nsider the parabola y = 7x - x2. (a) Find the slope of the tangent line to the parabola at the point (1, 6). (b) Find an equation of the tangent line in part (a). y = (c) Graph the parabola and the tangent line. y y 2아 2아 10 10 -20 - 10 10 20 -20 -10 10 20 -10 20 y y 2아 2아 10 10 -20 -10 10 20 -20 -10 10 20 -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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nsider the parabola y = 7x – x².
(a) Find the slope of the tangent line to the parabola at the point (1, 6).
(b) Find an equation of the tangent line in part (a).
y =
(c) Graph the parabola and the tangent line.
y
2아
2아
1아
10
-20
-10
10
20
-20
-10
10
20
-10
20F
y
y
20아
2아
10
10
-20
-10
10
20
-20
-10
10
20
-10
-10
20아
20
Transcribed Image Text:nsider the parabola y = 7x – x². (a) Find the slope of the tangent line to the parabola at the point (1, 6). (b) Find an equation of the tangent line in part (a). y = (c) Graph the parabola and the tangent line. y 2아 2아 1아 10 -20 -10 10 20 -20 -10 10 20 -10 20F y y 20아 2아 10 10 -20 -10 10 20 -20 -10 10 20 -10 -10 20아 20
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