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Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

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Step-by-step explanation:

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.

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If g(x)= x+1 and h(x) = 4 – x, what is the value of (9.0) (-3)?

konstantin123 [22]

Answer:it’s b

Step-by-step explanation:

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2 years ago

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

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