A) (+4) + ( - 3) b) (-2) + (-3) c) (+2) + (+4) d) (-6) + (+2)

Hellllllllllp! Someone help

uysha [10]

Answer:

4. (2, 3)

5. (0, 1)

7. (-1, 2)

Step-by-step explanation:

I hope this helps! Have a nice dayy! :)

3 0

3 years ago

Read 2 more answers

Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere

Ket [755]

Answer:

$e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...$

$\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n$

Step-by-step explanation:

Taylor series expansions of f(x) at the point x = a

$\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...$

This expansion is valid only if $\text{f}\:^{(n)}(a)$ exists and is finite for all $n \in \mathbb{N}$ , and for values of x for which the infinite series converges.

$\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1$

$\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...$

$\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}$

$\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4$

$\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4$

$\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4$

Substituting the values in the series expansion gives:

$e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...$

Factoring out e⁴:

$e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]$

Taylor Series summation notation:

$\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n$

Therefore:

$\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n$

7 0

1 year ago

Christian reads 14 book every 23 week. How many books does Christian read per week?

gulaghasi [49]

14/23=0.61
He reads a bit over half a book per week

4 0

2 years ago

Which equation demonstrates the additive identity property?

boyakko [2]

the answer for the question is b! :)

3 0

3 years ago

Myra wrote a computer program that had 75 lines of code. She realized that she could make the code more efficient and removed 20

jeka94

Answer:

Now Myra has 60 lines of code, no grid picture attached.

Step-by-step explanation:

If Myra removed 20% of the lines and she started with 75 lines of code, then she is removing 1/5 of those lines of code.

75 divided by 5 is 15, and 75 - 15 = 60

Now Myra would have 60 lines of code. It's unclear what grid you are talking about though - could you attach a picture of the grid you need to shade in?

8 0

3 years ago

A)(+4) + ( - 3)b) (-2) + (-3)c)(+2) + (+4) d) (-6) + (+2) ​

A)(+4) + ( - 3)b) (-2) + (-3)c)(+2) + (+4) d) (-6) + (+2)