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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...
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- Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...
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- Find Integrating factor of:(x logx)dy/dx+y=2logx
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- Integrate int(x+7)/(x^2+8x)dx
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- Solve dy/dx+y/x=xy^2.
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- Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12
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- Prove that the measure of the angle between two main diagonals of a cu...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Show that the vector area of the triangle whosse vertices have positio...
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- passing through the point (-1,3,2) perpendicular to the planes x+2y+...
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- If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).
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- Show that sin^(P) theta cos^(q) theta attains a maximum value, when th...
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- Show that the sum of the intercepts on the coordinate axes of any tang...
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- Prove by vector method that the mid-point of the hypotentise of a righ...
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- Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...
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- Let f be defined by f(x)=4x + 3 for all x""inR. Show that it is biject...
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- If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...
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- Prove that int0^(pi/2)lnSinxdx=-pi/2ln2
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- Evaluate intfrac[dx][cosx(1+2sinx)]
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