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

Revision as of 22:12, 1 February 2016

Consider the region bounded by the following two functions:

y=2(-x^{2}+9)

and

y=0

a) Using the lower sum with three rectangles having equal width , approximate the area.

b) Using the upper sum with three rectangles having equal width, approximate the area.

c) Find the actual area of the region.

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
 <span class="exam">Consider the region bounded by the following two functions:
 ::::::::<span class="exam"> <math>y=2(-x^2+9)</math> and <math>y=0</math>
-::<span class="exam">a) Using the lower sum with three rectangles having equal width , approximate the area.
-::<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
+<span class="exam">a) Using the lower sum with three rectangles having equal width , approximate the area.
-::<span class="exam">c) Find the actual area of the region.
+<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
+<span class="exam">c) Find the actual area of the region.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"