CBSE Class 12 Math 2022 Term I Solved Paper

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Case Study
In a residential society comprising of 100 houses, there were 60 children between the ages of 10−15 years. They were inspired by their teachers to start composting to ensure that biodegradable waste is recycled. For this purpose, instead of each child doing it for only his/her house, children convinced the Residents welfare association to do it as a society initiative. For this they identified a square area in the local park. Local authorities charged amount of ₹50 per square metre for space so that there is no misuse of the space and Resident welfare association takes it seriously. Association hired a labourer for digging out 250m3 and he charged ₹400X (depth) )2. Association will like to have minimum cost.

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Question : 48
Total: 50
‌
d2C
dh2
is given by
Explanation: Since,
∴‌‌
dC
dh
=‌
−12500
h2
+800h

∴‌‌
d2C
dh2
=‌
−(−2)×12500
h3
+800

⇒‌
d2C
dh2
=‌
25000
h3
+800
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