Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246
We can model the function between a and b as a linear function of negative slope because it is a short interval and the change is not very significant.
We have then that the average rate of change in that interval is:
m = (f (a) - f (b)) / (a-b)
Substituting the values:
m = (34.25 - 26) / (2.5-3.6)
m = -7.5
Negative, because the function decreases in that interval.
Answer:
a reasonable estimate of the average rate of change of the height of the rocket, in meters per second, between a and b seconds is:
m = -7.5 m / s
Step-by-step explanation:
Given formula
an = n² + 4
Now the first four terms of the sequence are
a1 = 1² + 4 = 5
a2 = 2² + 4 = 4 + 4 = 8
a3 = 3² + 4 = 9 + 4 = 13
a4 = 4² + 4 = 16 + 4 = 20
The terms are
5 , 8 , 13 and 20.
Answer:
yes the above is a function.
