First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

Step-by-step explanation:
x+10=116
x=116-110
=106
x=106
Let's assume
number of shorts is x
we are given
People bought 2 times as many T-shirts as shorts
so, number of T-shirts is 2*x=2x
Dots sells T-shirts ($3) and shorts ($7)
so, total price of T-shirts 
so, total price of shorts 
now, we are given
total sales were $520
so,
total price of T-shirts+total price of shorts = total sales
we will get equation

now, we can solve for x


so,
number of shorts is 40
number of T-shirts is 2*40=80............Answer
Answer:
250 mm = 0.25 m
Step-by-step explanation: