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
Answer:
The length of the hypotenuse of the triangle is about 14.14 units.
Step-by-step explanation:
You can determine this by using the Pythagorean Theorem.
a^2 + b^2 = c^2
To find the hypotenuse, take sides a and b (10 and 10) and square them. You get 100. When you add 100 and 100 together, you get 200, which equals c^2. Find the square root of 200 to find the hypotenuse.
Answer:
3
Step-by-step explanation:
25+25= 50 spent on the kids, leaving 150 to spend on the adults, 45 can go into 150 3 times.
hope this helps!!!
Answer:
45300
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
This is because, for the figures to be congruent, it means that, all the shape of one figure happens to be same with the shape of the other figure even though the size of the figures might be different.
