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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If y=sin^(-1)(x^3), then find that dy/dx
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- If y=e^(x^(e^(x^(e^x)))), then find dy/dx.
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- Evaluate int0^2abs(x^2+2x-3)dx
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- Find the area of the region bounded by the curve y=sin^(3)x and the st...
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- intdx/(1+tanx)
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- Evaluate inte^(tan-1)x((1+x+x^2)/(1+x^2))dx.
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- Find the solution of the following differential equations: (4x+6y+5)dx...
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- Let veca,vecb,vecc be three vectors such that veca+vecb+vecc=vec0 and ...
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- Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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- Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Show that the sum of the intercepts on the coordinate axes of any tang...
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- Find frac[dy][dx] if y=([sinx+x^2]/[cot2x]).
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- Integrate intfrac[(sin^2x+cos2x)][cos^2x)]dx
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- Solve the following differential equations (x+tany)dy= sin 2y ""dx
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
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