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3 years ago

The Armer Company is accumulating data to be used in preparing its

Mathematics

1 answer:

sleet_krkn [62]3 years ago

7 0

Answer:

Step-by-step explanation:

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50 pts

ki77a [65]

The cylinders surface area is 104.8 cm

6 0

3 years ago

(1 pt) Let an=n+1n+3. Find the smallest number M such that: (a) |an−1|≤0.001 for n≥M M= 1997 (b) |an−1|≤0.00001 for n≥M M= 20000

xenn [34]

We want to prove

$\displaystyle\lim_{n\to\infty}\frac{n+1}{n+3}=1$

which is akin to saying that, for any given $\varepsilon>0$ , we guarantee that

$\left|\dfrac{n+1}{n+3}-1\right|$

for all $n$ exceeding some threshold $N=N(\varepsilon)$ .

We want to end up with

$\left|\dfrac{n+1}{n+3}-1\right|=\left|-\dfrac2{n+3}\right|=\dfrac2{n+3}$

$\implies\dfrac{n+3}2>\dfrac1\varepsilon\implies n>\dfrac2\varepsilon-3$

which suggests that we guarantee that $a_n$ is arbitrarily close to 1 if $N=\left\lceil\dfrac2\varepsilon-3\right\rceil$ . (Take the ceiling to ensure $N$ is a natural number.)

Now for the proof: Let $\varepsilon>0$ be given. Then for $n>N=\left\lceil\dfrac2\varepsilon-3\right\rceil$ we have

$n>\left\lceil\dfrac2\varepsilon-3\right\rceil\le\dfrac2\varepsilon-3\implies\dfrac2{n+3}$

QED

3 0

4 years ago

Which is the inverse of the function f(x) = 4x2

Sholpan [36]

Answer:

$\sqrt{\frac{x}{4}}$ and $-\sqrt{\frac{x}{4}}$

Step-by-step explanation:

The function is given as $f(x)=4x^2$

to find inverse, we follow the steps shown below:

1. write "y" in place of "f(x)"

2. interchange "x" and "y"

3. solve for the new "y"

4. replace y with f^-1(x)

Let's do this:

$f(x)=4x^2\\y=4x^2\\x=4y^2\\y^2=\frac{x}{4}\\y=+-\sqrt{\frac{x}{4}}$

These 2 are the inverse functions.

3 0

3 years ago

Read 2 more answers

Which relation is a function ?

Mashcka [7]

The second choice is not a relation.

The first and third choices have multiple (input, output) pairs that have the same input. Such a relation is not a function. Any time you see this, you know the relation is NOT a function.

The best answer is the 4th choice ...

... {(0, -9), (-9, 0), (-3, -3)}

8 0

3 years ago

Read 2 more answers

The graph below represents the parabolic path of a ball kicked by a young child. What are the vertex and the axis of symmetry fo

Lynna [10]

Answer: A!!

Step-by-step explanation:

i just got it right lol

4 0

3 years ago