a. The
component tells you the particle's height:

b. The particle's velocity is obtained by differentiating its position function:

so that its velocity at time
is

c. The tangent to
at
is

Answer:
10 teams (1 remainder)
Step-by-step explanation:
if each team has 3 players and there are 30 friends, divide that and youll end up with 10 teams. you will also have 1 remaining player
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is 
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is 
The greatest common factor is:

6 + 3 or you could do 4.5 + 4.5. but the first one is probably what they're looking for.