. b. Find the valuesofxin(2,2)ly - gx)Practice Exercises21-30. Derivativesa. Use limits to find the derivative function f for the following

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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