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3 years ago

Choose the true statement.

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

It is =8 00 8-0 I Ait gg ;8 00
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V
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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

Divide £12 between mick and sharon in the ratio 2:4

antiseptic1488 [7]

Answer:mick share is £4 while Sharon share is £8

Step-by-step explanation:

Money to be shared=£12

Mick : sharon=2:4

Sum of ratio=2+4=6

Mick share=2/6 x 12

Mick share=(2x12)/6

Mick share=24/6

Mick share=4

Sharon share=4/6 x 12

Sharon share=(4x12)/6

Sharon share=48/6

Sharon share=8

6 0

3 years ago

7 - 9x - 15 + 12x HELPPPP

Gekata [30.6K]

Simplify. Combine like terms

12x - 9x = 3x

7 - 15 = -8

3x - 8 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers

How do i solve this

laila [671]

The ratio is 2:3 for the side lengths of the triangles.

so 6:9 is one side and 5:x would be the other side

2/3 of five is 3.33 and multiplying that by 2 gives you 6.67

4 0

3 years ago

Help it’s jut graded just practice

kenny6666 [7]

Answer:

90 degrees

Step-by-step explanation:

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5 0

3 years ago