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Robots with telescoping arms are sometimes used to perform tasks (e.g., welding or placing screws) where access may be difficult for other robotic types. during a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5cos(4θ) and the arm rotates according to the relationship θ=−π4t2+πt , where r is in feet, θ is in radians, and t is in seconds. use a computer program to plot the path of tip a in x and y coordinates for 0 ≤ t ≤ 4s.

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Write a defining table and then a program that determines if you can sleep in or not. your program should get all its input from your computer’s clock. on all weekdays (monday through friday) that are not holidays, your program should output “get up! ” on all other days (weekends and holidays), your program should output “sleep in.” the three holidays that your program must check for are january 1 (new year’s day), july 4 (u.s. independence day), and december 25 (christmas). you don’t need to include other holidays in your program because most other holidays do not occur on a fixed day each year.