A company's revenue comes in at a rate of \( R ( t ) = 10000 e ^ { 0.07 t } \) from the beginning of \( 2008 \) to the beginning \( 2019 \) where \( t = 0\) corresponds with \( 2008 \) . Find the total value at the beginning of \( 2013 \) .
\(\$ 15,709.20 \)
\( \$ 59,866.79 \)
\( \$ 165,680.89 \)
\( \$ 78,546.37\)
option A is correct
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
