(a) Using your calculus skills, find the equation of the tangent line to the parabola y = 4x² - 2x + 6 when x = 3. Please write the equation of this tangent line in the form y = mx + b y = (b) On the same coordinate system, draw a graph of the parabola in part (a) and the line that you found. Make sure that your line is actually tangent to the parabola at the point specified.
(a) Using your calculus skills, find the equation of the tangent line to the parabola y = 4x² - 2x + 6 when x = 3. Please write the equation of this tangent line in the form y = mx + b y = (b) On the same coordinate system, draw a graph of the parabola in part (a) and the line that you found. Make sure that your line is actually tangent to the parabola at the point specified.
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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![### Calculus Problem: Finding a Tangent Line
**(a)** Using your calculus skills, find the equation of the tangent line to the parabola
\[ y = 4x^2 - 2x + 6 \]
when \( x = 3 \).
Please write the equation of this tangent line in the form \( y = mx + b \).
\[ y = \underline{\hspace{4cm}} \]
**(b)** On the same coordinate system, draw a graph of the parabola in part (a) and the line that you found. Make sure that your line is actually tangent to the parabola at the point specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54e8c682-be67-4ef0-bd1d-cf8b2e543b76%2F5ec586a5-5746-4425-bd22-3b9643aa9493%2F5td91s8_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculus Problem: Finding a Tangent Line
**(a)** Using your calculus skills, find the equation of the tangent line to the parabola
\[ y = 4x^2 - 2x + 6 \]
when \( x = 3 \).
Please write the equation of this tangent line in the form \( y = mx + b \).
\[ y = \underline{\hspace{4cm}} \]
**(b)** On the same coordinate system, draw a graph of the parabola in part (a) and the line that you found. Make sure that your line is actually tangent to the parabola at the point specified.
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