Which functions domains consist of all real numbers except -2?
2 answers:
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1) Find the derivative 
and 
.
2) The equation of the tangent line is
, so at point (2,6): 
and
-the equation of the tangent line at point (2,6).
2) The equation of the tangent line is
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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The given expression :
For coordinates:
put x = 0 then :
Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :
Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :
Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :
Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :
Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :
