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Ede4ka [16]
3 years ago
15

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function f

(x) = StartFraction 100 Over x EndFraction represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function f (x) = StartFraction 1 Over x EndFraction transformed to create the graph of the function On a coordinate plane, 2 curves have an asymptote at x = negative 20. One a curve opens up and to the right and goes through (Negative 15, 20) and (0, 5). Another curve opens down and to the left and goes through (negative 40, negative 5) and (negative 25, negative 20).?
It is a vertical stretch with a factor of 100 and a translation 5 units right.
It is a vertical stretch with a factor of 95.
It is a vertical stretch with a factor of 100 and a translation 5 units down.
It is a vertical stretch with a factor of 500.
Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

C.) It is a <u>vertical stretch with a factor of 100</u> and a translation <u>5 units down</u>.

Step-by-step explanation:

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Step-by-step explanation:

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If there is such a scalar function <em>f</em>, then

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Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

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Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

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\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

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