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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
- Find the differential equation whose solution is y = a cos 2x + b sin ...
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- Find the value of p for which the vectors 3hat(i) + 2hat(j) + 9hat(k) ...
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- Write the vector equation ofthe line given by (x - 5)/3 = (y + 4)/7 = ...
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- If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...
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- Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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- Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.
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- Using elementary operation find the inverse of [(2,3),(5,7)]
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- Construct a 2 xx 3 matrix whose element are given by a(ij) = i + j.
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- Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...
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- Find the value of k, so that the function defined by f(x)={(kx+1", if...
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- Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Evaluate: int(log sinx )/(tan x)dx.
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- Evaluate int(dx)/(x(x^(5)+3)).
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Determine the area the of the region between the curves y=cos x and y=...
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- Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x
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- Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca...
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- Show by vector method that the line joining the points (1, 4, 2) and (...
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