(1)) Painted Pots lets customers choose and paint their own pottery. The store has teapcts in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost \( \$ 18 \) . She also painted \( 4 \) small teacups to go with her teapot. Rebecca spent a total of \( \$ 42 \) on pottery.
\( 18 c + 4 = 42 \)
\( 4 c + 18 = 42 \)
\( 4 ( c + 18 ) = 42 \)
\( 18 ( c + 4 ) = 42 \)
\( 5\)
4c+18=42
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. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
