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1 answer:
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Answer:
graph: lower right
π units to the right of the graph of f(x)
Step-by-step explanation:
The transformation of f(x) to f(x-h) is a translation to the right by h units.
Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.
The graph of the translated function is shown below.
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<h3>Answer: 115</h3>
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Explanation:
Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.
The equilateral triangle marked in blue has all three angles 60 degrees each.
Note that the 60 and y angles combined to form 130, so,
60+y = 130
y = 130-60
y = 70
Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180
y+w+w = 180
70+2w = 180
2w = 180-70
2w = 110
w = 110/2
w = 55
This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.
Answer:
See Below.
Step-by-step explanation:
We are given that:
Where <em>I₀</em> and <em>k</em> are constants.
And we want to prove that:
From the original equation, take the derivative of both sides with respect to <em>t</em>. Hence:
Differentiate. Since <em>I₀ </em>is a constant:
Using the chain rule:
We have:
Substitute:
Distribute and simplify:
Hence proven.