All categories

3 years ago

Consider the function f(x)=6x+5 (A) find it’s average rate of change by changing x=1 to x=5

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

8 0

Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

You might be interested in

F(x) = 3x + 12, g(x) = 3x - 1; = = Find (fºg)(x).

MissTica

$\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)$

3 0

2 years ago

1. What is the slope between the points (2,-5) and (8,3)? * Show work please

hjlf

Answer:

$\sf m = \dfrac{4}{3}$

Step-by-step explanation:

Given, $\sf (x_1, ~ y_1)$ = (2, -5) and $\sf (x_2, ~ y_2)$ = (8, 3)

The slope formula is, $\sf m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$\sf m = \dfrac{3 - (-5)}{8 - 2}$

$\sf m = \dfrac{8}{6}$

$\bf m = \dfrac{4}{3}$

6 0

2 years ago

Can I get help with finding the Fourier cosine series of F(x) = x - x^2

trapecia [35]

Assuming you want the cosine series expansion over an arbitrary symmetric interval $[-L,L]$ , $L\neq0$ , the cosine series is given by

$f_C(x)=\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos nx$

You have

$a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx$
$a_0=\dfrac1L\left(\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{x=-L}^{x=L}$
$a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)$
$a_0=-\dfrac{2L^2}3$

$a_n=\displaystyle\frac1L\int_{-L}^Lf(x)\cos nx\,\mathrm dx$

Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

$\displaystyle\int(x-x^2)\cos nx\,\mathrm dx=\frac{(1-2x)\cos nx}{n^2}-\dfrac{(2+n^2x-n^2x^2)\sin nx}{n^3}$

and so

$a_n=-\dfrac{4L\cos nL}{n^2}+\dfrac{(4-2n^2L^2)\sin nL}{n^3}$

So the cosine series for $f(x)$ periodic over an interval $[-L,L]$ is

$f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx$

4 0

3 years ago

Which unit is not a customary unit? A. gallon B. ounce C. gram D. cup

SOVA2 [1]

Answer:

D.Cup

Step-by-step explanation:

We humans do not use the term Cup anymore. We now use things like Grams,Ounces,Gallons,Or Quarts.

3 0

3 years ago

Square GYTD has vertices G(−4,3) , Y(0, 3) , T(0,−1) and D(−4,−1) . Square GYTD is translated 2 units left and 2 units up to

Sliva [168]