3. \( K \) is the point \( ( 0,8 ) \) and \( L \) is the point \( ( 4,0 ) . \)
a) Calculate the gradient of line \( K L \) .
(b) Find the equation of a line that parallel to \( K L \) and passes through point \( ( 5,6 )\)
c)Line \( J K \) is perpendicular to the line \( K L \) which passes through point \( K . \) Find the equation of the line \( J K \) .
\(- 2\)
\(y= - 2x+ 16\)
\(y= \frac{1}{2} x+ 8\)
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. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
