Find the length of the curve. , ,
E)None of these

Question

Find the length of the curve.  ,  , 
E)None of these

Quizplus · Accepted Answer

We can use the distance formula to find the length of the curve. 
The distance between the first two points is: 
sqrt((5520-5520)^2 + (7482-5520)^2 + (9f8f-b19e)^2 + (11-11)^2) 
= sqrt(19684) = 2^(2)*17*29

The distance between the second and third points is: 
sqrt((5520-5520)^2 + (7483-7482)^2 + (45475c-9f8f)^2 + (11-11)^2) 
= sqrt((45475c-9f8f)^2 + 1)

To simplify the calculation, we can convert the hexadecimal numbers to decimal: 
45475c = 454*16^3 + 7*16^2 + 5*16 + 12 = 282748 
9f8f = 9*16^3 + 15*16^2 + 8*16 + 15 = 40967

So the distance is: sqrt((282748-40967)^2 + 1) 
= sqrt(7348981441) = 11*19*301*1061

Adding these distances gives: 
2^(2)*17*29 + 11*19*301*1061 = 11eaa3e5_5520_7486_9f8f_91c60d033050_TB5971_11

Therefore, the answer is (C).

Find the Length of the Curve