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3 years ago

Which is the graph of the solution set of 5x + 8y > 50?

Mathematics

2 answers:

jasenka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

77julia77 [94]3 years ago

7 0

Answer:

It is C Or the Third Graph

Step-by-step explanation:

correct answer for edge 2020

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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

2 years ago

How many pounds go into 2. 5 tons

daser333 [38]

2.5 tons = 5000 pounds

3 0

3 years ago

Please help me out with these 2 questions! Legit answers only please!

geniusboy [140]

Answer:

1.) 12 hours 2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

First, let's find the slope of this equation:

m = 135 - 81 / 5 - 3

m = 54/2

m = 27

Therefore, the equation should be y = 27x.

Now we substitute 324 for y and solve for x:

324 = 27x

12 = x (Divided 27 on both sides.)

Therefore, someone would have to work 12 hours in order to earn $324.

2.)

For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.

5 0

3 years ago

I need Help!! Please Help me!! I will give Brainliest!!!

IrinaK [193]

Answer:

1. 150% 2. 14%

Step-by-step explanation:

4 0

3 years ago

Elizabeth is a manager at a nursery and is in charge of displaying potted trees in rows. Elizabeth has 330 citrus trees and 180

raketka [301]

Answer: 30 trees

Step-by-step explanation:

Elizabeth has 330 citrus trees and 180 palm trees

The largest number of trees that she can have in a row will base on the highest common factor between the two number of trees

330 = 2 × 3 × 5 × 11

180 = 2 × 2 × 3 × 3 × 5

HCF = 2 × 3 × 5

HCF = 30

The largest number of trees that she can have in a row is 30 trees.

8 0

3 years ago