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COMEDK2020MathematicsArea Under Curves

The area bounded by the curve x=4-y² and the Y -axis is

Options

  1. A32 sq units
  2. B16 sq units
  3. C16 3 sq units
  4. D32 3 sq units

Correct answer

D. 32 3 sq units

Step-by-step solution

We have, x=4-y² y²=-(x-4) aligned Required area &=2 ₀⁴ y d x=2 ₀⁴ 4-x d x &=2 [ -(4-x)^ 3 / 2 3 / 2 ]₀⁴ &= -4 3 [(4-4)^ 3 / 2 -(4-0)^ 3 / 2 ] &= -4 3 (-8)= 32 3 sq units aligned

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