Use matlab

Math 151 Lab 2 Use MATLAB to solve each problem. Some of the commands you may need on this assignment are: syms, solve, subs, fplot, simplify, limit, double, plot 1. Let a) Eliminate the parameter t to find a Cartesian equation of the curve in- b) Sketch the graph of the curve represented by the parametric equations. c) Given this graph, rearrange the equation in part a) (by hand) to produce cos t and y-3 +sin(t). volving r and y. Use an interval of t E [0, 2m) and use axis equal. a more familiar equation of the graph in part b). Enter your answer in a text or comment line. 2. Simplify the expression sin(2 arcsin(x). In a text or comment line, explain how this answer would be obtained by hand. 3. Let g(x)-Vein/) a) Find lim ) b) This limit can be proven using the Squecze Theorem. Find functions f and h which satisfy the Squeeze Theorem and graph all three functions on one set of axes in the domain r [o, 1]. 2e* 4. Given f(x) a) Define the matrix A- Find f (A) to numerically estimate lim f(r) and lim f(r). Use format long b) Compute the limits in part a) exactly c) Plot f and the horizontal asympotote(s) on the interval (-10, 10] to graph- ically verify your answers