Answer:
(-4, 4)
Step-by-step explanation:
The solution of f(x) - g(x) = 0 is the same as that of f(x) = g(x).
If f(x) = g(x), that implies that the two graphs cross one another.
The point of intersection is (-4, 4). This is the solution.
Answer:
6 terms
Step-by-step explanation:
2 − 2/4 + 2/9 − 2/16 + ...
∑ (-1)ⁿ⁺¹ 2 / n²
Applying alternating series test:
lim(n→∞) 2/n² = 0
2/(n+1)² < 2/n², so the series is decreasing.
Therefore, the series converges.
2/(n+1)² < 0.05
(n+1)²/2 > 20
(n+1)² > 40
n+1 > 6.32
n > 5.32
n = 6
Answer:
63
Step-by-step explanation:
let the two numbers be x,y (x>y)
Then x+y = 16 and x-y = 2
We know that (x+y)^2 - (x-y)^2 = 4xy
So 4xy = 16^2 - 2^2 => 4xy = (16+2)(16–2)
So xy = 18×14/4 = 63
Product of the numbers = 63
