Notice that if
, then
. Recall the definition of the derivative of a function
at a point
:
So the value of this limit is exactly the value of the derivative of
at
.
You have
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
4x-24y. Basically you distribute 4 to x which makes it 4x and distribute 4 to 6 which multiplies to 24 and you drop y next to it making it 24y
Answer:
X = 32 meters.
Step-by-step explanation:
- Let the unknown distance be X.
<u>Given the following data;</u>
- Distance = 8 meters per hour
- Time = 4 hours
To find how many meters he would cover in four hours;
1 hour = 8 meters
4 hours = X meters
Cross-multiplying, we have;
X = 8 * 4
<em>X = 32 meters.</em>
