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use aAS to peiorm paris (a) throdgn or the gen graon of ine tunction over the Cl

ID: 2884708 • Letter: U

Question

use aAS to peiorm paris (a) throdgn or the gen graon of ine tunction over the Close0 inerva fix)-3x1/3-2x213 where 0sxs1 All graphs are plotted on a [-12,1] by I-1,6,1] window Plot the curve together with the polygonal path approximation for n 8 partition points over the interval. Choose the correct graph below. OA. O C. OD. All graphs are plotted on a 1,2,1] by 1,6,11 window b. Find the corresponding approximation to the length of the curve by summing the lengths of the line segments The approximate length when n-2 is ? (Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

For n=2 , the graph has two straight lines joining A(0,0),B(0.5,3.641) and C(1,5) ,

So,for the length of the curve add the lengths AB and BC which is

AB=sqrt((0.5)^2+(3.641)^2)=3.6752 and BC=sqrt((0.5)^2+(5-3.641)^2)=1.4481 and hence the length of the curve is 5.123.