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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Evaluate intln(x^2+x+2)dx
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- int0^pi((xtanx)/(secx+tanx))dx
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- Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).
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- Differentiate cos^(-1)(sinx) w.r.t.x.
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- int(cot xdx)/(ln sin x) = ?
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- How many independent constants are there in the general equation of a ...
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- What is the range of the signum function?
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- If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicul...
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- Between tan 1 and tan^(-1)1, which is greater?
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- Answer the following: In which inverval does the determinant A =[[1...
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- What is AB – BA if A, B and AB are all symmetric matrices .
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- If y =(cosx+sinx)/cosx, then what is dy/dx ?
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- Write the order of the differential equation whose general solution is...
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- Consider the binary operation * on the set {1,2,3,4,5} defined by a*...
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- Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...
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- Find the feasible solution region of the following system of inequatio...
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- Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).
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- Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...
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- Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...
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- Without expanding prove abs((bc, a, a^2),(ca, b, b^2),(ab, c, c^2))=ab...
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