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The sum of three numbers is 30 . The fir...

The sum of three numbers is 30 . The first plus three times the second plus four times the third add up to 80. the numbers so that the product of all three is as large as possible are

A

12,10,10

B

10,10,10

C

12,12,12

D

10,12,12

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The sum of two positive numbers is 12. The numbers so that the sum of ...

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  2. The difference of two positive numbers is 10 . If the square of the gr...

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  3. The sum of three numbers is 30 . The first plus three times the second...

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  4. Divide 64 into two parts such that the sum of the cubes of two parts i...

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  5. The maximum value of xy subject to x+y =7 is

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  6. The sum of two numbers is 20 . If the product of the square of one num...

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  7. The ratio of the two parts of a number 'a' such that the product of th...

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  8. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

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  9. The difference of a number and its square is maximum, then the number ...

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  10. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

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  11. The value of a so that the sum of the squares of roots of the equation...

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  12. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

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  13. The focal distance of the point (4,2) on the parabola x^(2)=8y is

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  14. The equation of the normal to the curve x^2=4y at (2,1) is

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  15. The point on the curve y=x^2 which is nearest to (3,0) is

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

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  17. The minimum distance from the origin to a point on the curve x^(2//3) ...

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  18. The shortest distance from (-6,0) to x^2-y^2+16=0 is

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  19. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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  20. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

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