RS goes with TS. TU goes with RQ. QS goes with US.
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
in this case, a=1, b=6
Note that . Then
. 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,
25hr. 40h. 10hr
375$ 600$ x
25 . 40 . x = 1000
375 . 600 = 225000
225000÷1000
x = 225
<h3>
Answer: 1.3</h3>
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Work Shown:
The two points we have are and
Apply the distance formula
-------------------------
A shortcut is possible by subtracting the y coordinates of the two points, and making the result positive through the use of absolute value.
So we either say
|y1-y2| = |1.2-2.5| = |-1.3| = 1.3
or,
|y2 - y1| = |2.5 - 1.2| = |1.3| = 1.3
We get the same result. This shortcut is valid because the x coordinates of both points are the same.