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3 years ago

Consider the function f(x) = x+8/x^2+10x+16.

Mathematics

2 answers:

AlladinOne [14]3 years ago

7 0

Answer:

the answer is b in edge

Step-by-step explanation:

DedPeter [7]3 years ago

5 0

Answer:

As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.

Step-by-step explanation:

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Rút gọn<br> Giúp em với ạ. em lm mãi ko ra

elena55 [62]

Answer:

Step-by-step 12explanation:

5 0

3 years ago

Read 2 more answers

How would I find the integral of <img src="https://tex.z-dn.net/?f=%5Cint%5Cfrac%7Btdt%7D%7Bt%5E4%2B2%7D" id="TexFormula1" title

kotegsom [21]

Let $t=\sqrt y$ , so that $t^2=y$ , $t^4=y^2$ , and $\mathrm dt=\dfrac{\mathrm dy}{2\sqrt y}$ . Then

$\displaystyle\int\frac t{t^4+2}\,\mathrm dt=\int\frac{\sqrt y}{2\sqrt y(y^2+2)}\,\mathrm dy=\frac12\int\frac{\mathrm dy}{y^2+2}$

Now let $y=\sqrt2\tan z$ , so that $\mathrm dy=\sqrt2\sec^2z\,\mathrm dz$ . Then

$\displaystyle\frac12\int\frac{\mathrm dy}{y^2+2}=\frac12\int\frac{\sqrt2\sec^2z}{(\sqrt2\tan z)+2}\,\mathrm dz=\frac{\sqrt2}4\int\frac{\sec^2z}{\tan^2z+1}\,\mathrm dz=\frac1{2\sqrt2}\int\mathrm dz=\dfrac1{2\sqrt2}z+C$

Transform back to $y$ to get

$\dfrac1{2\sqrt2}\arctan\left(\dfrac y{\sqrt2}\right)+C$

and again to get back a result in terms of $t$ .

$\dfrac1{2\sqrt2}\arctan\left(\dfrac{t^2}{\sqrt2}\right)+C$

3 0

3 years ago

Can somebody help me ?

nata0808 [166]

You are solving quadratic equations. to do so, use the quadratic formula when possible, or factor. 15- for example, you can factor (x+5)(x+3), therefore x=-5,-3. You then go back and plug in your answers to see if you can eliminate any of them.

6 0

3 years ago

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color.

pashok25 [27]

The probability of selecting two jelly-filled donuts in a row is 1/ 22

<h3>What is probability?</h3>

Probability is simply the chance that a given event will occur.

It is also the ratio of the number of outcomes in a set of equally likely outcomes that produce a given event to the total number of possible outcomes.

From the information given, we have that the donuts are:

6 are jelly-filled
10 are lemon-filled
8 are custard-filled

Note that two jelly - filled donuts were taken without replacement

Probability( 2 jelly -filled donuts) = 6 / 24 × 4/ 22 = 24/ 24 × 22 = 1/ 22

Thus, the probability of selecting two jelly-filled donuts in a row is 1/ 22

Learn more about probability here:

brainly.com/question/24756209

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8 0

1 year ago

5. Identify the slope and y-intercept of the line with the given equation.

xeze [42]

$
y=mx+b\\
m- \hbox{slope}\\
b- \hbox{y-intercept}\\\\
\underline{y=5x+2}\\
m=5\\
b=2\\\\
2x+y=-6\\
\underline{y=-2x-6}\\
m=-2\\
b=-6$

3 0

3 years ago