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2 years ago

Which equation represents the sentence?

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

It would be 12+n=4n

The sum (+) of 12 and a number (n) is (=) 4 times a number (4n)

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Find the missing side of the triangle

Leona [35]

Answer:

Step-by-step explanation:

Using Pythagoras theorem, we have

x^2+11^2=15^2, x^2=104, x=2*sqrt(26)

6 0

2 years ago

Derivative, by first principle <img src="https://tex.z-dn.net/?f=%20%5Ctan%28%20%5Csqrt%7Bx%20%7D%20%29%20" id="TexFormula1"

vampirchik [111]

$\displaystyle\lim_{h\to0}\frac{\tan\sqrt{x+h}-\tan x}h$

Employ a standard trick used in proving the chain rule:

$\dfrac{\tan\sqrt{x+h}-\tan x}{\sqrt{x+h}-\sqrt x}\cdot\dfrac{\sqrt{x+h}-\sqrt x}h$

The limit of a product is the product of limits, i.e. we can write

$\displaystyle\left(\lim_{h\to0}\frac{\tan\sqrt{x+h}-\tan x}{\sqrt{x+h}-\sqrt x}\right)\cdot\left(\lim_{h\to0}\frac{\sqrt{x+h}-\sqrt x}h\right)$

The rightmost limit is an exercise in differentiating $\sqrt x$ using the definition, which you probably already know is $\dfrac1{2\sqrt x}$ .

For the leftmost limit, we make a substitution $y=\sqrt x$ . Now, if we make a slight change to $x$ by adding a small number $h$ , this propagates a similar small change in $y$ that we'll call $h'$ , so that we can set $y+h'=\sqrt{x+h}$ . Then as $h\to0$ , we see that it's also the case that $h'\to0$ (since we fix $y=\sqrt x$ ). So we can write the remaining limit as

$\displaystyle\lim_{h\to0}\frac{\tan\sqrt{x+h}-\tan\sqrt x}{\sqrt{x+h}-\sqrt x}=\lim_{h'\to0}\frac{\tan(y+h')-\tan y}{y+h'-y}=\lim_{h'\to0}\frac{\tan(y+h')-\tan y}{h'}$

which in turn is the derivative of $\tan y$ , another limit you probably already know how to compute. We'd end up with $\sec^2y$ , or $\sec^2\sqrt x$ .

So we find that

$\dfrac{\mathrm d\tan\sqrt x}{\mathrm dx}=\dfrac{\sec^2\sqrt x}{2\sqrt x}$

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3 years ago

WILL GIVE BRAINLIST ANSWER MATH

Wittaler [7]

Answer:

might be C not sure though

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2 years ago

Here is a distribution of six observations, sorted in ascending order:4.7, 9.2, 10.9, 12.3, 16.6, 18.3The mean of this distribut

SCORPION-xisa [38]

Answer:

0 is the answer

Step-by-step explanation:

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3 years ago

Read 2 more answers

HELP ME PLZ I DONT UNDERSTAND THIS

Afina-wow [57]

The corporate team building event will cost $18.00 because $2 multiplied by 6 is $12.00 and $1.00 multiplied by 6 is $6.00 and 6 plus twelve is 18 so it would be $18.00

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3 years ago