Determine the area between the curves \( y = x^2 \) and \( y = 4 - x^2 \) for the interval where they intersect.

12. Si una bola de nieve se derrite de tal modo que el área superficial disminuye a razón de \( 1 \mathrm{~cm}^{2} / \mathrm{min} \), calcule la rapidez con la que disminuye el diámetro cuando éste es 10 cm .

A car's velocity is given by the function \( v(t) = 5t^2 + 3 \). Calculate the distance traveled by the car from time \( t = 0 \) to \( t = 4 \).

\( \lim ( 2 + \frac { 2 } { n } ) ^ { m } \)

Determine the area between the curves \( y = x^2 \) and \( y = 4 - x^2 \) for the interval where they intersect.

b) \( F^{\prime}(x)=\lim _{h \rightarrow 0} \frac{\log _{2}(x+h)-\log _{2}(x)}{h} \)