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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a06ffa0-0d71-401d-b46b-164341329fbe%2Ff13c5134-5535-4aee-9e19-fa09045e3dfa%2Ffqjl6hq_processed.jpeg&w=3840&q=75)
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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