Answer:
0.0032
Step-by-step explanation:
We need to compute by the help of third-degree Taylor polynomial that is expanded around at x = 0.
Given :
< e < 3
Therefore, the Taylor's Error Bound formula is given by :
, where
Therefore, |Error| ≤ 0.0032
Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:
The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.
