The average rate of change of a function f(x) in an interval, a < x < b is given by
Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by
2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by
3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by
4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by
5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by
6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
Because 3 is less than or equal to 4, you would round down, it would be 33. I am talking about the three(s) after the decimal.
The height of the chimney above the floor of the observation deck is 52.4 ft
Two right angle triangle will be formed.
<h3>Right angle triangle:</h3>
Right angle triangle are triangle that has one of its angle as 90 degrees.
Therefore, using trigonometric ratio,
adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck
Therefore,
tan 40 = opposite / adjacent
Where
x = height of the observer to the top of the observation deck
tan 40 = x / 200
x = 200 tan 40
x = 167.819926235
x = 167.82 ft
tan 30 = opposite / adjacent
y = height of the observer to the bottom of the observation deck
tan 30 = y / 200
y = 200 tan 30
y = 115.470053838
y = 115.47 ft
The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck
The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft
learn more on trigonometric ratio here: brainly.com/question/23854119