I Determine the area under the curve represented by the set of parametric equations x-P, y+1 for -IsIs2 2 The parametric curve C has the set of equations x = v7, y = 4 ri Determine the area under the curve from /= 3 to 1 = 5 3 The parametric equations x = sint, y = 2cost represent the curve C, over the interval 0sIs Find the area under the curve over the given interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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please solve the first 3 questions

Exercise 6A SKILLS ANALYSIS
I Determine the area under the curve represented by the set of parametric equations
x=P, y=+1 for -IsIs2
2 The parametric curve C has the set of equations x = v7, y = 4ri
Determine the area under the curve from = 3 to t = 5
3 The parametric equations x = sint, y = 2cost represent the curve C, over the interval 0 s1s
Find the area under the curve over the given interval.
4 The area under the curve x = 6r", y = , over the interval 2 5 15 b, is 117.
Determine the value of b.
5 Given that the curve C has parametric equations x = 2r}, y = 4r"}, determine the area under
the curve from i- 4 to t= 16, giving your answer in the form Inb.
6 Determine the area under the curve represented by the set of parametric equations
x= e", y= e for In3 sIs In8
Give your answer in an exact form.
Transcribed Image Text:Exercise 6A SKILLS ANALYSIS I Determine the area under the curve represented by the set of parametric equations x=P, y=+1 for -IsIs2 2 The parametric curve C has the set of equations x = v7, y = 4ri Determine the area under the curve from = 3 to t = 5 3 The parametric equations x = sint, y = 2cost represent the curve C, over the interval 0 s1s Find the area under the curve over the given interval. 4 The area under the curve x = 6r", y = , over the interval 2 5 15 b, is 117. Determine the value of b. 5 Given that the curve C has parametric equations x = 2r}, y = 4r"}, determine the area under the curve from i- 4 to t= 16, giving your answer in the form Inb. 6 Determine the area under the curve represented by the set of parametric equations x= e", y= e for In3 sIs In8 Give your answer in an exact form.
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