Assume t is defined for all time. Enter the letter of the graph below which corresponds to the curve traced by the parametric equations. Think about the range of æ and y, and whether there is periodicityand or symmetry.1. x = sin(t + sin(7t)); y = cos(t)2. x = t+ cos(10t); y = t + sin(t)3. z =-t+ 1;-14. x = sin(t);y = cos(t) – 2 cos(2t)5. x = | cos(t)| - cos(t); y = | sin(t)| - sin(t)ABE Notice that the curve given by the parametric equations49 – t2+3 - 9tis symmetric about the r-axis. (If t gives us the point (x, y), then -t will give (x, -y)).At which a value is the tangent to this curve horizontal?At which t value is the tangent to this curve vertical?t =DThe curve makes a loop which lies along the x-axis. What is the total area inside the loop?Area =

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Assume t is defined for all time. Enter the letter of the graph below which corresponds to the curve traced by the parametric equations. Think about the range of a and y, and whether there is periodicity and or symmetry. 1. z = sin(t + sin(7t)); y = cos(t) 2. z =t+ cos(10t); y = t? + sin(t) 3. z = -t+1; y = - 1 4. z = sin(t); y = cos(t) – 2 cos(2t) 5. z = |cos(t)| · cos(t); y = | sin(t)| sin(t) A B D E

Assume t is defined for all time. Enter the letter of the graph below which corresponds to the curve traced by the parametric equations. Think about the range of a and y, and whether there is periodicity and or symmetry. 1. z = sin(t + sin(7t)); y = cos(t) 2. z =t+ cos(10t); y = t? + sin(t) 3. z = -t+1; y = - 1 4. z = sin(t); y = cos(t) – 2 cos(2t) 5. z = |cos(t)| · cos(t); y = | sin(t)| sin(t) A B D E

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.FOM: Focus On Modeling: The Path Of A Projectile

Problem 7P: Shooting into the Wind Using the parametric equations you derived in Problem 6. draw graphs of the...

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