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Applied Mathematics · 2026 · 5 marks

CBSE 2026 · Central · Set 4 · Q33

(a) Find the consumer’s surplus for the demand function p =25- x - x^2, where the prevailing market price p_0=19.

(a)
Find the consumer’s surplus for the demand function $\displaystyle \mathrm{p}=25-\mathrm{x}-\mathrm{x}^2$, where the prevailing market price $\displaystyle \mathrm{p}_0=19$.
OR
(b)
Solve the following initial value differential equation :
$\displaystyle (\mathrm{x}-1) \frac{\mathrm{dy}}{\mathrm{dx}}=2 \mathrm{xy}$, when $\displaystyle \mathrm{y}(2)=1$.

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