Question

1. Use polyfit to find a 4rd degree polynomial to fit the following set of data:

Value = -4:1:5; Vibration = [-507.6, -261.88, -100.03, -38.08, 6.9, 7.53, 15.6, 51.8, 182, 428.97].

Plot the best fitting curve and the data points on the same figure.

2. Given that a= [1 0 2] and b=[0 2 2] determine the values of the following expressions.

(a) a~=b

(b) a<b

(c) a<b<a

(d) a<b<b

(e) (a|~a)

(f) b&(~b)

(g) a(~(~b))

(h) a=b==a

(i) ~a<=b

(j) a>b&a<0

Answer 1

I have implemented the Task 1 and Task 2 per the given description.

Please find the following Code Screenshot, Output, and Code.

ANY CLARIFICATIONS REQUIRED LEAVE A COMMENT

Task 1:

1.CODE SCREENSHOT :

2.OUTPUT :

3.CODE :

%Given Data
Value = -4:1:5; 
Vibration = [-507.6, -261.88, -100.03, -38.08, 6.9, 7.53, 15.6, 51.8, 182, 428.97];
%fit a fourth degree polynomial 
fit=polyfit(Value,Vibration,4);
%plot the original and fitted data
plot(Value,Vibration,'O',Value,polyval(fit,Value));
xlabel('Value');
ylabel('Vibration');

Task 2:

Create the two vectors

(a) a~=b

a~=b return 0 if both are equal and 1 if both elements are not equal

(b) a<b

a<b return true(1) when the value in 'a' is lessthan value in 'b'

(c) a<b<a

(d) a<b<b

(e) (a|~a)

This is logical or with negation of itself which is always true

(f) b&(~b)

This is logical and with negation of itself which is always false

(g) a(~(~b))

(h) a=b==a

(i) ~a<=b

(j) a>b&a<0