Difference between revisions of "009B Sample Final 3, Problem 1"

Latest revision as of 17:39, 2 December 2017

Divide the interval $[-1,1]$ into four subintervals of equal length ${\frac {1}{2}}$ and compute the left-endpoint Riemann sum of $y=1-x^{2}.$

@@ Line 1: / Line 1: @@
 <span class="exam">Divide the interval &nbsp;<math style="vertical-align: -5px">[-1,1]</math>&nbsp; into four subintervals of equal length &nbsp;<math style="vertical-align: -14px">\frac{1}{2}</math>&nbsp; and compute the left-endpoint Riemann sum of &nbsp;<math style="vertical-align: -5px">y=1-x^2.</math>
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<hr>
-!Foundations: &nbsp;
+[[009B Sample Final 3, Problem 1 Solution|'''<u>Solution</u>''']]
-|-
-|The height of each rectangle in the left-hand Riemann sum is given by choosing the left endpoint of the interval.
-|}
-'''Solution:'''
+[[009B Sample Final 3, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
-|-
-|
-|-
-|
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
-|-
-|
-|-
-|
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Final Answer: &nbsp;
-|-
-|
-|}
 [[009B_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]