I have been having a hard time with this please Help. Graph each pair of parametric equations 1..x = 9in t + sin 8t
with a graphing calculator or by hand ?
any i guess
i jus need to kno how to solve it
t will be an angle ranging from 0 to 2pi (or 0º to 360º) you would pick angles in that interval, figure out x and y, plot the point, and continue. When you have enough "dots", connect the dots to make a curve.
It is a tedious process by hand
For example, when t=0 you would compute x = 7 sin t + sin 7t x = 7 sin(0) + sin(7*0) = 0 y = 7 cos t + cos 7t y = 7 cos(0) + cos(7*0) = 7*1+1= 8 plot the point(0,8) now try other (close by) angles, and plot the points
I was trying to make a differential equation; this is how far I got - 7x = 42sint - dy/dt 7y = 42cost + dx/dt I'll try after dinner.
Here is what it looks like http://www.wolframalpha.com/input/?i=x+%3D+7+sin+t+%2B+sin+7t%2C++y+%3D+7+cos+t+%2B+cos+7t
thank you!!
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