A fruit company delivers its fruit in two types of boxes: large and small. A delivery of \( 2 \) large boxes and \( 12 \) small boxes has a total weight of \( 223 \) kilograms. A delivery of \( 5 \) large boxes and \( 3 \) small boxes has a total weight of \( 139 \) kilograms. How much does each type of box weigh?
Weight of each large box: \( \prod \) kilogram(s)
Weight of each small box: \( \square \) kilogram(s)
large = 18.5 kg
small = 15.5 kg
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. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
