Graph the Function $f ( x )$ Over the Given Interval $\sum _ { k = 1 } ^ { 4 } f \left( q _ { k } \right) \Delta x _ { k }$

question 107

Multiple Choice

Graph the function $f ( x )$ over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum $\sum _ { k = 1 } ^ { 4 } f \left( q _ { k } \right) \Delta x _ { k }$ , using the indicated point in the kth subinterval for $c _ { k }$ .
- $$\sum _ { \mathrm { k } = 1 } ^ { 8 } \mathrm { k } ^ { 3 }$$

• A) 204
• B) 648
• C) 512
• D) 1296

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