Given a vertical asymptote at x=0 and a horizontal asymptote at y=2, which values of x should be used to determine coordinate?

Mathematics

1 answer:

vodka [1.7K]3 years ago

5 0

The y and a coordinated go left

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Just answer #4 (Trigonometry) THANK YOU!!!

Anastasy [175]

Opposite over adjacent
=tan^-1(1.5/3)= theta
angle theta = 26.56505118 degrees.

3 0

3 years ago

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How to solve this integration problem? the answer should be -π/12

ivann1987 [24]

$\displaystyle\int_{-1}^{-\sqrt2/2}\frac{\mathrm dy}{y\sqrt{4y^2-1}}$

Try setting $y=\dfrac12\sec t$ , so that $\mathrm dy=\dfrac12\sec t\tan t\,\mathrm dt$ . The interval then changes from $-1\le y\le-\dfrac{\sqrt2}2$ to $\dfrac{2\pi}3\le t\le \dfrac{3\pi}4$ .

Now, the integral is

$\displaystyle \int_{2\pi/3}^{3\pi/4} \frac{\dfrac12\sec t\tan t}{\dfrac12\sec t\sqrt{4\left(\dfrac12\sec t\right)^2-1}}\,\mathrm dt=\int_{2\pi/3}^{3\pi/4}\frac{\tan t}{\sqrt{\sec^2t-1}}\,\mathrm dt$

The Pythagorean identity lets you reduce the denominator:

$\sqrt{\sec^2t-1}=\sqrt{\tan^2t}=|\tan t|$

Since $\tan t$ for the given interval, you have $|\tan t|=-\tan t$ , which means the integral is equal to

$\displaystyle\int_{2\pi/3}^{3\pi/4}\frac{\tan t}{-\tan t}\,\mathrm dt=-\int_{2\pi/3}^{3\pi/4}\mathrm dt=-\dfrac\pi{12}$

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3 years ago

Translate the sentence into an inequality. <br> The product of x and 3 is greater than -25.

nexus9112 [7]

Answer:

x · 3 > -25

I hope that this helped!

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2 years ago

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Round 22,810 to the nearest thousand

Anettt [7]

Answer:

It would be 23,000.

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The equation y= 39 4x describes the number of miles y that an airplane travels in x minutes. What is the constant speed of the a

7nadin3 [17]

Speed: distance traveled in a given time

y=distance ( given in miles).
x = time (given in minutes)

Speed = y/x

y = 39.4x

By rearranging this y/x =39.4 ( is the constant speed). don’t forget this is mile/minutes

There are 4 x 60 minutes in 4 hours

Hence, you are asked the distance (y) in 240 min

y = 39.4x
y = 39.4 miles/minutes x (240) minutes

y = 9456 miles

7 0

3 years ago