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INTEGRATION

INTEGRATION. 1. Let R be the region bounded by the x-axis, the graph of y= , and the line x = 4. ( a) Find the area of the region R. ( b) Find the value of h such that the vertical line x = h divides the region R into two regions of equal area.

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INTEGRATION

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  1. INTEGRATION

  2. 1. Let R be the region bounded by the x-axis, the graph of y= , and the line x = 4. (a) Find the area of the region R. (b) Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. (c) Find the volume of the solid generated when R is revolved about the x=axis. (d) The vertical line x = k divides the region R into two regions such that when these two regions are revolved about the x-axis, they generate solids with equal volumes. Find the value of k.

  3. (A) Find the area of the region R.

  4. A) Graphic Calculator Graph the function then press 2nd + TRACE, down to 7 and press ENTER, set lower limit to 0 and upper to 4 then press enter. Graph #2 Graph #1

  5. B) Find the value of h such that the vertical line x = h divides the region R into two regionsof equal area.Method #1 h3/2 = 4 h= 2. 520

  6. Method #2

  7. C) Find the volume of the solid generated when R is revolved about the x=axis.

  8. C) Graphic Calculator Graph the function y= x, press 2nd + TRACE, down to 7 and press ENTER, set lower limit to 0 and upper to 4 then press enter. Multiply the answer by . Graph #1 Graph #2

  9. D) The vertical line x = k divides the region R into two regions such that when these two regions are revolved about the x-axis, they generate solids with equal volumes. Find the value of k.

  10. By Gabriela Witek There is not END

  11. Citation • Slide #1 http://blog.ccbcmd.edu/rcoradin/2011/02/20/math-overload/ • Slide #2 http://www.google.com/imgres?imgurl=http://www.clientconnexion.com/images/misc/Calculator-man.jpg&imgrefurl=http://vcrdutah.org/pinder-asset-allocation-calculator-best-canada/ • Slide #3 http://bofh.cx/wp-content/uploads/2009/10/math_jokes.jpg • Slide #4 TI 83 Graphing Calculator- graph 1 and 2 • Slide #6 http://ar-mathcoaches.wikispaces.com/file/view/calculator.gif/106985425/calculator.gif http://blogs.edweek.org/edweek/eduwonkette/upload/2008/07/DefeatTheSunwithCalculus-full.jpg http://www.tutorfox.com/calculus.JPG • Slide #8 TI 83 Graphing Calculator- graph 1 and 2 • Slide #10 http://wonderopolis.org/wp-content/uploads/2011/04/silver-infinity-symbol_shutterstock_64474066-640x385.jpg

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