Question

The area bounded by the curves \( y = -x^2 + 3 \) and \( y = 0 \) is:

• A. \( \sqrt{3}+1 \)
• B. \( \sqrt{3} \)
• C. \( 4\sqrt{3} \)
• D. \( 5\sqrt{3} \)
• E. \( 6\sqrt{3} \)

Hint:

Area under a parabolic arch from one root to another can also be found using Archimedes' formula: Area = \( \frac{2}{3} \times \text{Base} \times \text{Height} \). Base = \( 2\sqrt{3} \), Height = \( 3 \). Area = \( \frac{2}{3} \cdot 2\sqrt{3} \cdot 3 = 4\sqrt{3} \).

Answer 1

The Correct Option is C