Home
Class 12
MATHS
Find the approximate value of f(3. 02), ...

Find the approximate value of `f(3. 02),` upto `2` places of decimal, where `f(x)=3x^2+5x+3.`

Text Solution

AI Generated Solution

To find the approximate value of \( f(3.02) \) where \( f(x) = 3x^2 + 5x + 3 \), we can use the concept of linear approximation. Here are the steps to solve the problem: ### Step 1: Define the function We start with the function: \[ f(x) = 3x^2 + 5x + 3 \] ...
Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

Find the approximate value of f(5. 001) , where f(x)=x^3-7x^2+15 .

Using differentials, find the approximate value of (82)^(1/4) upto 3 places of decimal .

Find the approximate value of f(3.01) when y = f(x) = x^(2)+3x+1 .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Five cards are drawn one by one, with replacement, from a well shuf...

    Text Solution

    |

  2. Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is...

    Text Solution

    |

  3. Find the approximate value of f(3. 02), upto 2 places of decimal, whe...

    Text Solution

    |

  4. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

    Text Solution

    |

  5. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)

    Text Solution

    |

  6. Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...

    Text Solution

    |

  7. Solve the differential equation (dy)/(dx)+ycotx=2cosx , given that ...

    Text Solution

    |

  8. Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...

    Text Solution

    |

  9. Let f:W->W , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x ...

    Text Solution

    |

  10. Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...

    Text Solution

    |

  11. x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...

    Text Solution

    |

  12. If x^my^n=(x+y)^(m+n) prove that (dy)/(dx)=y/x

    Text Solution

    |

  13. Two schools P and Q want to award their selected students on the va...

    Text Solution

    |

  14. An insurance company insured 2000 scooter drivers, 4000 car drivers...

    Text Solution

    |

  15. Three cards are drawn at random (without replacement) from a well shuf...

    Text Solution

    |

  16. Evaluate : int(xcos^(-1)x)/(1-x^2)dx

    Text Solution

    |

  17. Evaluate :int(3x-2)sqrt(x^2+x+1) dx

    Text Solution

    |

  18. In answering a question on a multiple choice test, a student either kn...

    Text Solution

    |

  19. A manufacturer produces nuts and bolts. It takes 2 hours work on machi...

    Text Solution

    |

  20. Solve the differential equation : (xsin^2(y/x)-y)dx+xdy=0 given y=pi/4...

    Text Solution

    |