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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.

Freya realizes she does not have enough in her bank account to use the debit card. she decides to use a credit card instead. which questions should freya answer before using a credit card? check all that apply. can i pay at least the minimum payment each month? can i make payments on time and avoid late fees? will i have to take out a loan? how much in finance charges can i afford to pay? should i talk to a consumer credit counseling service?

Write a program that asks the user to enter the name of an input file. if the file does not exist, the program should prompt the user to enter the file name again. if the user types quit in any uppercase/lowercase combinations, then the program should exit without any further output.