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Barun Dasgupta
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4
Prove $(-a+b+c)(a-b+c)(a+b-c) \leq abc$, where $a, b$ and $c$ are positive real numbers
3
Evaluate :$\int \frac{\sin^{-1} \sqrt{x} -\cos^{-1} \sqrt{x}}{\sin^{-1} \sqrt{x} +\cos^{-1} \sqrt{x}} dx$
2
Fourier and half range series for $\sin x$
1
A (probably trivial) Induction Problem: $\sum_2^nk^{-2}\lt1$
1
How do I update position using velocity, acceleration and friction with variable time?
1
If $\log 0.318 = x$ and $\log 0.317 = y$, can $\log 0.319$ be expressed in terms of $x$ and $y$?
1
Calculating the points of tangency for two circles given a picture
1
Find the area enclosed by the loop $r=2(1-\sin\theta)\sqrt{\cos\theta}$
1
Equation of right circular cylinder with radius of the base as 2 units.
1
Find out the differential equation of the following families of curves.
1
Find out the differential equation of the following families of curves.
0
proving :$\frac{ab}{a^2+3b^2}+\frac{cb}{b^2+3c^2}+\frac{ac}{c^2+3a^2}\le\frac{3}{4}$.
0
Geometric explanation of centroid of triangle
0
Why doesn't $2\pi\int_{-1}^1\sqrt{1-x^2}dx$ give the surface area of a sphere of radius $1$?
0
Find the value of r in the following expression.
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