Rate tables are useful because it has something that stands for something else. For example,
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
A right angle is an angle with a measure of 90 degrees.
For simplifying radicals, remember the product rule of radicals: √ab = √a x √b . This radical is simplified as such:
√72 = √9 x √8 = 3 x √4 x √2 = 3 x 2 x √2 = 6√2
In short, the simplified radical of √72 is 6√2.
If it is 1 2/3 it is 5/3. if it is 12/3 it is already a improper factor.<span />
