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====== Math 445 HW4 ====== **Problem 1:** Write a function ''coincount'' that computes the dollar value of a number of quarters, dimes, and nickels. Use it to compute the dollar value of 18 quarters, 5 dimes, and 12 nickels. **Problem 2:** Write a function ''hms2decimal'' that converts a time in hours, minutes, and seconds and converts it to hours in decimal. Use it to calculate the decimal equivalent of 6 hours, 27 minutes, and 18 seconds. **Problem 3:** Write a function ''decimal2hms'' that converts a time in decimal hours to hours, minutes, and seconds. Use it to compute the hours, minute, and seconds equivalent of 18.782 hours. **Problem 3:** Write a function ''polar2cartesian'' that converts polar coordinates ''r, theta'' to Cartesian coordinates ''x,y''. Use it to compute the Cartesian coordinates of ''r=2, theta=pi/6''. **Problem 4:** Write a function ''cartesian2polar'' that converts Cartesian coordinates ''x,y'' to polar coordinates ''r, theta''. Use it to compute the polar coordinates of ''x=2, y=3''. **Problem 5:** It is likely that for problem 4 you used an inverse trigonometric function to get the value of ''theta'' from ''x'' and ''y''.
