The inpjt of the function
1 answer:
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Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.
Answer:
Option a.
Step-by-step explanation:
By looking at the options, we can assume that the function y(x) is something like:
such that, y(0) = √4 = 2, as expected.
Now, we want to have:
replacing y' and y we get:
Now we can try to solve this for "a".
If we multiply both sides by y(x), we get:
We can remove the x factor in both numerators if we divide both sides by x, so we get:
Now we just need to isolate "a"
Now we can subtract a*x^2 in both sides to get:
Then the solution is:
The correct option is option a.