Question

1. On a laptop or desktop computer take a look at the following link https://www.geogebra.org/m/Q54eSw2n.In this applet you can estimate areas under curves with Riemann sums. We will use this

applet to estimate the area under the curve of y = 10 - 5x + x² on the interval from0 to 4. In the box enter 10 – 5x + x², set the left slider to 0 and the right slider to 4. Control the number of rectangles with the n slider. Use right endpoint rectangles (this should be checked by default) to estimate the area using: • 10 rectangles • 20 rectangles • 30 rectangles Make sure to record your data and include a screenshot or drawing. From these estimates what do you think the actual area under the curve is?

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