\( e ^ { 4 + i } \)

b) \( f(x)=-2 \sqrt[4]{x} \) a. \( \frac{2}{3} x^{\frac{-1}{3}} \) b. \( \frac{2}{3} x^{2} \) c. \( -2 \cdot \frac{1}{4} x^{\frac{-3}{4}} \)

Set up the definite integral required to find the area of the region between the graph of \( y=16-x^{2} \) and \( y=-2 x-47 \) over the interval \( -3 \leq x \leq 7 \).

A factory selling cell phones has a marginal cost function \( C(x)=0.01 x^{2}-3 x+229 \), where \( x \) represents the number of cell phones, and a marginal revenue function given by \( R(x)=429-2 x \). Find the area between the graphs of these curves and \( x=0 \).

d) \( f(x)=-\frac{3}{s^{2}}-\frac{4}{s^{4}} \) a. \( 6 s^{-3}+16 s^{-5} \) b. \( 16 x^{4}+2 x \)

Find the area of the region between the curve and the \( x \)-axis. \( f(x)=4-x^{2} \), from -6 to 6 The area is \( \square \) square units. (Type an integer or a simplified fraction.)