Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
Answer:
37ft³
Step-by-step explanation:
Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³
Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³
Volume of the water = volume of the fish tank - volume of the cubic stone
i.e Volume of the water = 45ft³ - 8ft³ = 37ft³
Answer:
I do not understand.
Step-by-step explanation:
Please add a picture of explain what it is you want help with.
At this moment I do not understand the question, I am sorry.
Answer:
So, the first three nonzero terms in the Maclaurin series are:
Step-by-step explanation:
From exercise we have the next function y = 6 sec(3x).
We know that Maclaurin series for the function sec x, have the following form:
So, for the given function y = 6 sec(3x), we get:
So, the first three nonzero terms in the Maclaurin series are:
