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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CBSE Class 12 Sample Paper for 2024 Boards
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CBSE Class 12 Sample Paper for 2024 Boards
Last updated at Aug. 14, 2023 by Teachoo
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Given y = 4š„ā1/2 š„^2 Let Rate of growth be represented by g(x) = šš¦/šš„ To find increase or decrease , we will calculate gā(x) g(x) = šš¦/šš„ = 4 ā x gā(x) = š/šš„ (šš¦/šš„) = (š(4 ā š„))/šš„ = ā1 < 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„ā1/2 š„^2 y = 4(2)ā1/2 Ć 2^2 y = 8 ā 2 y = 6 cm