Q1. Evaluate the following sum of fractions using symbolic maths in MATLAB.

Display the answer as a fraction. Use pretty function to display the output.

11 3   19 17 7 1 Q2. Using the symbolic maths toolbox (not using the command roots), solve the

following equation:

Display your answer in decimal format (not as fractions or as sum of numbers).

Q3. Given the function

(a) Plot the function y(x) using ezplot for -4  x  4.

(b) Obtain the function

Display the output using pretty command.

(c) Plot the function y1(x) using ezplot for -4  x  4 (use top half of a figure for

Q3.(a) and the bottom half for Q3.(c)). (d) Obtain the minima and maxima of the function y(x) [Hint: solve y1(x) = 0].

Display your outputs clearly in decimal format (not as fractions or as sum of numbers).

Q4. (from MATALB: An Introduction with Applications by Gilat) Define x and y as symbolic variables and create the two symbolic expressions

Use symbolic operations to determine the simplest form of S × T. Use the subs

command to evaluate the numerical value of the result for x = 9 and y = 3.

Q5. Consider the following set of three equations:

3 + 11x 6x 2 − 9x + 7 = 0 y(x) = 2 ( ) ( ) y x  1 2 + 2x + 10)x (x 2 + 2) (x d

using symbolic differentiation of y(x).

y x dx S = x + √xy and T = √x − y 4 2 + y 2

. 3x1 + 2x2 − 5x1 − 2x2 + x1 + 6x2 + 3x3 = 17 x3 = 12 2x3 = 5

Define a symbolic variable for each of the unknown, and use MATLAB's symbolic

capability to solve each unknown.

Q6. (from MATLAB for Engineers by H Moore, 3rd Use the following equation to create a symbolic function Z: Edition)

Z = sin(√X2 + Y2) √X2 + Y2 (a) Use the ezmesh plotting function to create a three-dimensional plot of Z.

(b) Use the ezsurf plotting function to create a three-dimensional plot of Z.

(c) Use the ezcontour to create a contour map of Z.

(d) Generate a combination of surface and contour plot of Z, using ezsurfc.

Use subplots to put all the graphs you create into the same figure.