What curve passes through the point (1 ,2) and has an arc length on the interval [2,6] given by integral from 2 to 6 startroot 1 plus 64 x superscript negative 6 endroot dx ? what is the curve?

Step-by-step explanation:

Given

Length of curve

Length of curve is given by

over interval a to b

comparing two we get

integrating

Curve Passes through (1,2)

curve is

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.