Question

unctions, each over the interval x = 0 to x = 6: f(x) = x2 +...

unctions, each over the interval x = 0 to x = 6:

  1. f(x) = x2 + 1
  2. f(x) = 12 − 2x
  3. f(x) = 36 − x2
  4. f(x) = 2x + 1

Methods:

R: Right Riemann sum

Number of Rectangles: 1,

Create a report on the application you selected. Include the problem statement (function, interval, method, number of rectangles), mathematical and verbal work of finding the approximate area under the curve, a graph of the function/rectangles created at the Desmos site (Links to an external site.)Links to an external site. (https://www.desmos.com/calculator/tgyr2ezjq), mathematical work to find the exact answer, and concluding remarks. Concluding remarks should include whether your estimate is a lower bound or upper bound on the exact area and why and any other interesting features for the particular problem you selected.

To get an image of your graph at the Desmos site, you must first save it as an image file to your own computer. You can then include the image in your post or Word file. Note the drop down menu and the image feature available at Desmos. Your write-up should include proper mathematical notation (use an equation editor) and justification for all work and answers, both mathematical and verbal.

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