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Question 38 (ii) - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Aug. 14, 2023 by

Does the rate of growth of the plant increase or decrease in the first three days? What will be the height of the plant after 2 days?

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Given y = 4š‘„āˆ’1/2 š‘„^2 Let Rate of growth be represented by g(x) = š‘‘š‘¦/š‘‘š‘„ To find increase or decrease , we will calculate gā€™(x) g(x) = š‘‘š‘¦/š‘‘š‘„ = 4 āˆ’ x gā€™(x) = š‘‘/š‘‘š‘„ (š‘‘š‘¦/š‘‘š‘„) = (š‘‘(4 āˆ’ š‘„))/š‘‘š‘„ = āˆ’1 < 0 Since gā€™(x) < 0 Thus, g(x) is decreasing So, the growth of the plant decreases for the first three days. Finding Height of plant after 2 days Putting x = 2 in value of y y = 4š‘„āˆ’1/2 š‘„^2 y = 4(2)āˆ’1/2 Ɨ 2^2 y = 8 āˆ’ 2 y = 6 cm

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