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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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?
f(3+h)-f(3)
h
(i) lim
h→0
f(3+h)-f(3)
h
(vi) lim
h→0
---Select--- V
(iii) f'(3) ---Select--- ✓
(iv) f" (3) ---Select---
(v) f'(3+h)-f'(3) ---Select--- ✓
h
---Select--- ✓
f'(3+h)-f' (3)
h
(b) What are the units for lim
h→0
---Select--- ✓
f(3+h)-f(3)
h
? ---Select---
Transcribed Image Text: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? f(3+h)-f(3) h (i) lim h→0 f(3+h)-f(3) h (vi) lim h→0 ---Select--- V (iii) f'(3) ---Select--- ✓ (iv) f" (3) ---Select--- (v) f'(3+h)-f'(3) ---Select--- ✓ h ---Select--- ✓ f'(3+h)-f' (3) h (b) What are the units for lim h→0 ---Select--- ✓ f(3+h)-f(3) h ? ---Select---
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