MTH643 Solved Quiz by Moin

SOLUTION OF MTH643 BY MOIN AKHTAR

SOLUTION:

>> syms r;

>> r=4;

>> a=pi*r^2

a =

50. 2655

>> c=a/2

c =

25. 1327

SOLUTION1:

syms x y

p(x,y)=(x^2+3*x*y^2+10)

p(x, y) =

x^2 + 3*x*y^2 + 10

subs(p(x,y),x,2)

ans =

6*y^2 + 14

Solution2:

syms x

u(x)=x^3+4*x+10

u(x) =

x^3 + 4*x + 10

subs(u(x),x,2)

ans =

Solution:

x=sym(pi/2) x = pi/2 cos(x) ans =0 sin(x) ans =1 tan(x) ans =Inf

SOLUTION: Part 1

close all clear all syms x y expand((x + y)^10) ans = x^10 + 10*x^9*y + 45*x^8*y^2 + 120*x^7*y^3 + 210*x^6*y^4 + 252*x^5*y^5 + 210*x^4*y^6 + 120*x^3*y^7 + 45*x^2*y^8 + 10*x*y^9 + y^10.