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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.