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Use differential to approximate `sqrt(101)dot`

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Show that for the curve b y^2=(x+a)^3, the square of the sub-tangent v...

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  2. Show that at any point on the hyperbola x y=c^2, the subtangent var...

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  3. Use differential to approximate sqrt(101)dot

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  4. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

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  5. On the curve x^3=12 y , find the interval of values of x for which the...

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  6. If water is poured into an inverted hollow cone whose semi-vertical ...

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  7. A man 1.6 m high walks at the rate of 30 metre per minute away from...

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  8. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

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  9. A particle moves along the curve 6y=x^3+2 . Find the points on the cur...

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  10. An open Can of oil is accidently dropped into a lake; assume the oi...

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  11. A circular ink blot grows at the rate of 2 cm^2 per second. Find the ...

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  12. If in a triangle A B C , the side c and the angle C remain constant, w...

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  13. Using differentials, find the approximate value of sqrt(0. 037), co...

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  14. Using differentials, find the approximate value of (82)^(1/4) upto ...

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  15. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

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  16. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

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  17. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

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  18. If the sum of the squares of the intercepts on the axes cut off by ...

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  19. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

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  20. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

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