tony bought 288 1 inch nails and 5 boxes of 2 inches. each box of 2 inch nails had equal amount of nails in them. he bought a to
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<u>Given</u>:
A map shows some cities in the northern United States. The scale of a map is
The actual distance between Chicago, IL and Pittsburgh, PA is 375 miles.
We need to determine the distance between the two cities on the map.
<u>Distance between the two cities:</u>
The distance between the two cities on the map can be determined by dividing the actual distance by 125 miles.
Thus, we have;
Dividing the terms, we get;
Thus, the distance between the two cities on the map is 3 inch.
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
<h3>How to obtain the maximum value of a function?</h3>To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
In general
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
Learn more about maximum of a function here:
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