Question 5 please:

4. Plot a circle with the radius of 2,r 2, on x-y plane, i.e., Hint: you can use the following relation x = rcos(), and y = rsin(where 0 5. Plot an ellipse with a = 2 and b-3 on x-y plane 2. (1 pt) You may want to review an article Ellipse Hint: you can use the following relation x - acos(9, and y = bsin(9 where 0 2n (1 pt) 6. Newton collects the rain in the container, and measures the water height, y, as a function of time t, as given table below. (3 pt) measurement water height time, t 0.5 0.8 2 2.0 3.0 4.0 2.2 2.8 4.2 4 Find the linear curve fit for the water height as a function of time using linear equation,f(t) = at + ao. To receive the full credit, the student solution MUST include (a) step-by-step approach (hand calculations) for /oao 0 and oII/oa 0, (b) final answers for ai, and ao, (c) plot (Matlab/Octave figure) for the predicted linear curve fit, f(t)-at t ao, AND given data in Table (to ensure that your answer is reasonable)