List of top Engineering Mathematics Questions on Maxima & Minima

Let \( R \) be a region in the first quadrant of the \( xy \)-plane enclosed by a closed curve \( C \) considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region \( R \)?
Consider the function \( f(x) = -x^2 + 10x + 100 \). The minimum value of the function in the interval \( [5, 10] \) is \(\underline{\hspace{2cm}}\).