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Two numbers x and y such that x + y=2 an...

Two numbers x and y such that x + y=2 and `x^3`y is maximum, are...... A) 1/3, 5/3 B) 3/2, 1/2 C) 1, 1 D) 6/5, 4/5

A

1/3, 5/3

B

3/2, 1/2

C

1,1

D

6/5, 4/5

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Function f(x) = x^2-3x+4 has minimum value at..... A) x= 0 B) x= -3/...

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  2. If the sum of the two numbers is 15 and the sum of their squares is mi...

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  3. Two numbers x and y such that x + y=2 and x^3y is maximum, are...... A...

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  4. A closed right circular cylinder of given total surface area, has maxi...

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  5. The function f(x) = x^x is minimum at x=...... A) e B) -e C) 1/e D)...

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  6. The equation of tangent to the curve y=x^2 +4x+ 1 at (-1, 1) is...... ...

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  7. Function f(x) = 2x^3-3x^2-12x +2 has minimum at the point…………

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  8. Find the approximate value of (4.01)^3

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  9. Show that the function f(x)= x^3+10x +7 is increasing for all x in R.

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  10. A particle moves according to the law s=t^3-6t^2+9t+ 15. Find the velo...

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  11. Divide the number 20 into two parts such that their product is maximum...

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  12. Find the equation of tangent to the curve at point sqrt x-sqrt y =1 at...

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  13. The length x of a rectangle is increasing at the rate of 3 m/sec and t...

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  14. Find the value of x such that f(x)=x^4-2x^3+1 is decreasing function.

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  15. Check the applicability of Rolle's theorem for f(x) = (x-1) (2x-3), x ...

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  16. The displacement x of a particle at time tis given by x= 160t-16t^2. S...

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  17. If V denotes the volume and S denotes the surface area of a sphere the...

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  18. Find the approximate value of e^1.002 given that e =2.7183.

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  19. If the line y=4x-5 touches the curve y^2 = ax^3+b at point (2, 3) then...

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  20. An aeroplane at an altitude of 1km is flying horizontally at 800 km/hr...

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