Home
Class 12
MATHS
Find the maximum value of 4sin^(2)x+3cos...

Find the maximum value of `4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2)`.

A

4

B

`3+sqrt2`

C

`4+sqrt2`

D

`2+sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|47 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2)dot

Find the maximum value of 4sin^2x+3cos^2x+sinx/2+cosx/2dot

Find the maximum & minimum values of 27^(cos2x). 81^(sin2x)

Find the minimum value of 2^("sin" x) + 2^("cos" x)

(i) Find maximum value of f(x)=|{:(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(sin^(2)x,cos^(2)x,1+4sin2x):}| . (ii) Let A,B and C be the angles of triangle such that Agt=Bgt=C. Find the minimum value of Delta where Delta=|{:(sin^(2)A,sinAcosA,cos^(2)A),(sin^(2) B,sinBcosB,cos^(2)B),(sin^(2)C,sinCcosC,cos^(2)C):}| .

(i) Find the maximum and minimum values of sin^(4)x + cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x + cos^(2008)x . (ii) Find the maximum value of cos (cos x).

The value of int(sin^(2)xcos^(2)x)/((sin^(3)x+cos^(3)x)^(2))dx , is

Find the least value of the expression 3sin^(2)x+4 cos^(2)x .

The maximum value of cos xsin x+sqrt(sin^(2)x+sin^(2)((pi)/(6))} is

Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Chapter Test
  1. The maximum value of the function f(x) given by f(x)=x(x-1)^2,0ltxlt...

    Text Solution

    |

  2. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

    Text Solution

    |

  3. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  4. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  5. Find the maximum value of 4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2...

    Text Solution

    |

  6. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  7. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  8. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  9. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

  10. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  11. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  12. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  13. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  14. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  15. On [1,e] the greatest value of x^2logex, is

    Text Solution

    |

  16. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  17. If f:R to R be defined by f(x) =2x + cosx, then f

    Text Solution

    |

  18. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  19. The maximum value of x^(1/x),x >0 is e^(1/e) (b) (1/e)^e (c) 1 (d) non...

    Text Solution

    |

  20. The perimeter of a sector is a constant. If its area is to be maximum,...

    Text Solution

    |