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A man of height 2m walks at a uniform sp...

A man of height `2m` walks at a uniform speed of `5km/h` away from a lamp post which is `6m` high. Find the rate at which the length of his shadow increases.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
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  8. Consider f(x) = tan^-1(sqrt((1+sinx)/((1-sinx)))), x in (0,pi/2) A nor...

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  9. A wire of the length 2 units is cut into two parts which are bent resp...

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  10. The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...

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  11. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  12. Show that the function f given by, f(x) = x^3 - 3x^2 + 4x, x in R is i...

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  14. A man of height 2m walks at a uniform speed of 5km/h away from a lamp...

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  15. Find the intervals in which the function given by : f (x) = sin x + co...

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  16. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

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  17. Evaluate sqrt(401), using differentials.

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  18. It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains i...

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  19. Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...

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  20. Show that the height of the cylinder of maximum volume that can be ins...

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