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  3. 6.3 3a.  find an approximation of the area o

6.3 3a.  Find an approximation of the area of the region R under the graph of the...

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Basic Math

6.3 3a.  Find an approximation of the area of theregion R under the graph of the function f on theinterval [−1, 2]. Use n = 6 subintervals. Choose therepresentative points to be the left endpoints of thesubintervals.  f(x) = 6 −x2   

_________square units

b. Find an approximation of the area of the region Runder the graph of the function f on the interval [1, 3].Use n = 4 subintervals. Choose the representativepoints to be the right endpoints of thesubintervals.  f(x) =6/x

_________ square units

c. Find an approximation of the area of the region Runder the graph of the function f on the interval [0, 3].Use n = 5 subintervals. Choose the representative pointsto be the midpoints of the subintervals. (Round your answer to onedecimal place.) f(x) =3ex

___________square units

Answer & Explanation Solved by verified expert
3.5 Ratings (564 Votes)
63 3aTo approximate the area of the region under the graph ofon the interval 12 by using 6 subintervalsWhereGiven a 1 b 2 and n 6Thus Now divide the interval 12 into 6 subinterval with width12Nowfind the value of the function at left end    See Answer
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