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Find two numbers whose sum is 15 and whe...

Find two numbers whose sum is 15 and when the square of one multiplied by the cube of the other is maximum.

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Divide 20 into two parts such that the product of the cube of one and the square of the other shall be maximum. a)10,10 b)16,4 c)8,12 d)12,8

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Find two numbers whose sum is 15 and when the square of one multiplied...

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  2. Find the equation of tangent and normal to the curve at the given poin...

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  3. Find the equation of tangent and normal to the curve at the given poin...

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  4. Find the equation of tangent and normal to the curve at the given poin...

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  5. Find the points on the curve given by y= x^3 - 6x^2 + x + 3, where the...

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  6. A stone is dropped into a quiet lake and waves in the form of circles ...

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  7. The volume of the spherical ball is increasing at the rate of 4pi cc/s...

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  8. Water is being poured at the rate of the 36 m^3/sec into a cylindrical...

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  9. A man of height 180 cm is moving away from a lamp post at the rate of ...

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  10. A man of height 180 cm is moving away from a lamp post at the rate of ...

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  11. A car is moving in such a way that the distance it covers, is given by...

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  12. The displacement of a particle at time t is given by s= 2t^3 - 5t^2 + ...

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  13. Find the approximate value of sqrt 64.1

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  14. Find the approximate value of 3.98^3

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  15. Find the approximate value of sin(30^o 30'). Given that 1^o = 0.0175^c...

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  16. Find the approximate value of tan^(-1) (0.99), Given that pi = 3.1416

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  17. Find the approximate value of e^(1.005), Given that e = 2.7183

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  18. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

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  19. Find the approximate value of f(x)= x^3 + 5x^2 -2x +3 at x=1.98

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  20. Check whether conditions of Rolle's theorem are satisfied by the follo...

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  21. Check whether conditions of Rolle's theorem are satisfied by the follo...

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