ujjwal
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 Ujjwal Mishra
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Questions Asked

ujjwal:
Group Title
\[\lim_{n\to\infty }\sqrt[n]{1^2+2^2+...+n^2}\]
 updated 4 months ago
 7 replies
 1 Medal
Mathematics

ujjwal:
Group Title
\[r=\sqrt{x^2+y^2+z^2}\]
\[u=\frac{1}{r}f(rct)\]
where c is constant
…
 updated 10 months ago
 13 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Determine whether \(a_n\) is converging or diverging
\(a_1\)=2
\(a_{n+1}\)=3\(a_n\)2
 updated one year ago
 6 replies
 2 Medals
Mathematics

ujjwal:
Group Title
The tension in rope AB is T. The tension in rope CP is S. The accelerations of A, B and C are respectively a,b, and c.
Find T and c.
Figur…
 updated one year ago
 54 replies
 1 Medal
Mathematics

ujjwal:
Group Title
find the remainder of each of the following polynomials divided by \(x^2+1\)
1)\((1+x)^4\)
2)\((1x)^{32}\)
 updated one year ago
 38 replies
 1 Medal
Mathematics

ujjwal:
Group Title
solve the inequality
\(x^2(5a^2a+15)x+6a^4+30a^2+54<0\)
where a is constant
 updated one year ago
 27 replies
 2 Medals
Mathematics

ujjwal:
Group Title
let c be a natural number such that \(2\leq c\leq 8\). If simultaneous equations
\(2x1+cy=0\)
\(x^2+2xyy=0\)
…
 updated one year ago
 4 replies
 1 Medal
Mathematics

ujjwal:
Group Title
Factorize
\(x^46x^2+1\)
 updated one year ago
 22 replies
 5 Medals
Mathematics

ujjwal:
Group Title
p and q are odd numbers, prove that the quadratic equation
\(x^2+px+q=0\) has
1) no integer solution
…
 updated one year ago
 32 replies
 4 Medals
Mathematics

ujjwal:
Group Title
let f(x) be a quadratic polynomial. if, f(0),f(1),f(1)\(\in\mathbb{z}\), then show that f(n)\(\in\mathbb{z}\) for all \(n\in\mathbb{z}\)
 updated one year ago
 39 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find all \(a\in\mathbb{R}\) such that
\((a+2)x^2(a+1)x+a=0\)
has at least one integer solution
 updated one year ago
 11 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find a necessary and sufficient condition on \(a\in \mathbb{R}\) for a quadratic equation
\(x^2+2(a+3)xa+3=0\)
to have roots such that…
 updated one year ago
 9 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Factorize \(2a^35a^210a+2\)
 updated one year ago
 21 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Find all combinations of a,b,c and d which makes the following equality an identity
\((xa)^2(xb)^2=x^42x^33x^2+cx+d\) where a<b
 updated one year ago
 10 replies
 1 Medal
Mathematics

ujjwal:
Group Title
Let \(f(x)\) be a polynomial in x with integral coefficients. Show, if \(a\equiv b (\mod m)\), then \(f(a)\equiv f(b)(\mod m)\)
 updated one year ago
 14 replies
 2 Medals
Mathematics

ujjwal:
Group Title
Show that \(2450^n1370^n1150^n250^n\) is divisible by 1980 for all \(n\epsilon N\)
 updated one year ago
 22 replies
 2 Medals
Mathematics

ujjwal:
Group Title
prove \(\tan ^{1}x>\frac{x}{1+\frac{1}{3}x^2}\) where x>0
 updated one year ago
 17 replies
 3 Medals
Mathematics

ujjwal:
Group Title
Find equivalent polynomial equation of \(\sqrt{a^24ab+4b^2}\)
 updated one year ago
 4 replies
 1 Medal
Mathematics

ujjwal:
Group Title
A(0,1), B(2,0), C(2,2) and P(a,0) where 0<a<2 are four given points. Q id the intersection of AB and PC. Find coordinates of Q.
 updated one year ago
 5 replies
 1 Medal
Mathematics

ujjwal:
Group Title
The coefficient of friction between blocks A and B and the horizontal surfaces are \(\mu_s\)=0.24 and \(\mu_k\)=0.20 . Knowing that \(m_A\)…
 updated 2 years ago
 46 replies
 1 Medal
Mathematics

ujjwal:
Group Title
How would you relate Diffraction and Heisenberg's Uncertainty Principle? Is Diffraction just a special case of Heisenberg's Uncertainty Prin…
 updated 2 years ago
 27 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Is there any means by which i can decrease the frequency of alternating current delivered to my house?
 updated 2 years ago
 7 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
What is there inside a neon light screw driver tester and how does it work?
I mean this thing: http://www.hunterswholesalers.co.uk/images/…
 updated 2 years ago
 23 replies
 6 Medals
Mathematics

ujjwal:
Group Title
How does heat reflective glass reflect only heat and pass light?
I read that it is done by simply reflecting ultraviolet and infrared rays…
 updated 2 years ago
 13 replies
 2 Medals
Mathematics

ujjwal:
Group Title
The universe is expanding. Does it mean that the distance between sun and earth is increasing?
If yes, will sunlight, at some point of time…
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics

ujjwal:
Group Title
Is there a proof for \[\frac{dx}{dx}=\frac{x}{\sqrt x^2}\] and what do we do when x is negative?
 updated 2 years ago
 10 replies
 4 Medals
Mathematics

ujjwal:
Group Title
The center of ellipse\[\frac{(x+y2)^2}{9}+\frac{(xy)^2}{16}=1\]is:
 updated 2 years ago
 16 replies
 3 Medals
Mathematics

ujjwal:
Group Title
The sum of infinite series \(13x+5x^27x^3+....to \infty\) when x<1 is:
a)\[\frac{1x}{1+x^2}\]
b)\[\frac{1+x}{1x^2}\]
…
 updated 2 years ago
 18 replies
 3 Medals
Mathematics

ujjwal:
Group Title
The st line x=my+c will be normal to \(x^2=4ay\) if:
a)\(c=2amam^3\)
b)\(c=\frac{a}{m}\)
…
 updated 2 years ago
 14 replies
 2 Medals
Mathematics

ujjwal:
Group Title
What is the difference between gravitational lensing and refraction? Difference in terms of their effects or the way they affect light.. Of …
 updated 2 years ago
 3 replies
 No Medals Yet
Mathematics

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