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BARSIC [14]
2 years ago
8

Which expressions are equivalent to the given expression. Help me out please

Mathematics
1 answer:
zubka84 [21]2 years ago
5 0

Answer:

.............. .......

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If the graph of f(x) has the point (2,7) then what is one point that will be on the graph of f-1(x)
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The graph of f^-1 (x) is called the inverse function of f (x). The relationship between the two is that the point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the graph of f^-1 (x).

This means that if the point (2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).

<span>Answer: (7, 2)</span>

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2 years ago
If<br> DX/DT= 2cm/s <br> x=-1 <br> y=x^2+1<br> DY/DT=??
kobusy [5.1K]

Answer:

\frac{dy}{dt} = - 4 cm/s

Step-by-step explanation:

Let us revise the chain rule

If \frac{dy}{dt} = a and \frac{dx}{dt} = b, then

\frac{dy}{dx} = \frac{dy}{dt} ÷  \frac{dx}{dt} = \frac{a}{b}

∵ y = x² + 1

- Use the differentiation to find \frac{dy}{dx}

∴ \frac{dy}{dx} = 2x

∵ x = -1

- Substitute x by -1 in  \frac{dy}{dx}

∴  \frac{dy}{dx} = 2(-1)

∴  \frac{dy}{dx} = -2

∵  \frac{dy}{dt} =  \frac{dy}{dx} ×  \frac{dx}{dt}

∵ \frac{dx}{dt} = 2 cm/s

∴  \frac{dy}{dt} = (-2) × (2)

∴ \frac{dy}{dt} = - 4 cm/s

8 0
3 years ago
50 POINTS
Snowcat [4.5K]

Answer:

-1

Step-by-step explanation:

took the exam on edge

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