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If x+y=3 then show that the maximum val...

If `x+y=3` then show that the maximum value of `x^(2) y` is 4.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-PART-1 (APPLICATIONS OF DERIVATIVE) (Solve the following 3 Marks)
  1. Find the equation of tangent and normal to the curve y =3x^(2) -x +1 ...

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  2. Find the values of x , such that f(x) = 2x^(3) - 15x^(2) + 36x +1 is ...

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  3. Find the values of x such that f(x) = (x-2)/(x+1), x ne -1 is decreas...

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  4. Show that the function f(x) = (x-2)/(x+1), x ne -1 is increasing.

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

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  6. If the demand function is D=50 - 3p -p^(2) . Find the elasticity of d...

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  7. If the demand function is D=(p+6)/(p-3) Find the elasticity of demand ...

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  8. The total cost of manufacturing x articles C = 47x + 300x^(2) -x^(4). ...

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  9. Determine the maximum and minimum values of the function f(x) = 2x^(3)...

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  10. A rod of 108m long bent to form a rectangle. Find it’s dimensions when...

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  11. Find MPC, MPS, APC and APS , if the expenditure Ec of a person with in...

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  12. The manufacturing company produces x items at the total cost of Rs 180...

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  13. If x+y=3 then show that the maximum value of x^(2) y is 4.

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  14. Find the equation of tangent to the curve x^(2) + y^(2) =8, where the ...

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  15. Find the equation of normal to the curve y=sqrt(x-3) which is perpend...

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  16. Find the equation of tangent to the curve ?y=x^(2) + 4x at the point w...

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