26:33A heavy uniform rod of length 2a rests with its ends in contact with two smooth inclined planes, ofDoctor of Mathematics100 views·2 months ago
13:50A sphere of weight W and radius a lies within a spherical shell of radius b, the upper end of the veDoctor of Mathematics47 views·2 months ago
19:07If y=(x^2-1)^n , prove that (x^2-1)yn+2xyn+1-n(n+1)yn=0, hence if Pn=d^ndx^n(x^2-1)^n,show thatDoctor of Mathematics41 views·2 months ago
14:04Find the envelope of the family of the straight lines xa+yb=1 where the parameters a and b are conDoctor of Mathematics55 views·2 months ago
9:21Show that the envelope of a circle whose centre lies on the parabola y^2=4ax and which passes througDoctor of Mathematics51 views·2 months ago
7:14Find the envelope of the line xcosα+ysinα=a , the parameter being α and interpret the result geometrDoctor of Mathematics37 views·2 months ago
9:29If the committee is not registered with the Waqf Board, then how will it register on the Umeed po...Doctor of Mathematics128 views·5 months ago
9:29How can we registered in Umeed portal if committee is not registered in waqfboard#generalsolutionDoctor of Mathematics122 views·5 months ago
14:01Show that every square Matrix A can be expressed as R+iS ,R and S are Hermitian matrices, in uniqueDoctor of Mathematics92 views·6 months ago
11:08Prove that every real square Matrix A can be expressed a sum of a symmetric and a skew-symmetricDoctor of Mathematics53 views·6 months ago
12:13Apply the method of variation of parameters to solve d^2ydx^2+a^2y=secaxDoctor of Mathematics638 views·6 months ago
10:58Apply the method of variation of parameters to solve d^2ydx^2+a^2y=secaxDoctor of Mathematics106 views·6 months ago
10:14Show that L{(1+te^-t)^3}=1p+3(p+1)^3 +6(p+2)^3+6(p+3)^4Doctor of Mathematics51 views·6 months ago
10:41If sin(θ+iϕ)=tan(x+iy) , prove that tanθtanhϕ=sin2xsinh2yDoctor of Mathematics186 views·6 months ago
10:24If ω (≠) is a cube root of unity,then the value of (1-ω+ω^2)^5+(1+ω-ω^2)^5-32Doctor of Mathematics94 views·6 months ago
7:23If z=x+iy, where i=√-1,then z-3z+3=2 represents a circle,whose centre and radius , respectively,Doctor of Mathematics130 views·6 months ago
5:0331. If θ is real ,then (a) cos(iθ)=icoshθ (b) sin(iθ)=isinhθ✔️., (c)tan(iθ)=tanhθ,(d)cot(iθ)=icothθDoctor of Mathematics100 views·6 months ago
17:12If u=sec-1(x^3-y^3x+y) , show that x∂u∂x+y∂u∂y=2cotu , then evaluate x^2∂^2u∂x^2+2xy∂^2u∂x∂y+y^Doctor of Mathematics490 views·7 months ago
