This is Matlab.

QUESTION 1 (Symbolic Mathematics): a. The equation of a circle in the x-y plane with radius R and its center at point (2,4) is given by (x-2)2 + (y-4)2 = R2. The equation of a line in the plane is given by y = x/2 + 1. Determine the coordinates of the points (as function of R) where the line intersects the circle. b. A weather balloon was launch to assist in forecasting the weather report. The height of the balloon can be measured for first 48 hours by using the following polynomial equation. h(t) = -0.12t2 + 12t3 - 380t2 + 4100t + 200 i. Use symbolic functions to determine the velocity of the balloon. ii. Use symbolic function to determine the acceleration of the balloon. Substitute the value of t=48 hr and calculate the answer. (10 Marks)