Exercise1: Use MATLAB to plot the graphs of each of the following. Then determine what interval for t is needed in order to trace the entire graph only once. (Use subplot(2,2,1) through subplot(2,2,3) to getthethreegraphsontoonewindow.) a.) intervalfor t inordertotrace r = 4cos(2t) onlyonce: (1)Circleone: 1. [0,/3] 2. [0,/2] 3. [0,2] 4. [0,] b.) intervalfor t inordertotrace r = cos(5t) onlyonce: (2)Circleone: 1. [0,/3] 2. [0,/2] 3. [0,2] 4. [0,] c.) intervalfor t inordertotrace r = sin(t/2) onlyonce: (3)Circleone: 1. [0,4] 2. [0,3] 3. [0,2] 4. [0,] d.) Submitaprint-outofyourgraphs (4) Attach your graph to the worksheet. Exercise2: a.) UseMATLABtoplot r = sin(2t) and cos(2t) onthesamegraph. (5) Attach your graph to the worksheet. b.) sin(2t)= (6)Circleone: 1. cos(2t + /2) 2. cos(2t/4) 3. cos(2t + /4) 4. cos(2t/2) Exercise3: a.) UseMATLABtodrawthegraphof r =64sin(t). Submitthegraph (7) Attach your graph to the worksheet. b.) r =64sin(t) isa (8)Circleone: 1. rose 2. limacon 3. circle 4. cardiod

Excercise 1