MatLAB Answers

2. Write a Matlab function that accepts a vector of values and returns a vector of derivatives at those points. You can assume that the values are given on an equally spaced array with spacing h. Use the two point central difference formula df dx = fi+1 − fi−1 2h for all points except the two endpoints. For the endpoints use a one-sided derivative that uses two points. The function should have the form

1.     Logs are stacked in a pile with 24 logs on the bottom row and 10 on the top row. There are 15 rows in all with each row having one more log than the one above it. (Use S_n=n/2[2a+(n-1) d])

a)      How many logs are in the stack?

Create the following matrix by assigning vectors with constant spacing to the rows (use the linspace command for the third row). Do not type individual elements explicitly.

A =

1.0000 2.0000 3.0000 4.0000 5.0000 6.0000

7.0000 6.0000 5.0000 4.0000 3.0000 2.0000

2.0000 3.1667 4.3333 5.5000 6.6667 9.0000

Solve the following system of six linear equations on MatLAB:

2a-4b+5c-3.5d +1.8 e + 4 f= 52.52 

-1.5 a + 3b +4c-d-2e +5f= -21.1 

5a+b-6c+3d -2e +2 f = -27.6 

1.2a 2b +3c+4d-e+4f=9.16 

4a+b-2c-3d-4e+1.5 f= - 17.9 

3a+b-c+4d-2e-4 f= -16.2

Write a function that draws a circle on the coordinate plane.

The MATLAB function should use a,b r inputs, where a and b are the x-axis and y-axis coordinates of the center of the circle and the radius being r.

Add the labels to axes and annotation (a,b) at the center of the circle.

(use the parametric equation of a circle).

You are given the price list of certain equipment (Table 1).

Write a script or function that takes an input for the number of items from each equipment and calculates the total number of equipment, total cost, and average cost per item.

(Table 1: Price List: )

Equipment Price (£)

Power generator 30

Transformer 10

Stepper motor 15

DC motor 8.5

Write a script of function that will take an input as the total budget and calculate how many items can be purchased for each equipment

On the first day of the month, 4 customers come to a restaurant. Afterwards, those 4 customers come to the same restaurant once in 2,4,6 and 8 days respectively.

a). On which day of the month, will all the four customers come back to the restaurant together?