Complete the following exercises on the outcomes below. Explain anything that is not clear or obvious as you are showing how well you understand a topic. Outcome I2: Using Riemann Sums to Find Areas Use the limit process to find the area between y=4-x^(2), the x-axis, and the vertical lines x=0 and x=3. a) Find the width of the rectangles: , Delta

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Complete the following exercises on the outcomes below. Explain anything that is not clear or obvious as you are showing how well you understand a topic. Outcome I2: Using Riemann Sums to Find Areas Use the limit process to find the area between

y=4-x^(2)

, the

x

-axis, and the vertical lines

x=0

and

x=3

. a) Find the width of the rectangles:

,\Delta x=

b) Find the endpoints of the rectangles:

x_(i)=

c) Find the function at the endpoints:

f(x_(i))=

d) Using the summation notation find:

S_(n)=\sum_(i=1)^n f(x_(i))\Delta x

e) Find the value for the total area by letting the number of rectangles

n->\infty

:

\lim_(n->\infty )S_(n)

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