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2 years ago

Graph f(x) =x and g(x) =-1/3x+2

1 answer:

3 0

Hello! I'll write the instructions to graph these functions.

f(x)=x
Technically, this function is y=x, so the slope would be 1. To graph this one, start at the origin (0,0) and move up one unit, and to the right one unit since this is a positive slope.

g(x)= -1/3x+2
First, plot a point at y=2 when x=0. 2 is your y-intercept. Your slope is negative, so the line will be decreasing. From your first point, head down 1 unit and to the right 3 units. Continue plotting points from the previous points.

Also, if you have a graphing calculator, here are the steps to graphing the functions: ON, Y= (enter your functions), and press GRAPH or 2nd, TABLE to see individual points. Hope this helps! :)

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Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. do n

Nady [450]

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

The maclaurin series for f(x) is defined by the following formula:

$f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}$ --------------(1)

Where $f^{i}$ is the i - th derivative of the function

If f(x) = $e^{-6x}$ , then the formula of the i - th derivative of the function is:

$f^{i} =(-6)^{i} .e^{-6x}$ ----------------------(2)

Then,

$f^{i}(0) = (-6)^{i}$

Lastly, the equation of the trascendental function by Maclaurin series is: $f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ ---------------(3)

Hence,

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

Find out more information about maclaurin series here

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1 year ago

A particular Algebra text has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more page

Sav [38]

627 and I need to hit 20 characters and ur welcome

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2 years ago

The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the

Alika [10]

B
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3 years ago

Anybody know the correct answer to this?

Digiron [165]

$A=\{x|x=3n,\ n\in\{2,\ 3,\ 4\}\}=\{(3)(2),\ (3)(3),\ (3)(4)\}=\{6,\ 9,\ 12\}\\\\B=\{x|x=4m-3,\ m\in\{1,\ 2,\ 3\}\}\\=\{(4)(1)-3,\ (4)(2)-3,\ (4)(3)-3\}=\{1,\ 5,\ 9\}\\\\A\ \cap\ B=\{9\}$

Answer: 9

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2 years ago

The senior class at Bay High School buys jerseys to wear to the football games.

marta [7]

Answer:

52 jerseys

Step-by-step explanation:

Equate the equation to 430; 430 = 0.1x^2 + 2.4x + 25

I used calculator for this part, shift + solve (it depends on ur calcu)

And I got 52.761. Since you cannot have .761 jersey I rounded it down.

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2 years ago