3. (a) Find the slope of the tangent line to the parabola y = x² + 3x at the point (-1, -2) (i) using Definition 1 (ii) using Equation 2 (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-1, -2) until the parabola and the tangent line are indistinguishable.
3. (a) Find the slope of the tangent line to the parabola y = x² + 3x at the point (-1, -2) (i) using Definition 1 (ii) using Equation 2 (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-1, -2) until the parabola and the tangent line are indistinguishable.
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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Question
![3. (a) Find the slope of the tangent line to the parabola
y = x² + 3x at the point (-1,-2)
(i) using Definition 1
(ii) using Equation 2
(b) Find an equation of the tangent line in part (a).
(c)
Graph the parabola and the tangent line. As a check on
your work, zoom in toward the point (-1, -2) until the
parabola and the tangent line are indistinguishable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55d9c139-c58c-49b2-baaf-e6645e4c2276%2F884def53-4818-40eb-be09-c2009cddf829%2Fehhlldc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. (a) Find the slope of the tangent line to the parabola
y = x² + 3x at the point (-1,-2)
(i) using Definition 1
(ii) using Equation 2
(b) Find an equation of the tangent line in part (a).
(c)
Graph the parabola and the tangent line. As a check on
your work, zoom in toward the point (-1, -2) until the
parabola and the tangent line are indistinguishable.
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