Home
Class 12
MATHS
A cubic function of x has maximum 10 and...

A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and x = 2 respectively. Find the function.

A

`1/5 x^3+3/(10)x^2=(18)/5x+(19)/(10)`

B

`1/(15)x^3+3/(10)x^2-(18)/5x+(16)/(100)`

C

`ax^2+bx+c=0`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The function which has neither maximum nor minimum at x=0 is

A quadratic function in x has the value 9 when x = 1 and has a maximum value 10 when x = 2. Find the function.

The function f(x) =x/2+2/x has a local minimum at

x^2 -2x +10 has minimum at x=

The function f(x)=sin^2xcos^3x attains a maximum when x =

If a quadratic function in x has the value 9 when x=1 and has maximum value 10 when x=2 then the function is

The function y=x^4-6x^2+8x+11 has a minimum at x=

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  2. If a quadratic function in x has the value 9 when x=1 and has maximum ...

    Text Solution

    |

  3. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  4. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  5. If the product of two positive numbers is 400 then the minimum value o...

    Text Solution

    |

  6. The sum of two positive numbers is 12. The numbers so that the sum of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |