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3 years ago

Find the domain and range of the function, f(x)= √sin x

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

6 0

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

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Solving for a variable in an equation means, we are changing the subject of formula of the equation.

The equation of r is: $\mathbf{r = \sqrt{\frac{3V}{\pi h}}}$

The equation is given as:

$\mathbf{V = \frac 13 \pi r^2h}$

We start by multiplying both sides by 3

$\mathbf{V \times 3= \frac 13 \pi r^2h \times 3}$

Rewrite as:

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Divide both sides by $\mathbf{\pi h}$

$\mathbf{\frac{3V}{\pi h}= \frac{\pi r^2h}{\pi h}}$

Cancel out common factors

$\mathbf{\frac{3V}{\pi h}= r^2}$

Take square roots of both sides

$\mathbf{\sqrt{\frac{3V}{\pi h}}= \sqrt{r^2}}$

Evaluate the right-hand sides

$\mathbf{\sqrt{\frac{3V}{\pi h}}= r}$

Make r the subject

$\mathbf{r = \sqrt{\frac{3V}{\pi h}}}$

Hence, the resulting equating for r is:

$\mathbf{r = \sqrt{\frac{3V}{\pi h}}}$

Read more about the subject of formulas at:

brainly.com/question/21866313

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