A. The actual building height will be 596 ft tall. You want your model to be 3 ft tall. What will the scale factor be? For this
project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
B. The actual building height will be 254 ft tall. You want your model to be 5 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
C. The actual building height will be 1087 ft tall. You want your model to be 6 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
B. The actual building height will be 254 ft tall. You want your model to be 5 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
C. The actual building height will be 1087 ft tall. You want your model to be 6 ft tall. What will the scale factor be? For this project, the constant of proportionality is ________. Each inch of the model will represent ________ft of the actual building.
1 answer:
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Step-by-step explanation:
The graph is shown in the image above.
Answers:
a = -6/37
b = -1/37
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Explanation:
Let's start things off by computing the derivatives we'll need
Apply substitution to get
I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.
The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero
a-6b = 0
a = 6b
At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)
-6a -b = 1
-6(6b) - b = 1 .... plug in a = 6b
-36b - b = 1
-37b = 1
b = -1/37
Use this to find 'a'
a = 6b
a = 6(-1/37)
a = -6/37