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A point P is moving on the curve y = 2 x...

A point P is moving on the curve `y = 2 x^(2)` . The x coordinate of P is increasing at the rate of 4 units per second . Find the rate at which y coordinate is incerasing when the point is at (2,8).

Text Solution

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The correct Answer is:
32 units/sec
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Knowledge Check

  • A point is moving on y=4-2x^2. The x-coordinate of the point is decreasing at the rate of 5 units per second. Then the rate at which y coordinate of the point is changing when the point is at (1, 2), is

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    B
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    D
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  • A point is moving on y=4-2x^2 . The x -coordinates of the point is decereasing at the rate of 5 units per second. The nthe rate at which y coordinates of the point is changing when the point is (1, 2) is

    A
    5 unit/sec
    B
    10 unit/sec
    C
    15 unit/sec
    D
    20 unit/sec
  • A point is moving on y = 4 - 2x^(2) . The x-coordinate of the point is decreasint at the rate of 5 units/sec. Then the rate at which y - coordinate of the point is changing when the point is at (1,2) is

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