Class-12 Mathematics
17 videos • 62 views • by Doctor of Mathematics
1
Let f:A→B,g:B→C be bijections.Then show that gof:A→C is a bijection.
Doctor of Mathematics
Download
2
Let f:A→B,g:B→C be bijections.Then show that (gof)^-1=f^-1og^-1
Doctor of Mathematics
Download
3
Let f:A→B,Ia:A→A and Ib:B→B be function on A and B respectively.Then show that foIa=f=Ibof.
Doctor of Mathematics
Download
4
Prove that:ax(bxc)=(a.c)b-(a.b)c. [Vector triple product]
Doctor of Mathematics
Download
5
Solve:(1+e^x/y)dx+e^x/y(1-x/y)=0 in Hindi Urdu
Doctor of Mathematics
Download
6
Evaluate ∫x^2dx/1+x^4 from x=0 to x=∞
Doctor of Mathematics
Download
7
For the function f(x)=2x²+1 defined in interval [-2,2] verify the Rolle's theorem
Doctor of Mathematics
Download
8
Find all the roots of the equation x^5-1=0.
Doctor of Mathematics
Download
9
NCERT solutions class-12:Q9 Ex7.1. ∫(2x^2+e^x)dx
Doctor of Mathematics
Download
10
Demorgan's Laws :If A and B are any two sets , then (i) (AUB)'=A'∩B' (ii) (A∩B)'=A'UB'
Doctor of Mathematics
Download
11
Prove that nC2=n(n-1)/2
Doctor of Mathematics
Download
12
Define order of the ordinary differential equation
Doctor of Mathematics
Download
13
What is the degree of the differential equation d^3y/dx^3-3dy/dx-y=0
Doctor of Mathematics
Download
14
solve:dy/dx+ytanx=secx
Doctor of Mathematics
Download
15
Solve xdy-ydx-x(x^2-y^2)^1/2dx
Doctor of Mathematics
Download
16
Solve: xcos(y/x).(ydx+xdy)=ysin(y/x).(xdy-ydx).
Doctor of Mathematics
Download
17
Solve: dy/dx+xsin2y=x^3cos^2y
Doctor of Mathematics
Download