The linear density of a rod of length 1.7 m is given by the following in grams per centimeter, where x is meas

Question

The linear density of a rod of length 1.7 m is given by the following in grams per centimeter, where x is measured in centimeters from one end of the rod.

p(x) = 1/ sqrt(x)

find the mass of the rod.

Answer 1

I answered this question for jc yesterday! Search for questions to find the answer.


Just integrate p(x) along the rod.

Answer 2

evaluate an element of length dx, from x to x+dx. ? = 2/?x elemental mass, dm = ?(x) * dx = 2x^(-one million/2) dx entire mass, m = ?{x=0 too 900} dm = 4?x | x=0 to 900 *edited to ideal contraptions = a hundred and twenty g *corrected answer