The intersection of the gaphs of the two equations are at point (-2, 0) and (3, 5) which are the solutions to the system of equations.
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
1.) top row: 100 200 300 400 500 600. Bottom row: 5 10 15 20 25 30
2. Each ratio is just the top row divided by the bottom row. So the second thing in the ratio would be 200/10, the third one 300/15, etc. Each ratio is equal to 20.
3.) if x is gallons of gas used, y is distance driven. the equation that describes this relationship is y=20x.
1+tan^2(y)=1/cos^2(y)
cos 2y -1=cos^2(y) -sin^2(y)-cos^2(y) -sin^2(y)
