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\hspace{-16}$If $\bf{\mathbb{S} = \sum_{r=4}^{1000000}\frac{1}{r^{\frac{1}{3}}}}.$ Then value of $\bf{\left[\mathbb{S}\right] = }$\\\\\\ where $\bf{[x] = }$ Greatest Integer function ...
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\hspace{-16}$If $\bf{\mathbb{S} = \sum_{r=4}^{1000000}\frac{1}{r^{\frac{1}{3}}}}.$ Then value of $\bf{\left[\mathbb{S}\right] = }$\\\\\\ where $\bf{[x] = }$ Greatest Integer function ...
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Integrate this: \frac{x^{3}sin^{-1}x}{\sqrt{1-x^{2}}} ...
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If each ai>0, then the shortest distance between the point(0,-3) and the curve y=1+a1x2 + a2x4 + ...........................................+anx2n is a) 1 b) 2 c) 3 d) 4 ...
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*Image* ...
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*Image* ...
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A satellite is revolving around the Earth in a circular orbit with radius of 2R, where R is radius of earth.If suddenly,its velocity becomes zero in the orbit due to collision with some inter-stellar object(like a satellite), ...
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Um if i am not misinfomred by the over enthusiastic people around me isnt it almost finalsied that jee is being replaced by aptitude test... more infomration please. And if its true then i am surely for it . i beleive as i al ...
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1. A= \begin{bmatrix} 1& 0 &1 \\ 0 & 1 &1 \\ 0& -2 & 4 \end{bmatrix} 6A-1=A2+cA+dI,then c,d = [a nice method will do,without working a lot] 2. Assertion and Reason: Consider the system of equations: x-2y+3z=-1;x-3y+4z=1;-x+y- ...
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\hspace{-16}$\textbf{Solve System of Equations.}\\\\ $\begin{matrix} \bold{x^4+y^2-xy^3-\frac{9}{8}x=0} & \\\\ \bold{y^4+x^2-x^3y-\frac{9}{8}y=0} & \end{matrix}\right. ...
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http://students.iitk.ac.in/takneek/media/nuq2m.pdf ...
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$Minimum value of $\mathbf{\frac{\tan\left(x+\frac{\pi}{6}\right)}{\tan x}}$ ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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Prove this : \lim _{n\rightarrow \infty } \frac{|\sin \theta|+|\sin 2\theta|+...|\sin n\theta|}{n}>0 I must admit that I've its soln. and I'd not have been able to solve it by myself otherwise. But I liked the sum, so flic ...
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1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...
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1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...
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1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ...
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Use the mean value theorem to prove that |sinx-siny| ≤|x-y| for all real numbers x,y ...
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Let f(x) be a continuous function such that f(x) does not vanish for all real values of x if *Image* then f(x) (for all x ε R) is (a) an even function (b) an odd function (c) a periodic function (d) None of these Ans: (d) ...
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sin^3x+sin^2x+sinx=1 ...
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Find the charge on 2μF capacitor in steady state : *Image* ...
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Q: Let f : [0,1] → R is a continuous function such that \int_{0}^{1}{f(x) dx=0} . Prove that there is some ' c ' ε (0,1) such that \int_{0}^{c}{f(x) dx} = f(c) ...
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Q: Let f : [0,1] → R is a continuous function such that \int_{0}^{1}{f(x) dx=0} . Prove that there is some ' c ' ε (0,1) such that \int_{0}^{c}{f(x) dx} = f(c) ...
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Q: Let f : [0,1] → R is a continuous function such that \int_{0}^{1}{f(x) dx=0} . Prove that there is some ' c ' ε (0,1) such that \int_{0}^{c}{f(x) dx} = f(c) ...
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1> if y represents mass and x represents velocity then dimensional formula for d3y/dx3 will be? 2> in the eqn y=Asin(ax+bt),if x and y are in meter,t is in second,hen unit of 'a' is 1 /meter true or false? ...
