Name: 
 

04-04-Riemann Sums



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Let f (x) = mc001-1.jpg on the interval [1,2]. Let the interval be divided into 4 equal subintervals. Find the value of the Riemann summc001-2.jpg if each mc001-3.jpg is the left endpoint of its subinterval.
a.
mc001-4.jpg
d.
mc001-7.jpg
b.
mc001-5.jpg
e.
None of These Choices
c.
mc001-6.jpg
 

 2. 

Let  mc002-1.jpg on the interval [1,2] and let the interval be divided into 10 equal subintervals.
Which is the correct stated Riemann sum in  the form mc002-2.jpg if each mc002-3.jpg is the right endpoint of its 10 equal subintervals?
a.
mc002-4.jpg
d.
mc002-7.jpg
b.
mc002-5.jpg
e.
mc002-8.jpg
c.
mc002-6.jpg
f.
mc002-9.jpg
 

 3. 

Given the definition, mc003-1.jpg  and that mc003-2.jpg, mc003-3.jpg  

Consider the definite integral:

mc003-4.jpg

Which of the below shows the appropriate mc003-5.jpg to use in evaluating the Riemann Sum?
a.
mc003-6.jpg
d.
mc003-9.jpg
b.
mc003-7.jpg
e.
mc003-10.jpg
c.
mc003-8.jpg
f.
mc003-11.jpg
 

 4. 

Given the definition, mc004-1.jpg  and that mc004-2.jpgmc004-3.jpg  

Consider the definite integral:

mc004-4.jpg

Which of the below shows the appropriate right hand endpoints,  mc004-5.jpg, to use in evaluating the Riemann Sum?
a.
mc004-6.jpg
d.
mc004-9.jpg
b.
mc004-7.jpg
e.
mc004-10.jpg
c.
mc004-8.jpg
f.
mc004-11.jpg
 

 5. 

Consider the definition, mc005-1.jpg  and that mc005-2.jpg, mc005-3.jpg  , and given the Riemann Sum:


mc005-4.jpg


Which of the below shows the correct equivalent Riemann Sum Definition?
a.
mc005-5.jpg
d.
mc005-8.jpg
b.
mc005-6.jpg
e.
mc005-9.jpg
c.
mc005-7.jpg
f.
None of these choices
 



 
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