Let y = 1+ eX (a) Find an equation of the tangent line to the curve y at the point (0, 3). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y y 5 5 -3 -2 -1 1 (0, 3) *(0, 3) -2 0, -3) -4 -5 х 3 -3 -2 -1 -2 -1 1 -6 1 Ko, -3)

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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Let y =
1 + e-x*
(a) Find an equation of the tangent line to the curve y at the point (0, 3).
(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.
y
y
y
6
6
5
-3
-2
-1
4
4
-1
3(0, 3)
(0, 3)
-2
2
-30, -3)
1
1
-4
X
-5
-3
-2
-1
1
2
-3
-2
-1
1
2
3
-1
-1
y
1
X
-1
1
2
3
-1
- 30, -3)
-4
-5
-6
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Transcribed Image Text:Let y = 1 + e-x* (a) Find an equation of the tangent line to the curve y at the point (0, 3). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y y y 6 6 5 -3 -2 -1 4 4 -1 3(0, 3) (0, 3) -2 2 -30, -3) 1 1 -4 X -5 -3 -2 -1 1 2 -3 -2 -1 1 2 3 -1 -1 y 1 X -1 1 2 3 -1 - 30, -3) -4 -5 -6 Need Help? Read It Watch It 2.
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