Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and
This implies and
As each circle has an arc where the measures of the corresponding central angles are the same,
As radius of one circle is twice the radius of the other circle,
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer:
Step-by-step explanation:
The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-
In the given table, independent variable = Days
Dependent variable = Total Miles
From first row, Days = 3
Total Miles =
Then, the constant of proportionality in the table
Hence, the constant of proportionality in the table is .