Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and...

Need help with all. ThanksUsing GeoGebra, experiment and select a non-linear polynomial that is above the x-axis<br>for a domain of your choice. Screenshot a picture of your chosen graph with the equation<br>of the function and domain on top. Example with a horizontal line:<br>/() 4, 1<<4<br>-2<br>-1 0<br>3.<br>4.<br>6.<br>10<br>-1<br>-2<br>-3<br>Reflect your function in the x-axis and add it to your graph in the chosen domain. Sketch<br>the outline of the solid created when the function revolves around the x-axis.<br>a.<br>The volume of the solid can be calculated by adding up the area of each disc formed by<br>rotating f (x). Write down the expression of the area of any one disc at x.<br>b.<br>I Assume the thickness of the discs are infinitely thin and denoted by dx, add up all the discs<br>using integration to derive the general volume formula whenf (x) is rotated around the x-axis<br>in your chosen domain.<br>C.<br>Calculate the volume of revolution of the solid formed using your function in your<br>chosen domain. Show all calculations.<br>

Extracted text: Using GeoGebra, experiment and select a non-linear polynomial that is above the x-axis for a domain of your choice. Screenshot a picture of your chosen graph with the equation of the function and domain on top. Example with a horizontal line: /() 4, 1<4 -2="" -1="" 0="" 3.="" 4.="" 6.="" 10="" -1="" -2="" -3="" reflect="" your="" function="" in="" the="" x-axis="" and="" add="" it="" to="" your="" graph="" in="" the="" chosen="" domain.="" sketch="" the="" outline="" of="" the="" solid="" created="" when="" the="" function="" revolves="" around="" the="" x-axis.="" a.="" the="" volume="" of="" the="" solid="" can="" be="" calculated="" by="" adding="" up="" the="" area="" of="" each="" disc="" formed="" by="" rotating="" f="" (x).="" write="" down="" the="" expression="" of="" the="" area="" of="" any="" one="" disc="" at="" x.="" b.="" i="" assume="" the="" thickness="" of="" the="" discs="" are="" infinitely="" thin="" and="" denoted="" by="" dx,="" add="" up="" all="" the="" discs="" using="" integration="" to="" derive="" the="" general="" volume="" formula="" whenf="" (x)="" is="" rotated="" around="" the="" x-axis="" in="" your="" chosen="" domain.="" c.="" calculate="" the="" volume="" of="" revolution="" of="" the="" solid="" formed="" using="" your="" function="" in="" your="" chosen="" domain.="" show="" all="">

Jun 03, 2022
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