find area of a surface

label Calculus
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May 26th, 2015

The circumference of a circle is π*d = 2*π*r and in this case r = x 

However we are integrating relative to the change in y, so we will use the linear equation x = 5*y and the circumference is: 

2*π*5*y Δy as Δy-->0 = 

2*π*5*y dy 


∫ 10*π*y dy 


.........................2 
= 10*π*((y^2)/2) ] 
.........................0 

= 10*π*(4/2) = 20*π = 20*3.1416 = 62.832 

May 26th, 2015

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May 26th, 2015
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May 26th, 2015
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