Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksoptimization
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #6
A trapezium area model is A(x)=(10+x)√(100−x²) cm² for 0≤x≤10. Find its maximum.
✅ Step-by-Step Solution
Final Answer: Option (C): 75√3 cm²
- A′=−2(x+10)(x−5)/√(100−x²). It is positive before 5 and negative afterwards; A(5)=75√3 exceeds the endpoint values.
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