Use six rectanges to find estimates of each type for the area under the given graph of f from x = 0 to x = 12.       (i) L6 (sample points are left endpoints)      (ii) R6 (sample points are right endpoints)     (iii) M6 (sample points are midpoints) (b) Is L6 an underestimate or overestimate of the true area?  (c) Is R6 an underestimate or overestimate of the true area?  (d) Which of the numbers L6 , R6 , or M6 gives the best estimate? Explain

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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(a) Use six rectanges to find estimates of each type for the area under the given graph of f from x = 0 to x = 12. 

     (i) L6 (sample points are left endpoints)

     (ii) R6 (sample points are right endpoints)

    (iii) M6 (sample points are midpoints)

(b) Is L6 an underestimate or overestimate of the true area? 

(c) Is R6 an underestimate or overestimate of the true area? 

(d) Which of the numbers L6 , R6 , or M6 gives the best estimate? Explain. 

*please use handwriting not typing, i understand it better that way. thank you*

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