Consider the graph of the function f (x)=x²-x - 30. (a) Find the equation of the secant line joining the points (-4, -10), and (6, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-4, 6) such that the tang parallel to the secant line. C= (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. -20 -10 -20 10- -10 0 10 10- 20 -20 ** 0 -20 y -30 10 y 20 10- y -20 -10 10 20 0 X 10 -10 10- 10 -30 y 10 20
Consider the graph of the function f (x)=x²-x - 30. (a) Find the equation of the secant line joining the points (-4, -10), and (6, 0). (b) Use the Mean Value Theorem to determine a point c in the interval (-4, 6) such that the tang parallel to the secant line. C= (c) Find the equation of the tangent line through c. (d) Use a graphing utility to graph f, the secant line, and the tangent line. -20 -10 -20 10- -10 0 10 10- 20 -20 ** 0 -20 y -30 10 y 20 10- y -20 -10 10 20 0 X 10 -10 10- 10 -30 y 10 20
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the graph of the function f (x)=x²-x - 30.
(a) Find the equation of the secant line joining the points (-4, -10), and (6, 0).
(b) Use the Mean Value Theorem to determine a point c in the interval (-4, 6) such that the tang
parallel to the secant line.
C=
(c) Find the equation of the tangent line through c.
(d) Use a graphing utility to graph f, the secant line, and the tangent line.
10-
10-
y
y
-10
10
20
-20
-10
10
0
0
+ X
10
10
-20
-20
-10
10-
0
10-
-20
-30
y
20
[-/1 Points] DETAILS LARHSCALC1 3.2.037
-20
-10
10-
10
-30
10
20
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa89fcfbc-9661-4037-a401-8de41697cbc3%2F40d1a99a-c691-4a1e-ba99-d4c750ad2837%2Fpg74lzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the graph of the function f (x)=x²-x - 30.
(a) Find the equation of the secant line joining the points (-4, -10), and (6, 0).
(b) Use the Mean Value Theorem to determine a point c in the interval (-4, 6) such that the tang
parallel to the secant line.
C=
(c) Find the equation of the tangent line through c.
(d) Use a graphing utility to graph f, the secant line, and the tangent line.
10-
10-
y
y
-10
10
20
-20
-10
10
0
0
+ X
10
10
-20
-20
-10
10-
0
10-
-20
-30
y
20
[-/1 Points] DETAILS LARHSCALC1 3.2.037
-20
-10
10-
10
-30
10
20
20
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