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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? (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---

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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