Home
Class 12
MATHS
Make a rough sketch of the graph of the ...

Make a rough sketch of the graph of the function `y=4-x^2,\ 0lt=xlt=2` and determine the area enclosed by the curve, the x-axis and the lines `x=0\ a n d\ x=2.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

  • BINARY OPERATIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

The area enclosed by the curve y^2 +x^4=x^2 is

Find the area bounded by the curve y=cos x ,\ x-axis and the ordinates x=0\ a n d\ x=2pidot

The area bound by the curve y=sec x, then x-axis and the lines x=0 and x=pi//4, is

Find the area enclosed by the curve y=-x^2 and straight line x+y+2=0.

Find the area bounded by the curve y^2=4a x and the lines y=2\ a n d\ y-axis.

Find the area enclosed the curve y=sin x and the X-axis between x=0 and x=pi .

Find the area enclosed the curve y=sin x and the X-axis between x=0 and x=pi .

Sketch the graph of y=sqrt(x)+1 "in"[0,4] and determine the area of the region enclosed by the curve, the axis of X and the lines x=0,x=4 .

Draw rough sketch of the graph of the function y=2\ sqrt(1-)x^2\ ,\ x in [0,1] and evaluate the area enclosed between the curve and the x-axis.

Find the area enclosed by the curve y=-x^(2) and the straight line x+y+2=0 .

RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area lying above the x-axis and under the parabola y=4x-x^2

    Text Solution

    |

  2. Draw a rough sketch to indicate the region bounded between the curve y...

    Text Solution

    |

  3. Make a rough sketch of the graph of the function y=4-x^2,\ 0lt=xlt=2 a...

    Text Solution

    |

  4. Using integration, find the area bounded by the lines x+2y=2, y−x=1 an...

    Text Solution

    |

  5. Find the area under the curve y=sqrt(6x+4)(above the x-axis) from x=0 ...

    Text Solution

    |

  6. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

    Text Solution

    |

  7. Draw a rough sketch of the graph of the curve x^2/4+y^2/9=1 and evalua...

    Text Solution

    |

  8. Sketch the region |(x , y):9x^2+4y^2=36| and find the area of the regi...

    Text Solution

    |

  9. Draw rough sketch of the graph of the function y=2\ sqrt(1-)x^2\ ,\ x ...

    Text Solution

    |

  10. Using integration, find the area of the region bounded by the line 2y=...

    Text Solution

    |

  11. Sketch the graph of y=|x-5|. Evaluate int0^1 |x-5|dx. What does this v...

    Text Solution

    |

  12. Sketch the graph of y=|x+3|. Evaluate int-6^0 |x+3|dx. What does the v...

    Text Solution

    |

  13. Sketch the graph y=|x+1|dot Evaluate int(-4)^2\ |x+1|dxdot What does t...

    Text Solution

    |

  14. The area of the region bounded by the curve y = x + 1 and the lines x=...

    Text Solution

    |

  15. Draw a rough sketch of the curve y=x/pi+2sin^2x and find the area betw...

    Text Solution

    |

  16. Draw a rough sketch of the curve y=x/pi + 2 sin^2 x, and find the area...

    Text Solution

    |

  17. Find the area bounded by the curve y=cos x ,\ x-axis and the ordinate...

    Text Solution

    |

  18. Show that the areas under the curves y=sinx\ a n d\ y=sin2x between x=...

    Text Solution

    |

  19. Compare the areas under the curves y=cos^2x\ a n d\ y=sin^2x between x...

    Text Solution

    |

  20. Find the area bounded by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1and th...

    Text Solution

    |