The Udgam Welfare Foundation has a parabolic community garden plot defined by the boundary y² = 16x. A straight fence is built along x = 4. What is the enclosed area of the garden?
The Udgam Welfare Foundation has a parabolic community garden plot defined by the boundary y² = 16x. A straight fence is built along x = 4. What is the enclosed area of the garden?
- A. 128/3
- B. 64/3
- C. 32/3
- D. 256/3
Answer: A) 128/3
Explanation: Area = 2 × ∫(0 to 4) √(16x) dx = 2 × 4 × ∫(0 to 4) x^(1/2) dx = 8 × [2/3 x^(3/2)] = 8 × (16/3) = 128/3 sq units.
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