Question

You have to use MATLAB to solve these questions. Please answer these 5 questions!

ercise 1: pae). eate a graph of y cos4x over [0, n]. To illustrate what happens when there are too few points in your domain, first try a step size of n/ 10 1. Which command gives the desired values for x? Select exactiy one of the cholices 2. Which command gives the correct answer for Select exactly one of the choice y - cos(4x) y cos4'x y cos(4 x) 3. Plot your graph with the plot command. You don't need to turn it in. 4. Redo your plot, thi s time using the command 2x-linspace(e,pi) to define the x array. Which plot looks more like the plot of a cosine curve? Select exactty one of the choices. The first one。 the second one . both of them Exercise 2 we wish to plot the function fx) ecoat) over the interval to,2n]. 1. What command generates a sufficient number of values for >? Select exactly one of the choices linspace(e,2"pi) inspace(,108,2"pi) 012*pl:0.e1 2. Which command will generate the corresponding y values Select exactly one of the chbices exp cos() s(x)expcos()) exp)cos()

Answer 1

1)- when we define a vector using syntax such as,

x = 0:pi/10:pi

It returns a row vector starting with 0 and last value being pi, with total 10 values each at equal interval as pi/10.

Hence x = 0 pi/10 2pi/10 3pi/10 4pi/10 5pi/10........pi

Whereas if syntax is given as option 2, which is not feasible, hence will return error.

Command linspace also works almost same but with little different syntax. For example if x =linspace(0,pi)

It will return a row vector dimension of 100 with linearly divided intervals between 0 and pi. Which means more values and hence more smother plot for y.

2)- correct syntax for this equations is y=cos(4*x)

3)- command for plotting is as follows.

%define x vector

x = 0:pi/10:pi;

y = cos(4*x);

plot(y,x)

4)- if we define x with linspace command, we will have more closer data points and inturn it will produce plot with closer to cosine curve.

x=linspace(0,pi);

y=cos(4*x);

plot(y,x)

2.1)- it is already explained earlier both option 1 and 2 will produce more data points .

2.2)-exp(cos(x))