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MODERN PUBLICATION-MOCK TEST-1-EXERCISE
- Evaluate int(pi//6)^(pi//3) ((1)/(1+sqrttanx dx
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- Solve the following differential equations x dy + ( y - x^3) dx =0
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- Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...
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- tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...
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- Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)
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- Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]], th...
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- Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...
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- The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...
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- Evalute : int(5x+3)/sqrt(x^2+4x+10)dx
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- By using the properties of definite integrals, evaluate the integral: ...
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- Solve: dy/dx+(2x)/(x^2+1)y=1/(x^2+1)^2, y(0)=0.
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- Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...
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- Find the equation of the plane passing through the intersection of the...
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- A problem in Mathematics is given the three students whose chances of ...
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- A problem in Mathematics is given the three students whose chances of ...
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- If A and B are subsets of the universal set U, then show that A⊂ A∪ B...
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- Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...
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- If X= {1, 2, 3}, if n represents any member of X, write the following ...
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- Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...
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- Simplify : [veca-vecb,vecb-vecc,vecc-veca].
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