The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

In this case, we have
<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> ) ==> d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )
<em>y(t)</em> = 5 - 2<em>t</em> ==> d<em>y</em>/d<em>t</em> = -2
and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then





Required expression is x/9 - 7
Answer:
Getting through ratio method
100-20=80 percent have to pay
18:80
<em>x</em>:100
cross multiply
80 x <em>x=1</em>8 x 100
80x=1800
x=1800/80
x=22.5
So the original price was $22.50
Step-by-step explanation:
8=108 degrees because 180-92=108
Answer:
It will be $85, 34÷ 4
will give you 8.5 then you multiply it by 10,× 10=85