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

50.1K

Verified Solution

Question

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
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students