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Determine the solution of the following equations using Solve, NSolve or FindRoot. (a) tanr - 3.3 + 1 (b) The system of algebraic equations i. 3.c - 2y = 2, r+y = 7 ii. ac - y = 0, ++ ay = 1 iii. x - y = 1, x? + y = 4 iv. 23 - y = 1, 22 - 3.cy + y2 = 8 V. ax + y + z = 1, 1- +22=0, 2x + 3y - 2= 2 vi. 32 - 4y2 + 3z = 1, x+y+z = 0,23 - x'y = -1 Define the following functions in Mathematica and evaluate them at the specified points. (a) f(x) = 1** * = 0,0.5, and (b) f(x) = log(x + VI - 1%): < =0,0.1,0.2, and 0.3 Consider the function defined in (1.1). Use FindRoot to determine an eight-digit accurate approximation to its root at a = 0. Start with an initial guess at x = 1. f(,,w) = sin(x-wt). Use FindRoot and find a root of /(1,1,4) starting with t = 0. Repeat with t =1.
Run all the code and save the file as a pdf. Then upload the file to Canvas. If you are having trouble with saving as a pdf then submit the Mathematica notebook itself. Use Solve or NSolve to determine the roots or zeros of the following expressions. (a) ax? + bx + c (b) (x3 + bx? + cx +d (c) x2 + 1 (d) 3 + 1 (e) 1/3 - 2+1 (f) sin 2 - (g) sin' x - $ (h) sinx?- $ (1) sina- *. Familiarize yourself with the syntax of the FindRoot command by using ? Then use FindRoot in this problem.