Answer:
7.8
Step-by-step explanation:
First I will try 50. I got 127,550, so that was way too big.
Let me try a smaller number. How about 5. I got 155, so that was a bit too small.
Now I'll try 20. I got 8420. Looks like the number is between 5 and 20.
How about 7. I got 399.
Let me try 8. I got 584! That's really close. It's just a little too big.
I tried 7.5, and got 485.624. So close! Just a little higher.
Putting in 7.8 yields <u>543.192!</u> That's our answer.
Answer: a. 19
Step-by-step explanation:
it only has 1 and itself
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.
Answer:
a) The sequence converges to 0
b) The lenght of the curve is 
Step-by-step explanation:
Consider the sequence 
a) We will prove it using the sandwich lemma. Note that for all n 
, then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function 
the formula of curve lenght is given by
![s = \int_a^b \sqrt[]{1+(f'(x))^2}dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint_a%5Eb%20%5Csqrt%5B%5D%7B1%2B%28f%27%28x%29%29%5E2%7Ddx)
in this case, a=1, b=6
Note that 
. Then
![s=\int_1^6 \sqrt[]{1+36x}dx](https://tex.z-dn.net/?f=s%3D%5Cint_1%5E6%20%5Csqrt%5B%5D%7B1%2B36x%7Ddx)
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
![s=\frac{1}{36}\int_{37}^{217}\sqrt[]{u} du = \frac{2}{36\cdot 3} \left.u^{3/2}\right|_{37}^{217}=\frac{1}{54}(217^{3/2}-37^{3/2})](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B36%7D%5Cint_%7B37%7D%5E%7B217%7D%5Csqrt%5B%5D%7Bu%7D%20du%20%3D%20%5Cfrac%7B2%7D%7B36%5Ccdot%203%7D%20%5Cleft.u%5E%7B3%2F2%7D%5Cright%7C_%7B37%7D%5E%7B217%7D%3D%5Cfrac%7B1%7D%7B54%7D%28217%5E%7B3%2F2%7D-37%5E%7B3%2F2%7D%29)
