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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 3-(MATHEMATICS)
- underset(x to 0)(lim) (5^(x) + 4^(x) - 2^(x) -1)/(5x) is equal to
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- f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...
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- (d)/(dx) [ 2 cot^(-1) ((sqrt(1+ sin x) + sqrt(1-sin x))/(sqrt(1+ sin x...
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- If x^(logx ) = y^(x) and (dy)/(dx) = (2y log x+ k log y)/(x^(2)), then...
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- The value of differentiation of tan^(-1)x with respect to tan^(-1) ((s...
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- The sub normals at any point of the curve y = x^(n) is constant. Then ...
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- The percentage increase in the volume of the cube when its side increa...
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- The period T and length l are increasing at the same rate is T = 2pi s...
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- int (dt)/((e^(t) + e^(-t))^(2)) =
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- int e^(t) ((t)/(1+t^2))dt=
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- int 9^(9^(9^(x))) dx is equal to
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- int (dx)/(cos (x -a) cos (x-b) )= (1)/(p) log q, then (p, q)=
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- Area of the region bounded by the curves y = sqrt(5 - x^(2)) and y = |...
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- underset ( x to oo) (lim) underset(r=1)overset(n-1) (sum) sqrt((n+r)/(...
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- If bar(a) = 3 overset(^)(i) + 2 overset(^)(j), bar(b) = 2 overset(^)(i...
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- The projection of the vector overset(^)(i) - 2 overset(^)(j) + overse...
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- If theta is the angle between the vectors overset(^)(i) + overset(^)(j...
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- The non-zero vectors bar(a) , bar(b) , bar(c ) holds | (bar(a) .bar(b...
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- If bar(a) = overset(^)(i) + overset(^)(j) - overset(^)(k), bar(b) = 2 ...
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- The value of (sec x + tan x -1)/(tan x - sec x +1), if cosec 2x =2 is
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