Well the answer would be 12.5. I hoped that this helped. :)
3^4 + 2 * 5 = 91
The answer is 91.
Step-by-step explanation:
perpendicular means to cross at a right angle (90 degrees).
so, any line perpendicular to the x-axis is parallel to the y-axis.
and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).
the y-axis itself is
x = 0
the specified point here has an x value of 4.
so, the line we are looking for is
x = 4
to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.
Answer: an infinity many solutions
Step-by-step explanation:
If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.
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
. 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,