1) Suppose that F(x) = 15x³+4x² - 3x + π. For each of the following questions, type yes if the correct answer is yes and type no if the correct answer is no. a) Is F(x) an antiderivative of f(x) = 45x² + 8x - 3? b) Does f have any other antiderivatives? c) Is f 45x² + 8x - 3 dx = F(x) + + C, where C is an arbitrary constant ?

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...
icon
Related questions
Question
1) Suppose that F(x) = 15x³+4x² 3x + π.
For each of the following questions, type yes if the correct answer is yes and type no if the correct answer is
no.
a) Is F(x) an antiderivative of f(x) = 45x² + 8x - 3?
2
b) Does f have any other antiderivatives?
-
c) Is √ 45x² + 8x – 3 dx
=
F(x) + C, where C is an arbitrary constant ?
Transcribed Image Text:1) Suppose that F(x) = 15x³+4x² 3x + π. For each of the following questions, type yes if the correct answer is yes and type no if the correct answer is no. a) Is F(x) an antiderivative of f(x) = 45x² + 8x - 3? 2 b) Does f have any other antiderivatives? - c) Is √ 45x² + 8x – 3 dx = F(x) + C, where C is an arbitrary constant ?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning