Use De Moivre’s Theorem to compute the following:
1 answer:
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Answer:
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation:
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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