03:13

Find the Cartesian equation of curve x=acos^3t , y=bsin^3t (in parametric form)

07:27

Compute the nxn determinant |3 2 0... 0,1 3 1...,0 2 3 2 0...0...,23|

25:51

To prove : dr/ds=cosϕ , ds/dr=√1+(rdθ/dr)

00:36

Wa Akhiridawana Anilhamdulillahi rubbulalmeen "वा आखिरिदवाना अल्हम्दुलिल्लाहि रब्बिल आलमीन"

08:41

Prove that the homogeneous equation of of second degree ax^2+2hxy+by^2=0 represents a pair of straig

02:15

(x+y)^3+(x-y)^3 UPPCS-2024 General studies II

20:58

If tanθ=tanhxcoty and tanϕ=tanhxtany , prove that sin2θ/sin2ϕ=(cosh2x+cos2y)/(cosh2x-cos2y)

17:34

Show that the vector field F defined by F=(siny+z)i+(xcosy-z)j+(x-y)k is conservative and find ϕ if

01:32

शुतुरमुर्ग के बारे में Ostrich

06:44

Prove that the three points whose position vectors are -2a+3b+5c,a+2b+3c,7a-c are collinear

09:33

Forces P,Q act at O and have a resultant R.If any transversal cuts their lines of action at A,B,C re

06:01

If axb=cxd and axc=bxd , show that a-d is parallel to b-c.

08:52

ABCD is a parallelogram and P the point of intersection of the diagonals;O is any point.Show that OA

10:07

Show that (a-b)x(a+b)=2axb. all vectors

03:01

Triangle Law of Addition of two vectors

03:32

Prove that ax(b+c)+bx(c+a)+cx(a+b)

00:31

Jazakallah fiddrain जजाकल्लाह फिदारैन का मतलब क्या होता है

22:05

G का उपग्रुप N एक विशिष्ट उपग्रुप होगा यदि केवल यदि gNg-1=N ,g अवयव है G

13:25

If f=xy^2i+2x^2yzj-6yz^2k,then (a) divf,and (b) curl f at the point (1,-1,1).

11:16

Show that curl(r^nr)=0

53:42

Trace 17x^2-12xy+8y^2+46x-28y+17=0

08:15

ABCDEF is a regular hexagon express the vectors AC AD AE AF in terms of the AB and BC.(all vectors)

21:29

Reduce tan-1(cosθ+sinθ) to the form a+ib hence show that tan-1(e^iθ)=nπ/2+π/4+i/2logtan(π/4+θ/2).

11:43

To prove d^2r/dt^2+r=0 (all vectors) If a ,b be constant vectors w is a constant and r is vector

13:07

If A=[3 1; -1 2] express 2A^5-3A^4-A^2-4I as a linear polynomial in A.

20:15

Evaluate ∫F.dr, where F=(x-3y)i+(y-2x)j and C is the closed curve in the xy-plane,x=2cost,y=3sint

22:29

Find Curl[rx(axr)]

10:30

z^2(p^2+q^2+1)=c^2 Find the complete Integral of z^2(p^2+q^2+1)=c^2

10:54

If tan(A+iB)=x+it, prove that x^2+y^2+2xcot2A=1 and x^2+y^2-2ycoth2B=-1.

08:23

Find the principle and general value of log(-1+i).

20:27

If A=(2x^2y-x^4)i+(e^xy-ysinx)j+(x^2cosy)k,find ∂A/∂x,∂A/∂y,

07:32

If sin(x+iy)=A+iB,prove that A^2/cosh^2y+B^2/sinh^2y=1 and A^2/sin^2x-B^2/cos^2x=1.

02:52

separate into real and imaginary parts of cos(α+iβ)

06:13

If u=logtan(π/4+θ/2),prove that coshu=secθ.

07:51

Use De Moivre's theorem to solve equation x^7+x^4+x^3+1=0.

05:02

Ordinary Differential Equation (O.D.E.). Definition

02:40

Sn=(1+1/n)^n Test the convergence of the series

08:06

Let f(z)=u(x,y)+iv(x,y), u(x,y)=4xy-x^3+3xy^3 then find function f(z) by Milne Thomson Method

09:21

Find the Laplace transform of (1+cos2t) by the first principle.

00:58

Formulae for Integration of x^n,1/x,e^x,

06:07

Solve ∇(1/r)=-r/r^2=-r cap/r^3

16:02

If p greater than 0,then L{cosat}=p/p^2+a^2 and L{sinat}=a/p^2+a^2

12:27

Terminal Velocity of a body falling in air (Motion Under Resisting Medium) Dynamics

14:24

Geometrical meaning of Differential equation

35:55

Determine the maximum and minimum of x^3+y^3-63(x+y)+12xy .Find the maximum and minimum.

04:03

Introduction: Motion Under Resisting Medium (Dynamics)

17:31

Find the equivalent resistance,V1,V2.I1,I2,I3,I4,I5.

01:10:32

ईद मिलाद क्यों मानना चाहिए?

17:35

(D^2+1)y=cosecx. Linear Differential Equation of higher order with constant coefficients

22:53

Find all the bilinear (Mobius) transformations which transform the unit circle into unit circle.

08:50

Find the radius of curvature of the curve y=a/2(e^x/a+e^-x/a).

01:05

The generators of multiplicative group{1,w,w^2},where w is the cube root of unity.

09:37

Solve the following minimal assignment problem man 1 2 3 4Job

20:00

Trace the curve r=a+bcosθ. curve tracing in polar form

11:45

∫cos^2(2x).sin^4(4x)dx from x=0 to x=π/2

09:55

Find the asymptotes of the curve x^2(x-y)^2-a^2(x^2+y^2)=0

05:06

Prove that i^i=e^-(4n+1)π/2

08:04

Prove that tan(iloga-ib/a+ib)=2ab/a^2-b^2

04:23

Find the general value of log(-i).

02:55

Mathematical formulation of Assignment problem