Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Related questions
Question
Hello,
Can someone please show how to solve problem 2?
![1 For the parametric curve x =
1
1+t'
defined by t = 2. Then determine
y =
d'y
dx²
t
t-1'
find an equation for the tangent line to the curve at the point
at this point.
Determine the length of the curve x = t³, y =
31²
2
2
3
Find the Cartesian coordinates of the following points (given in polar coordinates):
3.a (√2, π/4)
3.b (-√2, π/4)
0 ≤t≤ √3.
| 3.c (5,arctan(4/3)) 3.d (2√3, 2π/3)
4 Find the polar coordinates, - ≤0 < and r≥ 0, of the following points given in Cartesian coordinates:
4.a (-2,-2)
4.b (0,3)
4.c (-√3,1)
4.d (5,-12)
5
In the Cartesian plane, graph the sets of points whose polar coordinates satisfy the inequalities
0 ≤0 ≤/2, 1≤|r| ≤ 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77ccc228-61ae-45bc-bff3-36e89ce5abe9%2Fedaff11e-bdc8-4c3a-ba36-0cecd94e484c%2Fetsx0rm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1 For the parametric curve x =
1
1+t'
defined by t = 2. Then determine
y =
d'y
dx²
t
t-1'
find an equation for the tangent line to the curve at the point
at this point.
Determine the length of the curve x = t³, y =
31²
2
2
3
Find the Cartesian coordinates of the following points (given in polar coordinates):
3.a (√2, π/4)
3.b (-√2, π/4)
0 ≤t≤ √3.
| 3.c (5,arctan(4/3)) 3.d (2√3, 2π/3)
4 Find the polar coordinates, - ≤0 < and r≥ 0, of the following points given in Cartesian coordinates:
4.a (-2,-2)
4.b (0,3)
4.c (-√3,1)
4.d (5,-12)
5
In the Cartesian plane, graph the sets of points whose polar coordinates satisfy the inequalities
0 ≤0 ≤/2, 1≤|r| ≤ 2.
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