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3 years ago

10

Write an equation of the line in slope-intercept form. y=

1 answer:

Phantasy [73]3 years ago

3 0

Y= mx+b
Y= 1x -2
Good luck

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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

For the diagram below, which equation is the correct use of the distance formula?

MrMuchimi

Answer:

????

Step-by-step explanation:

Where's the equation? diagram?

8 0

3 years ago

Read 2 more answers

What is the average rate of change for this function for the interval from x=3 to x=5?

timofeeve [1]

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 3, 5 ]

From the table of values

f(b) = f(5) = 32

f(a) = f(3) = 8

Hence

average rate of change = $\frac{32-8}{5-3}$ = $\frac{24}{2}$ = 12

4 0

3 years ago

Read 2 more answers

Solve for “a” <br><br> 11a + 5 = -6

Shalnov [3]

Answer:

a=-1

Step-by-step explanation:

-6-5=-11

-11/11=-1

4 0

3 years ago

Please help! Which expression is equal to..?

Alenkasestr [34]

Answer:

A

Step-by-step explanation:

Before we can add the 2 fractions we require them to have a common denominator.

Multiply the numerator/ denominator of the first fraction by x

Multiply the numerator/ denominator of the second fraction by (x + 3)

= $\frac{3x(x)}{x(x+3)}$ + $\frac{(x-2)(x+3)}{x(x+3)}$

Now simplify the numerator, leaving the denominator

= $\frac{3x^2+x^2+x-6}{x(x+3)}$

= $\frac{4x^2+x-6}{x(x+3)}$ → A

5 0

3 years ago