Question

please help with #36 only. it is highlighted below. parts a, b and c.

COMPUTER EXPLORATIONS In Exercises 35-40, use a CAS to perform the following steps for the given graph of the function over the closed interval. a. Plot the curve together with the polygonal path approxima- tions for n 2., 4, 8 partition points over the interval. (See Figure 6.22.) b. Find the corresponding approximation to the length of the curve by summing the lengths of the line segments. c. Evaluate the length of the curve using an integral. Compare your approximations for n = 2,4, 8 with the actual length given by the integral. How does the actual length compare with the approximations as n increases? Explain your answer. 35. fa) = VI- -1sxs1 36. f(x) = x/ + , 0s1s 2

Answer 1

てラメラ9 2 2-0 2 So Arc lenth (f -tlo) +-0)Jt-t0)+ (a

Sa Arc lenyth 2 ナ1 ~1 3.J トyoy 224 2.047 So Arcleryth e y24+0s2ナV(2-1ッ24)2ナoJ-2 + + 2-0 /ト021 ト429 739 22230 2-40 2457 2-247 2 4 So Arc leng th ~ Shoat022tu(y21-ト-2)-40252+v173yート9247ュッ2/ M238-2)ot Je 4ss-22302 (2-173)40252 + 0t(sh.-L9 2-4-27to 2 2 orft-hotro(shs 3.60 (4)) Are lenyth= t(ゲイツミメリ dx=36/42/ + X 1+ (

We can see as n increases the approximation is close to the actual value.