Home
Class 11
PHYSICS
A curve is represented by y=sinx. If x i...

A curve is represented by `y=sinx`. If x is changed from `pi/3 to pi/3+pi/100` find approximately the change in y.

Text Solution

Verified by Experts

The correct Answer is:
0.0157

`y=sinx`, So, y=/_\y=sin (x+/_\x)
/_\y=sin(x+/_\x)-sinx
sin(pi/3+pi/100)-sin pi/3
=0.0157
Promotional Banner

Topper's Solved these Questions

  • PHYSICS AND MATHEMATICS

    HC VERMA ENGLISH|Exercise Question for short Answer|14 Videos
  • PHYSICS AND MATHEMATICS

    HC VERMA ENGLISH|Exercise Objective 2|5 Videos
  • NEWTON'S LAWS OF MOTION

    HC VERMA ENGLISH|Exercise Questions for short Answer|17 Videos
  • REST AND MOTION : KINEMATICS

    HC VERMA ENGLISH|Exercise Question for short Answer|13 Videos

Similar Questions

Explore conceptually related problems

If y=sinx and x changes from pi//2 to 22//14 , what is the approximate change in y ?

If y=sinxa n dx change from pi/2to(22)/(14), what is the approximate change in y ?

The area bounded by y=sinx and 2x=pi y is

A wave is represented by the equation y= A sin ( 10 pi x + 15 pi t + (pi)/(6)) wher x is in metre and t in second. The expression represents

A wave is represented by the equation : y = A sin(10 pi x + 15 pi t + pi//3) where, x is in metre and t is in second. The expression represents.

Area bounded by curve y=sinx , whit x-axis, when x varies from 0 to (pi)/(2) is :-

Draw a rough sketch of the curves y=sinx and y=cosx as x varies from 0 to pi/2 . Find the area of the region enclosed by the curves and the y-axis.

Find the area between the curve y=xsinx and x-axis from x=0 to x=2pi .

If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate change in y ? Also, find the changed value of ydot

If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate change in y ? Also, find the changed value of ydot

HC VERMA ENGLISH-PHYSICS AND MATHEMATICS-Exercises
  1. If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB.

    Text Solution

    |

  2. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

    Text Solution

    |

  3. A particle moves on a given straight line with a constant speed v. At ...

    Text Solution

    |

  4. The force on a charged particle due to electric and magnetic fields is...

    Text Solution

    |

  5. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

    Text Solution

    |

  6. A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi...

    Text Solution

    |

  7. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

    Text Solution

    |

  8. The electric current in a discharging R-C circuit is given by i=i0e^(-...

    Text Solution

    |

  9. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the orid...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the area bounded by the curve y=e^(-x) the X-axis and the Y-axis.

    Text Solution

    |

  12. A rod of length L is placed along the X-axis between x=0 and x=L. The ...

    Text Solution

    |

  13. The momentum p of a particle changes with the t according to the relat...

    Text Solution

    |

  14. The changes in a function y and the independent variable x are related...

    Text Solution

    |

  15. Write the number of significant digits in a 1001, b. 100.1, c.100.10 d...

    Text Solution

    |

  16. A metre scale is graduated at every millimetre. How many significant d...

    Text Solution

    |

  17. Round the following numbers to 2 significant digits. A. 3472, b. 84.16...

    Text Solution

    |

  18. The length and the radius of a cylinder measured with a slide cllipers...

    Text Solution

    |

  19. The thicknes of a glass plate is measured to be 2.17 and 2.17 mm and ...

    Text Solution

    |

  20. The length of the string of a simple pendulum is measured with a metre...

    Text Solution

    |