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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
pyqs
2017
analyticalgeometry
spheres
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
pyqs
2017
analyticalgeometry
spheres
0
votes
1
answer
Find the shortest distance between the skew lines.
asked
Nov 11, 2017
pyqs
2017
analyticalgeometry
lines
0
votes
1
answer
Find the equation of the tangent plane at the point $(1,1,1)$ to the conicoid $3x^2y^2=2z$.
asked
Nov 11, 2017
pyqs
2017
analyticalgeometry
conicoid
0
votes
1
answer
Show that similar matrices have same characteristic polynomial.
asked
Nov 11, 2017
pyqs
2017
matrices
0
votes
1
answer
Find a nonsingular matrix $P$ such that $P^{1}AP$ is a diagonal matrix for given A.
asked
Nov 11, 2017
pyqs
2017
matrices
0
votes
1
answer
Convergence of $\prod_{n=0}^{\infty} \left ( 1 + \frac{1}{x^{2n}} \right )$
asked
Sep 9, 2017
convergence
pyqs
0
votes
1
answer
Is $ v(x,y) = x^3  3xy^2 + 2y $ a harmonic function?
asked
Aug 26, 2017
pyqs
2016
complexanalysis
0
votes
1
answer
Evaluate: $ I = \int_{0}^{1} \sqrt[3]{x log\left(\frac{1}{x}\right)} dx $
asked
Aug 21, 2017
pyqs
2016
calculus
integration
improperintegration
0
votes
1
answer
Test the convergence of $\int_{4}^{\infty} \frac{5 + sin(x)}{x}\ dx$
asked
Aug 19, 2017
convergence
integration
realanalysis
0
votes
1
answer
Value of f(100) of the following function
asked
Aug 17, 2017
series
function
realanalysis
0
votes
1
answer
Solve $ x = py  p^2 $
asked
Aug 17, 2017
calculus
differentialequations
pqys
2015
0
votes
0
answers
Prove that every power series represents an analytic function inside its circle of convergence
asked
Aug 12, 2017
pyqs
2016
complexanalysis
0
votes
2
answers
How to integrate x^2 with respect to x?
asked
Aug 9, 2017
integration
calculus
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