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0
votes
1
answer
Show that the plane $2x2y+z+12=0$ touches the sphere $x^2+y^2+z^22x4y+2z+3=0$. Find the point of contact.
asked
Nov 11, 2017
by
randomisation
(
1,920
points)
pyqs
2017
analyticalgeometry
spheres
0
votes
1
answer
Reduce the equation to $xyp^2  (x^2+y^21)p+xy = 0$ Clairaut's form.
asked
Nov 12, 2017
by
randomisation
(
1,920
points)
pyqs
2017
differentialequations
clairaut
0
votes
0
answers
Prove that every power series represents an analytic function inside its circle of convergence
asked
Aug 12, 2017
by
randomisation
(
1,920
points)
pyqs
2016
complexanalysis
0
votes
1
answer
A fixed wire is in the shape of the cardioid $r = a(1+cos\theta)$, the initial line being the downward vertical.
asked
Dec 23, 2017
by
randomisation
(
1,920
points)
pyqs
2017
cse
statics
0
votes
0
answers
Find the supremum and the infimum of $\frac{x}{\sin x}$ on the interval $\left (0, \frac{\pi}{2} \right ]$.
asked
Nov 25, 2017
by
randomisation
(
1,920
points)
pyqs
2017
modernalgebra
0
votes
1
answer
Reduce the equation to standard form and determine the nature of the conicoid: x2+y2+z2yzzxxy3x6y9z+21=0.
asked
Jan 7, 2018
by
big boss
(
190
points)
pyqs
2017
3d
analyticalgeometry
0
votes
2
answers
Find the equation of the tangent plane at the point $(1,1,1)$ to the conicoid $3x^2y^2=2z$.
asked
Nov 11, 2017
by
randomisation
(
1,920
points)
pyqs
2017
analyticalgeometry
conicoid
0
votes
1
answer
Solve $ x = py  p^2 $
asked
Aug 17, 2017
by
randomisation
(
1,920
points)
calculus
differentialequations
pqys
2015
0
votes
1
answer
Find the locus of the centre of the sphere which passes through the origin $O$ and $A,B,C$
asked
Nov 11, 2017
by
randomisation
(
1,920
points)
pyqs
2017
analyticalgeometry
spheres
0
votes
1
answer
Show that similar matrices have same characteristic polynomial.
asked
Nov 11, 2017
by
randomisation
(
1,920
points)
pyqs
2017
matrices
0
votes
1
answer
Integrate the function $f(x,y) = xy(x^2+y^2)$ over the domain $R : { 3 <= x^2y^2<3, 1 <=xy <=4 }$
asked
Jan 5, 2018
by
big boss
(
190
points)
calculus
pyqs
2017
integration
0
votes
0
answers
Determine all entire functions $f(z)$ such that $0$ is a removable singularity of $f\left( \frac{1}{z} \right)$.
asked
Nov 25, 2017
by
randomisation
(
1,920
points)
pyqs
2017
complexanalysis
0
votes
1
answer
Find the initial basic feasible solution of the following transportation problem using Vogel's approximation method.
asked
Dec 21, 2017
by
randomisation
(
1,920
points)
pyqs
2017
cse
linearprogramming
transportationproblem
0
votes
1
answer
Value of f(100) of the following function
asked
Aug 17, 2017
by
randomisation
(
1,920
points)
series
function
realanalysis
0
votes
1
answer
Evaluate: $ I = \int_{0}^{1} \sqrt[3]{x log\left(\frac{1}{x}\right)} dx $
asked
Aug 21, 2017
by
randomisation
(
1,920
points)
pyqs
2016
calculus
integration
improperintegration
0
votes
0
answers
Using contour integral method, prove that $\int_{0}^{\infty} \frac{x \sin mx}{a^2 + x^2} dx = \frac{\pi}{2} e^{ma}$.
asked
Nov 25, 2017
by
randomisation
(
1,920
points)
pyqs
2017
calculus
integration
contourintegration
0
votes
1
answer
Convergence of $\prod_{n=0}^{\infty} \left ( 1 + \frac{1}{x^{2n}} \right )$
asked
Sep 9, 2017
by
randomisation
(
1,920
points)
convergence
pyqs
0
votes
1
answer
Find a basis and dimension of the image of $A$ and those of the kernel $A$.
asked
Dec 22, 2017
by
randomisation
(
1,920
points)
pyqs
2017
cse
linearalgebra
matrices
0
votes
0
answers
Prove that distinct nonzero eigenvectors of a matrix are linearly independent.
asked
Dec 22, 2017
by
randomisation
(
1,920
points)
pyqs
2017
cse
linearalgebra
matrices
0
votes
1
answer
How much bacteria after 4 weeks if they double in 1 week?
asked
Nov 12, 2017
by
randomisation
(
1,920
points)
pyqs
2017
differentialequations
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