Question 37 (ii) - Choice 1 - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 13, 2024 by Teachoo

Show that the function C(t) is strictly increasing in the interval (3, 4).

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Transcript

Show that the function 𝐶(𝑡) is strictly increasing in the interval (3, 4).Given. Equates the derivative C′(𝑡) to 0 and factorises C′(𝑡) as 3(3 + t)(6 − t). Writes that for t ϵ (3, 4), 3>0, (3+𝑡)>0 and (6+𝑡)>0 Therefore, C′(𝑡)>0 Concludes that C(𝑡) is strictly increasing in the interval (3, 4).

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