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3 years ago

Use the vertical line test to determine whether y is a function of x

Mathematics

1 answer:

Luden [163]3 years ago

8 0

Answer:

Not a function of x

Step-by-step explanation:

A vertical line intersects the graph twice, which immediately tells us that y is not a function of x here. If y were a function, the vertical line would intersect the graph in only one place.

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Integrate <br>tan³sec² dx

Sauron [17]

Answer:

$\frac{1}{4}\mathrm{tan}^4x+c$

Step-by-step explanation:

Assuming you actually mean:

$\int(\mathrm{tan}^3x)(\mathrm{sec}^2x)dx$ .

Let $u=\mathrm{tan}x$ .

Then, $\frac{du}{dx}=\frac{d}{dx}(\frac{\mathrm{sin}x}{\mathrm{cos}x})=\mathrm{sec}^2x$ .

Hence, $dx=\frac{1}{\mathrm{sec}^2x}du$ .

Therefore, we get via substitution:

$\int(\mathrm{tan}^3x)du\\=\int u^3du\\=\frac{u^4}{4}+c\\=\frac{1}{4}\mathrm{tan}^4x+c$

7 0

3 years ago

I don't know why it is faced that way but help plz

Nady [450]

Answer: x > 5

Step-by-step explanation: You need to isolate x. First, distribute the 1/2 into the parentheses. You will get:

4x + x + 2 > 12

Combine like terms.

5x + 2 > 12

Subtract 2 from each side.

5x > 10

Divide by 5 on each side.

X > 2

Since x is by itself, that is the answer.

7 0

4 years ago

Read 2 more answers

The heights of women aged 20 to 29 follow approximately the N(64, 2.72) distribution. Men the same age have heights distributed

Softa [21]

The z-score for men at 64 inches is:
$z=\frac{64-69.3}{2.84}=-1.866$
Using a standard normal distribution table, we can see that the cumulative probability for a z-score of -1.866 is 0.031.
The answer is 3.1%.

4 0

4 years ago

A department store is having a 15% of sale on all winter coats you purchase a winter coat for 275. With 7.25% sale tax how much

yuradex [85]

Sale price for coat =
275 x 0.85 (decimal multiplier for 15% decrease) = £233.75
£233.75 x 1.0725 (decimal multiplier for 7.25% increase) = £250.70

8 0

3 years ago

Is the solution of -2x = -15 greater than or less than -15? Explain.

adell [148]

You divide both sides by -2. -15/-2=7.5
Negatives cancel so you get a positive. Positive numbers are obviously greater than -15 so it's greater than

3 0

4 years ago