Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(x,−2x+8)(x,-2x+8)
Equation Form:x=xy=−2x+8
Answer:
The series representation is
and the interval of convergence is (-6,6)
Step-by-step explanation:
We want to find a series, such that f(x) = \sum_{n=0}{\infty}a_n(x-a)^{n}[/tex], were a is the value that we are using to center the series expansion. In our case, a=0.
We will use the geometric series formula as follows. For |r|<1 then

In our case, with some algebreaic manipulation we have that

Taking
we get that

This representation is valid (that means that the series converges to the value of f(x)) only for |r|<1. That is

which implies that |x|<6. So the interval of convergence is (-6,6).
The area of each of the 4 triangles is
... A = (1/2)bh = (1/2)(4)(3) = 6
The area of the square base (in the center of the net diagram) is
... A = s² = 4² = 16
Then the total area is 4×6 + 16 = 40 square units.
Answer:

Step-by-step explanation:
