Answer:
6720
Step-by-step explanation:
The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.
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<u>First Method</u> :
8P5 = 8 × 7 × 6 × 5 × 4
= 6720
<u>Second Method</u> :
2x + 12 = -2(4-2x) X=10 X=-10 X=-5 X=5
2 answers:
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Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:
This is equivalent to:
To solve, we can use the following property:
Therefore, our limit is the same as:
We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:
You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:
Using the same property:
And we are told that this is 16, so:
And we just need to evaluate this to find the limit.
I hope you find this helpful!
As the fellow above said, the particle does make a U-turn at the vertex, and we can find that out by getting the derivative of s(t) and zeroing it out to get the point of the horizontal tangent.
Bearing in mind that ds/dt is really v(t) or the velocity equation, so when we zero out the ds/dt, is the same as saying the velocity went to 0, since it got zeroed out, and then the particle goes over the vertex and changes direction.
the negative acceleration value, simply means a decreasing rate of change, so, it means the particle is slowing down and possibly coming to a stop before changing direction again.
Bearing in mind that ds/dt is really v(t) or the velocity equation, so when we zero out the ds/dt, is the same as saying the velocity went to 0, since it got zeroed out, and then the particle goes over the vertex and changes direction.
the negative acceleration value, simply means a decreasing rate of change, so, it means the particle is slowing down and possibly coming to a stop before changing direction again.