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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 ?

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 ?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 73E
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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 ?
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