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
I just need help with number 4. I understand 1,2,3 but I don't get 4.
*NOTE* This is not a graded question rather an old practice sheet provided by my teacher for extra practice.
![1. Find the equation(s) of the tangent line(s) at the point(s) of intersection of the curves
f(x) = x³ – 3x² + 4x – 2 and g(x) = 2x² – 3x + 1
2. Find the area of the triangle formed by the 3 points where the slopes of the tangent lines to
the curve y = x* - 2x² + 4 are zero at these points.
3. Find the value of the tangent to y = Vx+ vx² + 1 at x = 0
sin2x
4. Find f'(x) and the equation of the tangent line to y =
at x = n
1-cosx
mark10
3.5
4.5
4 prob
IP, 3N or NA
IS, 3N
No attempt or
Nominal effot on any
question
or
IP, 25, IN
IP, 38
45 or
IG. 28. N
or
or
IG.35
2G.2N or NA
score
2-
2
2+
3-
3
mark/10
5.5
65
7.5
4 prob's
IP, 20, IS
IP, IG, IS, IN
IP, IG, 25
or
IP, 3G
IP, 2G, IN
or
2P, IG, IN
or
2P, 28
or
20, 28
2P, 2N
or
or
3G, IN
or
20, IS, IN
3G, IS
2P, IG, IS
or
4G
score
4
4+
mark/10
8
8.5
9.5
10
4 pro
3P, IN/NA
or
3P, IS
3P, IG
4P
4P
2P, 2G
(with at 123P)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aa3303b-0d00-45a0-a06e-4a668a8f76fb%2Fa29d1199-36ad-429d-88f0-6fae89f141b7%2F8e32u9s_processed.png&w=3840&q=75)
Transcribed Image Text:1. Find the equation(s) of the tangent line(s) at the point(s) of intersection of the curves
f(x) = x³ – 3x² + 4x – 2 and g(x) = 2x² – 3x + 1
2. Find the area of the triangle formed by the 3 points where the slopes of the tangent lines to
the curve y = x* - 2x² + 4 are zero at these points.
3. Find the value of the tangent to y = Vx+ vx² + 1 at x = 0
sin2x
4. Find f'(x) and the equation of the tangent line to y =
at x = n
1-cosx
mark10
3.5
4.5
4 prob
IP, 3N or NA
IS, 3N
No attempt or
Nominal effot on any
question
or
IP, 25, IN
IP, 38
45 or
IG. 28. N
or
or
IG.35
2G.2N or NA
score
2-
2
2+
3-
3
mark/10
5.5
65
7.5
4 prob's
IP, 20, IS
IP, IG, IS, IN
IP, IG, 25
or
IP, 3G
IP, 2G, IN
or
2P, IG, IN
or
2P, 28
or
20, 28
2P, 2N
or
or
3G, IN
or
20, IS, IN
3G, IS
2P, IG, IS
or
4G
score
4
4+
mark/10
8
8.5
9.5
10
4 pro
3P, IN/NA
or
3P, IS
3P, IG
4P
4P
2P, 2G
(with at 123P)
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