\(1 0 \) A water tank currently contains \( 275 \) gallons of water. The amount of water in the tank will decrease at a constant rate of \( 15 \) gallons per week.
Which function can be used to find \( t \) , the total number of gallons of water in the tank after
\( w \) weeks?
F \( t = 15 w - 275 \)
G \( t = - 15 w + 275 \)
H \( t = 275 w - 15\)
\(J t = - 275 w + 15\)
10. G) t=-15w+275
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. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
