Home
Class 12
MATHS
The length x of a rectangle is increasin...

The length x of a rectangle is increasing at the rate of 3 cm/sec. and the width y is increasing at the rate of 2 cm/sec. If x=10 cm and y=6 cm, then the rate of change of its area is

A

14

B

12

C

8

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s AIEEE/JEE Main Paper|65 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

The length of a rectangle is decreasing at the rate of 2 cm/sec and the width is increasing at the rate of 2 cm/sec. When x=10 cm and y=6 cm , find the rate of change of (i) the perimeter (ii) the area of the rectangle.

The length of x of a rectangle is decreasing at the rate of 3cms^(-1) and the widty y is increasing at the rate of 3cms^(-1) when x=10cm and y=6cm then the rate of change of the area of rectangle is

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle

The length x of a rectangle is decreasing at the rate of 5cm/minute and the width y is increasing at the rate of 4cm/minute. When x=8cm and y=6, find the rate of change of (a) the perimeter,(b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x" "=10 cm and y" "=" "6 cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5cm/minute and the width y is increasing at the rate of 4cm/minute.~ Whenx=8cm and y=6, find the rates of change of (i) the perimeter (ii) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5c(m)/(m) and the width y is increasing at the rate of 4c(m)/(m) When x=8cm and y=6cm, find the rate of change of (a) the perimeter and (b) the area of the rectangle.

The length x of rectangle is decreasing at a rate of 3 cm//min and width y is increasing at a rate of 2 cm//min When x =10 cm and y=6 cm. Find the rate of change of(i) the perimeter (ii) the area of rectangle.

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. The smallest value of M such that |x^2-3x+2| leq M for all x in [1,5/2...

    Text Solution

    |

  2. The point in the interval [0, pi] for which the curve y =(1//2)x and y...

    Text Solution

    |

  3. The points at which the tangents to the curve ax^(2) + 2hxy + by^(2) =...

    Text Solution

    |

  4. If the point on y = xtanalpha -(ax^2)/(32cos^2alpha),(alpha > 0) where...

    Text Solution

    |

  5. Let f(x) = {(|x-1|+ a",",x le 1),(2x + 3",",x gt 1):} . If f(x) has lo...

    Text Solution

    |

  6. Let g(x) = int(0)^(x) f(t) dt and f(x) satisfies the equation f(x +y) ...

    Text Solution

    |

  7. The area of the triangle formed by the positive x-axis with the norma...

    Text Solution

    |

  8. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  9. Angle at which the circle x^2+y^2=16 can be seen from (8, 0) is

    Text Solution

    |

  10. The critical points of the function f(x) = (x +2)^(2//3) (2x-1) are

    Text Solution

    |

  11. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

  12. A rectangle with perimeter 32 cm has greatest area if its length is

    Text Solution

    |

  13. The greatest vaue of the function f(x) = cot^(-1) x + (1//2) log x ...

    Text Solution

    |

  14. A particle is moving along the parabola y^(2) = 4(x+2). As it passes t...

    Text Solution

    |

  15. The perimeter of a rectangle is fixed at 24cm. If the length l of the ...

    Text Solution

    |

  16. The rate at which fluid level inside vertical cylindrical tank of radi...

    Text Solution

    |

  17. The length x of a rectangle is increasing at the rate of 3 cm/sec. and...

    Text Solution

    |

  18. if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...

    Text Solution

    |

  19. A tangent drawn to the curve y=f(x) at P(x,y) cuts the x-axis and y-ax...

    Text Solution

    |

  20. If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c.then in (-infty, i...

    Text Solution

    |