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Applied Mathematics · 2023 · 5 marks

CBSE 2023 · Central · Set 4 · Q33

(a) Divide a number 15 into two parts such that the square of one part multiplied with the cube of the other part is maximum.

(a)
Divide a number $\displaystyle 15$ into two parts such that the square of one part multiplied with the cube of the other part is maximum.
OR
(b)
Find a point on the curve $\displaystyle \mathrm{y}^2=2 \mathrm{x}$ which is nearest to the point $\displaystyle (1, 4)$.

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