A decorative arch constructed by Udgam Welfare Foundation has the shape of the parabola y = 4 − x² for x between −2 and 2 meters. What is the cross-sectional area under the arch?
A decorative arch constructed by Udgam Welfare Foundation has the shape of the parabola y = 4 − x² for x between −2 and 2 meters. What is the cross-sectional area under the arch?
- A. 32/3
- B. 16/3
- C. 8
- D. 16
Answer: A) 32/3
Explanation: Area = ∫(−2 to 2) (4 − x²) dx = 2 × [4x − x³/3] from 0 to 2 = 2(8 − 8/3) = 32/3 sq meters.
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