Consider the set of parametric equations below: Sx(t) = t2 ly(t) = t10 %3D What are the range of x(t) and y(t) – ie, what are the possible outputs? Give your answer in inequality notation. a. b. Eliminate the parameter and simplify completely, resulting in y as a function of x (so your equation should be "y=" something). 10 c. Graph the set of parametric equations on your calculator. Do you get the picture you expected? If not, why do you think it came out different?

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 35E
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I need help answering a and c. I need help finding the range and I need help figuring out what is the expected picture.
3. Consider the set of parametric equations below:
fx(t) = t2
ly(t) = t10
What are the range of x(t) and y(t)– ie, what are the possible outputs? Give your
answer in inequality notation.
a.
b. Eliminate the parameter and simplify completely, resulting in y as a function of x (so
your equation should be "y=" something).
10
c. Graph the set of parametric equations on your calculator. Do you get the picture you
expected? If not, why do you think it came out different?
is at
1,5) at t = 0, and at (2,3)
%3D
Transcribed Image Text:3. Consider the set of parametric equations below: fx(t) = t2 ly(t) = t10 What are the range of x(t) and y(t)– ie, what are the possible outputs? Give your answer in inequality notation. a. b. Eliminate the parameter and simplify completely, resulting in y as a function of x (so your equation should be "y=" something). 10 c. Graph the set of parametric equations on your calculator. Do you get the picture you expected? If not, why do you think it came out different? is at 1,5) at t = 0, and at (2,3) %3D
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