Mathematics, 28.08.2019 17:30 PinkDivaGirl02
Let v be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . find v by slicing.
Answers: 2
 and  
. 
then 
 o  
. Therefore the integration limits are:
 and  
 and  
. Then![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](/tpl/images/0206/1899/c005f.png)
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Let v be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and...
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