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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
- If x^yy^x=1, find dy/dx.
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- Find the derivative of tan^-1 (sqrt(1-x^2)/x)with respect to cos^-1x .
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- Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.
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- If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.
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- If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)
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- If u=f((x^2+y^2)/xy) prove that x(partialu)/(partialv)+y(partialu)/(pa...
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- If f(x+y)=f(x).f(y) forall x,y and f(5)=2 and f'(0)=3, then show that ...
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- If (fog) (1)=3, g(1) = 2, g(1) = 1,then show that f(2)=3.
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- If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)=2, then find underset(xtoa)li...
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- Find the rate of change of the area of circle w.r.t.r when r=8 cm.
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- The side of a sqart is increasing at the rate of 0.1 cm//sec and at th...
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- A particle moves along a straight line according to the law s=t^3-3t^...
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- Show that the function f(x)=1/x is decreasing in (0,oo).
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- Find the intervals where the function f(x)=x^3-12x+10 is increasing.
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- Find the slope of the normal to the curve y=xe^-x at x=2.
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- Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...
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- Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...
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- Find the points on the curve 9y^2=x^2, where normal to the curve makes...
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- If y=x^4-12 and if x changes from 2 to 1.99, find the approximate erro...
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- Using differential find the value of sqrt(16.2).
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