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IF slope of tangent to curve y=x^3 at a ...

IF slope of tangent to curve `y=x^3` at a point is equal to ordinate of point , then point is

A

(0,0)

B

(27,3)

C

(3,27)

D

none of these

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A DAS GUPTA-Application of dy/dx-Exercise
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  2. A point is moving along the curve y^(3)=27x. The interval in which the...

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  3. A particle is moving along the parabola y^2 = 12x at the uniform rate ...

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  4. A spherical balloon is being inflated so that itsvolume increases unif...

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  5. The time t of a complete oscillation of a simple pendulum of length l ...

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  6. The time t of a complete oscillation of a simple pendulum of length l ...

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  7. A spherical iceball is melting, such that the radius is decreasing at ...

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  8. Use differentials to obtain a resonable approximation to (8. 01)^(4/3)...

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  9. Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...

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  10. A spherical rain drop evaporates at a rate proportional to its surf...

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  11. The law of rectilinear motion of a body of mass 10kg is given by s = ...

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  12. The slope of the tangent to the curve r^2 = a^2 cos 2theta, where x = ...

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  13. A balloon is pumped at the rate of 10 cu cm/min. The rate of increase ...

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  14. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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  15. The angle between the curves y = sinx and y = cosx is

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  16. The point on the ellips 9x^(2) +16y^(2)=400 at which the abscissa and ...

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  17. IF slope of tangent to curve y=x^3 at a point is equal to ordinate of ...

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  18. Find the equations of the tangent and the normal to the curve x=3co...

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  19. Let f(x) be a differentiable function and f(x) > 0 for all x. Prove th...

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  20. Prove that the curve y=e^(|x|) cannot have a unique tangent line at th...

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