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The graph of f(x) = 2x³ + 3x²-120x + 21 has two horizontal tangents. One occurs at a negative value of a and the other at a positive value of a. "To receive full credit, you must show work using Calculus** A) What is the negative value of a where a horizontal tangent occurs? HI B) What is the positive value of a where a horizontal tangent occurs? HU

The graph of f(x) = 2x³ + 3x²-120x + 21 has two horizontal tangents. One occurs at a negative value of a and the other at a positive value of a. "To receive full credit, you must show work using Calculus** A) What is the negative value of a where a horizontal tangent occurs? HI B) What is the positive value of a where a horizontal tangent occurs? HU

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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@ W S The graph of f(x) = 2x³ + 3x² - 120x + 21 has two horizontal tangents. One occurs at a negative value of a and the other at a positive value of x. **To receive full credit, you must show work using Calculus** X A) What is the negative value of a where a horizontal tangent occurs? x= B) What is the positive value of a where a horizontal tangent occurs? H= Check Answer 3 C E D C 54 $ R LL F G Search or type URL % 5 V/ T 6 Y H & 7 U C * 500 8 9 K O L
Transcribed Image Text:@ W S The graph of f(x) = 2x³ + 3x² - 120x + 21 has two horizontal tangents. One occurs at a negative value of a and the other at a positive value of x. **To receive full credit, you must show work using Calculus** X A) What is the negative value of a where a horizontal tangent occurs? x= B) What is the positive value of a where a horizontal tangent occurs? H= Check Answer 3 C E D C 54 $ R LL F G Search or type URL % 5 V/ T 6 Y H & 7 U C * 500 8 9 K O L
Expert Solution
Step 1: Introduce to the given function

Given function is,

f left parenthesis x right parenthesis equals 2 x cubed plus 3 x squared minus 120 x plus 21


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