3 years ago

Choose the pair of numbers that is not a solution to the given equation.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

The answer is in this problem 1,2

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Three-sevenths of a number is 21. Find the number.

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3 years ago

If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

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$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

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