Sachin is creating a logo for the E-learning Hub Yudgam. The design involves the region bounded by y = x² and the horizontal line y = 9. What is the geometric area of this region in square units?
Sachin is creating a logo for the E-learning Hub Yudgam. The design involves the region bounded by y = x² and the horizontal line y = 9. What is the geometric area of this region in square units?
- A. 36
- B. 18
- C. 27
- D. 72
Answer: A) 36
Explanation: Intersect at x = −3, 3. Area = ∫(−3 to 3) (9 − x²) dx = 2 × [9x − x³/3] from 0 to 3 = 2 × (27 − 9) = 36 sq units.
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