(a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y = x² - 7x + 7 at the points (0,7) and (6, 1). G'(a) = Y₁(x) = Y2(x) = (b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen. y -10 O O -10 y₁ -5 (passing through (0, 7)) -5 (passing through (6, 1)) Y₁ 20 10 -10 -20 20 10 -19 20 G(X) Y₂ 5 G (X) 10 10 X X -10 O -10 Y₁ -5 -5 Y₁ y 20 10 -10 20 y 20 10F -10 -20 5 دیل G(X) G(X) Y₂ 10 10 X X
(a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y = x² - 7x + 7 at the points (0,7) and (6, 1). G'(a) = Y₁(x) = Y2(x) = (b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen. y -10 O O -10 y₁ -5 (passing through (0, 7)) -5 (passing through (6, 1)) Y₁ 20 10 -10 -20 20 10 -19 20 G(X) Y₂ 5 G (X) 10 10 X X -10 O -10 Y₁ -5 -5 Y₁ y 20 10 -10 20 y 20 10F -10 -20 5 دیل G(X) G(X) Y₂ 10 10 X X
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:(a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y = x² - 7x + 7 at the points (0,7) and (6, 1).
G'(a)
=
Y₁(x) =
Y2(x) =
(b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen.
y
-10
O
O
-10
y₁
-5
(passing through (0, 7))
-5
(passing through (6, 1))
Y₁
20
10
-10
-20
20
10
-10
20
G(X)
Y₂
5
G (X)
10
10
X
X
-10
O
-10
Y₁
-5
-5
Y₁
y
20
10
-10
20
y
20
10F
-10
-20
5
دیل
G(X)
G(X)
Y₂
10
10
X
X
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