Answer:
L = 4.103
Step-by-step explanation:
we have length of curve
![L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Csqrt%7B%28f%27%28x%29%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
where ![f(x) = d/dx(3*in(x)) = 3/x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20d%2Fdx%283%2Ain%28x%29%29%20%3D%203%2Fx%20)
substituting for f(x), we have ![L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B%283%2Fx%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
(since the limit is 2≤ x ≤5)
solving, ![L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B9%2Fx%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
Simplifying this integral, we have
L = 4.10321
Answer:
6
Step-by-step explanation:
24/4 is 6
Your answer is B.
Flat fee is $250, so we cannot change this number.
585 - 250 = 335
335 (remaining cash) divided by 8 (price per student) = 41.875
Since we can't bring .8 of one student on the trip, we will round the number down to 41, because if we round up we will go over the budget of $585.
The maximum number of students a school can send is 41.
Answer:
r = 13
Step-by-step explanation:
r-6=7
Add 6 to each side
r-6+6=7+6
r = 13
Answer:
D
Step-by-step explanation:
Linear function means that the y values depend upon the x values and any other numbers that are being added to it.