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Naddika [18.5K]

3 years ago

15

What is the value of X?

1 answer:

saw5 [17]3 years ago

5 0

One I Believe Because X Is A variable

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Limit question: lim x-->pi ((e^sinx)-1)/(x-pi)

aleksandr82 [10.1K]

$\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}$

Notice that if $f(x)=e^{\sin x}$ , then $f(\pi)=e^{\sin\pi}=e^0=1$ . Recall the definition of the derivative of a function $f(x)$ at a point $x=c$ :

$f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}$

So the value of this limit is exactly the value of the derivative of $f(x)=e^{\sin x}$ at $x=\pi$ .

You have

$f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1$

4 0

3 years ago

Which shows an equation for this situation?

Artemon [7]

B, T=2L+7, Toby is 2*the age of liv plus 7 years

3 0

3 years ago

HELP PLEASE I NEED THIS FOR A TEST!!1<br> Is this a function yes or no?

sukhopar [10]

No, because the input repeated 4 twice and the output repeated 3 twice

6 0

2 years ago

Read 2 more answers

Solve the system of equations

Phoenix [80]

The correct answer is letter B, (6,-1).

When you substitute this ordered pair on the equations, you would found out is the correct one.

6 0

3 years ago

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The sum of two numbers is 22. The difference is 6. What are the two numbers?

algol [13]

Answer:

Numbers are 14 and 8

Step-by-step explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

x - y = 6

Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

x = 14

Numbers are 14 and 8

7 0

3 years ago

Read 2 more answers