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If a,b,c,d are in Gp and ax=by=cz=du,then x,y,z,y are in -- A. AP B. GP C. HP D. none of these ...
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Q1. \int \frac{(x^2-1)dx}{(x^4+3x^2+1)tan^-^1\frac{x^2+1}{x}} ...
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find the iintegration of 1/(cos3x- sin3x) wrt x ...
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what is the integration of 2x/(x^2+1)???????? ...
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Let I_n=\int \frac{dx}{(a+\sin{x})^n} Find the relations between I_n,I_{n+1}\ \text{and}\ I_{n+2} ...
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Q1. Let f(x) = a[x] + belxl + clxl2, where a,b,c are real constants. If f(x) is differentiable at x=0, then: (a) b=0, c=0 a=R (b) a=c=0, b=R (c) a=b=0, c=R (d) None of these ...
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Q1. T/F tan\frac{\pi }{9}+tan\frac{5\pi }{18} is the AM of tan\frac{\pi }{9} and tan\frac{7\pi }{18} Q2. If a_{n} = \int_{0}^{\pi }{\frac{sin(2n-1)x}{sinx}}dx then which of the following is true about the progression a1,a2,.. ...
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∫2sinx/(3+sin2x) dx = ????? ...
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1. ∫cos2x/ (1+tanx) dx 2. ∫[(x/e)x+(e/x)x] lnx dx ...
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A row contains 1000 integers The second row is formed by writing under each integer, the number of times it occurs in the first row The third row is now constructed by writing under each number in the 2nd row, the number of t ...
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∫ x+ x2+2 dx = ? ...
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Not for >12th Solve the equation: \frac{x^3}{x^3 + 27+9x(x+3)} = \frac{x-3}{x+6} ...
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For how many positive integers n is (1999+ 1/2)n + (2000+ 1/2 )n an integer? ...
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Prove that for all n\ge1 , 1+5^n+5^{2n}+5^{3n}+5^{4n} is composite ...
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Really Simple Question which i cudn't do [2] If out of a group of students, atleast 90 % have chosen Sports, atleast 80 % chose Music and atleast 70 % chose Studies, then the % of students who have chosen all three is atleast ...
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What will be the graph of [y]=|sin x|+|cos x|?? ...
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g(x)=1/2(x^102)-23(x^101)-45/2(x^2)+1035x.....then find g(46) and g(45/2)???????????? ...
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{\color{red} 17^{14}>31^{11}-\mathit{Prove...}} ...
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Two positive integers are chosen. The sum is revealed to logician A, and the sum of squares is revealed to logician B. Both A and B are given this information and the information contained in this sentence. The conversation b ...
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*Image* ...
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x^3+y^4=7 Prove that the eqn has no integer solns. ...
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f(x)=mod(modx-1) find f'(x) ...
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f(x)=1/lnx then no. of points at which function is discontinuous are?? ...
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prove that sinx+2x≥[3x(1+x)]/∩ for xε(0,Π/2) ...
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Tell me, how to proceed with this one - Solve the inequality : log5(x2-4x+11)2-log11(x2-4x-11)3/ 2-5x-3x2 ≥0 ...
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what is a point function ...
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If f is a real-valued differentiable function satisfying |f(x) - f(y)| ≤ (x-y)2,x,y belong to R and f(0)=0,then f(1) equals a.1 b.2 c.0 d.-1 ...
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if f(x) be twice differentiable function and f''(0)=2 then find limit of [2f(x)-3f(x)+f(x)]/x^2 ...
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THEOREMS ON PRIME NUMBERS ...
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what is limit of (1+ax)^1/xhen x → ∞ ???????????? 0 ...