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A helicopter is flying along the curve y...

A helicopter is flying along the curve `y = x^2+2`. A solider is placed at the point (3,2). Find the nearest distance between the soldier and the helicopter.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. A farmer wants to construct a circular well and a square garden in his...

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  2. An open tank with a square base and vertical sides is to be constructe...

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  3. A helicopter is flying along the curve y = x^2+2. A solider is placed ...

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  4. Find the rate of change of the area of a circle with respect to its ra...

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  5. The total revenue in Rupees received from its sale of x units of a pro...

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  6. The interval in which y = x^2 e^-x is increasing is:

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  7. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  8. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  9. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

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  10. The approximate change in the volume of a cube of side x metres caused...

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  11. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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  12. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

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  13. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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  14. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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  15. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  16. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

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  17. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

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  18. The normal to the curve x^2 = 4y passing (1,2) is:

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  19. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

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  20. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

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