cc3a60…: “Except a noisy equation”

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Worked Out Examples Problem Videos

The following video may be helpful when trying to solve this example. Note that you may skip to the end of the video to get completion credit for this page if you don’t need to watch it.

Practice Problems: Riemann Approximation

1 :

Use $\sage {p1RecNum}$ rectangles to approximate the area under the curve of the function $f(x) = \sage {p1f1}$ from $x=\sage {p1start}$ to $x=\sage {p1end}$ using...

Right Endpoint Approximation Method: $\answer {\sage {p1ansREP}}$
Left Endpoint Approximation Method: $\answer {\sage {p1ansLEP}}$
Midpoint Approximation Method: $\answer {\sage {p1ansMP}}$

Remember to use the width and height of the rectangles to make your formula. In this case you should have a rectangle width of $\Delta x = \frac {(\text { end point }) - (\text { start point })}{\text {Number of Rectangles}} = \frac {(\sage {p1end})-(\sage {p1start})}{\sage {p1RecNum}} = \sage {p1width}$ .

Also don’t forget that Xronos doesn’t need you to simplify your answers here, so don’t worry about making everything “nice”. You will eventually need to simplify things in a later segment, so it’s a good idea to practice, but if you are struggling try entering in the unsimplified answer to see if you are getting the right idea but making an arithmetic error when simplifying.