An object's distance from a fixed point at t seconds can be represented by the function f(t) = 5t2 inches. (a) Which of the following quantities would give the instantaneous velocity of the object at t = 3 seconds? (i) lim f(3+h)-f(3) ---Select--- ✓ h→0 h f(3+h)-f(3) h (ii) (iii) f'(3) ---Select--- ✓ (iv) f" (3) ---Select--- ✓ (v) f'(3+h)-f'(3) h ---Select--- ✓ ---Select--- v (vi) lim f'(3+h)-f'(3) ---Select--- ✓ h→0 h (b) What are the units for lim h→0 f(3+h)-f(3) h ? ---Select---
An object's distance from a fixed point at t seconds can be represented by the function f(t) = 5t2 inches. (a) Which of the following quantities would give the instantaneous velocity of the object at t = 3 seconds? (i) lim f(3+h)-f(3) ---Select--- ✓ h→0 h f(3+h)-f(3) h (ii) (iii) f'(3) ---Select--- ✓ (iv) f" (3) ---Select--- ✓ (v) f'(3+h)-f'(3) h ---Select--- ✓ ---Select--- v (vi) lim f'(3+h)-f'(3) ---Select--- ✓ h→0 h (b) What are the units for lim h→0 f(3+h)-f(3) h ? ---Select---
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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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