Next, find the horizontal asymptote, if any. This is done by determining the ratio of the degree of the polynomial in the numerator to the degree of the \[ g(x)=\frac{x^{2}-2 x-35}{x^{2}-36} \] degree of numerator degree of denominator

Evaluate the \( \lim _{x \rightarrow-2}\left(\frac{x^{3}+6 x^{2}+8 x}{x+2}\right) \) Solution:

Set up the definite integral required to find the area of the region between the graph of \( y=13-x^{2} \) and \( y=24 x+148 \) over the interval \( -5 \leq x \leq 3 \).

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.)

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 \( x=0 \).