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2-0 3. Let f(x) = 2x³+4x-4. Use the intermediate-value theorem to estimate the location of the zero of on the interval [0, 1]. (Hint: follow the bisection method example in class.) Find the derivative f'(x) of f(x) 5m ² by the definition of tivo Thon BL(A)

2-0 3. Let f(x) = 2x³+4x-4. Use the intermediate-value theorem to estimate the location of the zero of on the interval [0, 1]. (Hint: follow the bisection method example in class.) Find the derivative f'(x) of f(x) 5m ² by the definition of tivo Thon BL(A)

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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Find the location of the zero. Question number 3
ITH210 Calculus I Written Homework 5 Textbook p.89 EXERCISES 2.4: 8, 10, 16. Determine whether or not the function is continuous the indicated point. If not, determine the type of the discontinuity. . Use the Pinching Theorem (section 2.5) for the following questions. Show your work. (a) If 7x+2 ≤ f(x) ≤ x2 +8, what is the value of lim f(x)? x-1 sin(). (b) Evaluate the limit lim x² sin #40 3. Let f(x) = 2x³+4x - 4. Use the intermediate-value theorem to estimate the location of the zero of f on the interval [0, 1]. (Hint: follow the bisection method example in class.) 4. Find the derivative f'(x) of f(x) = 5x - x² by the definition of derivative. Then calculate f'(4). (Hint: follow Example 5 on textbook page 108 section 3.1) 3 5. Find the derivative f'(x) of f(x) = by the definition of derivative. Then calculate f'(-2). x² (Hint: follow Example 4 on textbook page 107 section 3.1) 2 O F2 # 3 go F3 MAR 4 888 F4 % 5 A
Transcribed Image Text:ITH210 Calculus I Written Homework 5 Textbook p.89 EXERCISES 2.4: 8, 10, 16. Determine whether or not the function is continuous the indicated point. If not, determine the type of the discontinuity. . Use the Pinching Theorem (section 2.5) for the following questions. Show your work. (a) If 7x+2 ≤ f(x) ≤ x2 +8, what is the value of lim f(x)? x-1 sin(). (b) Evaluate the limit lim x² sin #40 3. Let f(x) = 2x³+4x - 4. Use the intermediate-value theorem to estimate the location of the zero of f on the interval [0, 1]. (Hint: follow the bisection method example in class.) 4. Find the derivative f'(x) of f(x) = 5x - x² by the definition of derivative. Then calculate f'(4). (Hint: follow Example 5 on textbook page 108 section 3.1) 3 5. Find the derivative f'(x) of f(x) = by the definition of derivative. Then calculate f'(-2). x² (Hint: follow Example 4 on textbook page 107 section 3.1) 2 O F2 # 3 go F3 MAR 4 888 F4 % 5 A
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