(Solved): (a) Use six rectangles to find estimates of each type for the area under the given graph of \( f \ ...

(a) Use six rectangles to find estimates of each type for the area under the given graph of \( f \), the \( x \)-axis, and the lines \( x=0 \) and \( x=24 \). (i) \( L_{6} \) (sample points are left endpoints) \[ L_{6}= \] (ii) \( R_{6} \) (sample points are right endpoints) \[ R_{6}= \] (iii) \( M_{6} \) (sample points are midpoints) \[ M_{6}= \] (b) Is \( L_{6} \) an underestimate or overestimate of the true area? overestimate underestimate (c) Is \( R_{6} \) an underestimate or overestimate of the true area? overestimate underestimate (d) Which of the numbers \( L_{6}, R_{6^{\prime}} \) or \( M_{6} \) gives the best estimate of the true area? \[ \begin{array}{l} R_{6} \\ L_{6} \\ M_{6} \end{array} \]