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Will anyone please explain me the wavy curve method of solving inequations?? please ...

Solve for x. 1+ \frac{1}{2\sin(30^0+ x)}= \frac{\sin(\frac{x}{2})}{\sin(\frac{x}{2}+ 60^0)}+ \frac{\sqrt{3}}{2\sin(\frac{x}{2}+ 60^0)} ...

\hspace{-16}\mathbf{\lim_{x\rightarrow 0}\left[\frac{(1+4x)^{\frac{1}{x}}}{e^4}\right]^{\frac{1}{x}}} ...

\hspace{-16}$Prove That\\\\ $\mathbf{(1)::\log_{2}{3}>\log_{3}{4}}$\\\\ $\mathbf{(2)::\log_{2}{3}>\log_{3}{11}}$\\\\ $\mathbf{(3)::\log_{3}{5}>\log_{2}{3}}$\\\\ without Using properties of Logarithms ...

How was the paper of KVPY - 2011. Supposed cutoff? ...

q) The reaction given below, involving the gases is observed to be first order with rate constant 7.48 x 10-3 sec-1. Calculate the time required for the total pressure in the system containing A at an initial pressure of 0.1 ...

\{a_n\} is a sequence of real numbers such that |a_n- a_{n+1}| \le 1 \ \forall \ n \in \mathbb{N} Define b_n = \frac{a_1+a_2+...+a_n}{n} Prove that |b_n-b_{n+1}| \le \frac{1}{2} ...

Q. If y=\frac{1}{1+x^{n-m}+x^{p-m}}+\frac{1}{1+x^{m-n}+x^{p-n}}+\frac{1}{1+x^{m-p}+x^{n-p}} , then \frac{dy}{dx} at e^{m^{n^{p}}} \text{(a) }e^{mnp} \text{(b) }e^{\frac{mn}{p}} \text{(c) }e^{\frac{np}{m}} \text{(d) } none ...

Consider the cubic equation given by x3+ax2+bx+c = 0 , where a, b, c are real numbers. Which of the following is correct : A. If a2-2b < 0, then the equation has one real and two imaginary roots B. If a2-2b ≥ 0, then the ...

Can anyone give me the correct solution of KVPY SX 2011 and the cutoffs for KVPY SX 2010 ...

Can we accelerate a charged particle by a magnetic field? ...

formation of olefins from alkalis and alkyl halides--- what kind of a reaction is it?? is it sn1, sn2, e1 or e2? ...

Q> Find the value of 'a' for which ax2 + (a - 3)x + 1 < 0 for at aleast one positive real x. ...

1) why is it so that many endothermic reactions that are not spontaneous at room temperature become spontaneous at high temperature? ...

calculate the final molarity of : 200 ml 1 M HCl +100ml .5M H2SO4 ...

Q1) Why do we say ΔS = Qrev/T Q2) While finding direction of spontaneity for a reaction, we say ΔSsurroundings = Qsurrounding/T = -Qsystem/T ΔSsurroundings = -ΔHsystem/T ΔSuniverse = ΔSsystem- ΔHsystem/T and further we ...

\hspace{-16}$Which one is Greater $\mathbf{2011^{2012}}$ OR $\mathbf{2012^{2011}}$ ...

wich is more acidic water or phenol nd why?// ...

COnsider a normal pendulum. It is moving under gravity. It has a hollow bob. water leaks out of the bob at a constant rate so . How will T be affected the right answer is that time period will increase and then decreaseMy ans ...

Let tn be the no. of triangles with integral sides out of the side lengths {1,2,3,....n} . Then t20-t19 = ? ...

The condition that x4 + ax3 + bx2 + cx + d is a perfect square, is (A) c2 = ad (B) c2 = ad2 (C) c2 = a2d2 (D) c2 = a2d ???????????????? ...

find the factors of the no. 123456789 such that they have the minimum difference between them. ...

\hspace{-16}$If $\mathbf{x\;,y>0}$ and $\mathbf{xy+x+y=3}\;$.Then find Min. of \\\\\\ $\mathbf{P=\frac{x^2}{y+1}+\frac{y^2}{x+1}+\frac{xy}{x+y}}$ ...

\hspace{-16}$If $\mathbf{f(x)=x^3+x^2-4x+1}$ and If $\mathbf{\alpha}$ be a root of $\mathbf{f(x)=0}.\;$ Then Prove\\\\ that $\mathbf{\alpha^2+\alpha-3}$ is also root of $\mathbf{f(x)=0}$ ...

if the equation ax2 + bx + c = 0 does not have 2 distinct real roots and a + b > c, then prove that f(x) ≥ 0, for all x E R. ...

$\textbf{Solve system of equations:}\\\\ $\mathbf{x+y-z=7}$\\\\ $\mathbf{x^2+y^2-z^2=37}$\\\\ $\mathbf{x^3+y^3-z^3=1}$ ...

\hspace{-16}$If $\mathbf{\alpha\in \mathbb{R}}\;,$ Then Prove That\\\\\\ $\mathbf{\sqrt{17}\leq\sqrt{\cos^2 \alpha+4\cos \alpha +6}+\sqrt{\cos^2 \alpha-2\cos \alpha +3}\leq \sqrt{2}+\sqrt{11}}$ ...

if x2 + ax + 3/x2 + x + a takes all real values for possible real values of x then prove that 4a3 + 39 < 0. ...

\hspace{-16}\mathbf{\displaystyle \sum_{k=0}^{1004} \frac{2008!}{k!\times k!\times (1004-k)!\times (1004-k)!}} ...