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





Answer:
i have no idea.
Step-by-step explanation:
To triple this number, you can triple the whole number, triple the fraction, then add them together.
3*3=9
1/2*3=3/2 (or 1 1/2)
Add them together.
9+1 1/2= 10 1/2
Find 10% of it (just move the decimal point one spot to the left) and multiply by 4
Ok, so she has 14 tickets and each ride cost 2 so that can be modeled with the following expression: x= 14-2y since she initially bought 14 tickets and 2 times the number of tickets she spends. To find the equivalent expression you could basically switch up the formula like so: 7*2-2y=x because you just need an equivalent expression, and you don't need to have such a different formula or anything like that. Hope I helped!