Answer:
From top to bottom:
Step-by-step explanation:
We are given the piecewise function:
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
Answer:
Step-by-step explanation:
Given
Fireplace is in the form of semi-ellipse with height of 3 ft from center
Length of base=8 ft
if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis
2 a =8
a=4 ft
If contractor cover the whole base
then total length of string=2a =8 ft
(b)String should be nailed at focus
focus of ellipse is a e
where e=eccentricity
Focus
Thus string should be nailed at 2.64 m from center