I NEED SOLUTION , MATLAB CODES AND ANSWER

(in fraction or decimal) 5. A pebble is thrown into still pond and causes concentric circular ripples. The radius of the ripples increases at the rate of 12 inch/sec. At what rate does the area of the ripples increase when its radius is 3 inches? (10pts) 12 in/s 6. Plot the following in a single MATLAB figure: (2pts each) (a) Circle with r = 1 and its center at the origin. Hint: use x2 + y2 = r2. (b) A parabola (at the origin) that opens to the right. (c) A hyperbola (transverse axis vertical) in which the center is at the origin. (d) The line y - x-6 = 0 with two points at A(0,6) and B(5,11). = 1 7. f(x) = V(x2 + 1), find f'(x) and P(x). Simplify your final answers. (10pts) 8. y' = sec? x + 3y tan x, solve the differential equation. (10pts) 9. Find the Laplace transform of g(s) = 1/15.(2pts) (in fraction or decimal) 5. A pebble is thrown into still pond and causes concentric circular ripples. The radius of the ripples increases at the rate of 12 inch/sec. At what rate does the area of the ripples increase when its radius is 3 inches? (10pts) 12 in/s 6. Plot the following in a single MATLAB figure: (2pts each) (a) Circle with r = 1 and its center at the origin. Hint: use x2 + y2 = r2. (b) A parabola (at the origin) that opens to the right. (c) A hyperbola (transverse axis vertical) in which the center is at the origin. (d) The line y - x-6 = 0 with two points at A(0,6) and B(5,11). = 1 7. f(x) = V(x2 + 1), find f'(x) and P(x). Simplify your final answers. (10pts) 8. y' = sec? x + 3y tan x, solve the differential equation. (10pts) 9. Find the Laplace transform of g(s) = 1/15.(2pts)