Question

Please solve it in MATLAB

6) Interpolation and plot: y=x*; x=0:5; a) Interpolate: x1= 1.5; x2=2.5; x3=3.5 b) Plot x and y and label axis. 7)- A= [1,2;3,4); B= [5,6;7,8] Using MATLAB find the following: A+B; A-B; AB, A/B, A-1,B-1, A.B, A./B 8). Using MATLAB: F(x) = y=x+- 2x2 + 3x – 4 a) find the roots of the polynomial f(x) b) find the integral of the polynomial f(x) c) find the SS(x)dx.

Answer 1

%----ques(6)-------------------------------------------------------------
x=(0:5)';
y=x.^3;
xi=[1.5 2.5 3.5]';
yi=interp1q(x,y,xi);
hold on
plot(x,y,'-r',xi,yi,'o');
xlabel('X-axis');
ylabel('Y-axis');
%--------ques(7)---------------------------------------------------
A=[1,2;3,4];
B=[5,6;7,8];
A_plus_B = A+B;
A_minus_B = A-B;
A_MULT_B =A*B;
A_BY_B = A/B;
A_INVERSE = A^-1;
B_INVERSE = B^-1;
A_DOT_B = A.*B;
A_DOT_BY_B = A./B;
%--------ques(8)-------------------------------------------------------
syms X;
Y=X^4 - 2*X^2 + 3*X - 4;
integ=int(Y);%part(a)
sol=roots([1 0 -2 3 -4]); % [1 0 -2 3 -4] are coeff of equation
Int=int(Y,-5,5); %part(c)