CUET Mathematics 2026 18th May Shift 2 PYQs

If the total cost function is given by $C(x)=\frac{x^3}{3}-2x^2+9x-70$ and the selling price per unit is ₹6, then for what value of $x$ will the profit be maximum?

For the function $f(x) = x^5 - 5x^4 + 5x^3 - 1$, which of the following are true?

(A) $f(x)$ has local minimum value equal to -28.

(B) $f(x)$ has point of inflection at $x=1$.

(C) $f(x)$ has point of local maxima at $x=1$.

(D) $f(x)$ has the local maximum value equal to 2.

Choose the correct answer from the options given below:

If $2x + y = 6$ then the maximum value of $x^2 y$ is :