Maple #1 is due Thursday 11 January 2001 Papers which are not STAPLED will not be acepted ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ All plots need to have a title which includes your name. Introduction to maple. Note often the expressions below are not given in a format exceptable to Maple. For example, Maple does not understand 3x as 3*x, one must enter 3*x. Maple uses Pi for pi and does not know about e. Do the following using maple 0. Enter your name as a comment or as maple text. 1. Find a numeric approximation to pi and e, that is find pi and e to 50 digits. [Hint evalf(exp(1),20) would give e to 20 digits.] 2. Plot e^(-x) sin(4x) from 0 to 2 pi. [use exp(-x) or define e:=exp(1), the title uses backquotes and not single quotes.] 3. Find the derivative of 54 x^100 + ln 2x + square root 3x + x^-3. 4. Find the integral of x^2 from 2 to 5. 5. F=ma. a is 10 m/sec^2, F is 25 Newtons, enter this info and solve for m. [Hint use colon equal on everything but the equation.]