F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
Step-by-step explanation:
I don’t understand
The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.
1 is thousands
6 is tens
2 is tenths
5 is hundreds
1) First find the multiplier.
Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.
2)Ask how do we get from 5 to 3?
- We subtract 2 so the multiplier is -2
3)Lets make a linear equation: y=mx +b
- m= multiplier or slope
- x= Just equals x value
- b= your starting value or the 0 term which is 5
4)Use the values that you have to create your equation.
Note:For the x value just plug in the x value from your table.
Ex.
