X f(x) -2 -1/200 -1 -1/20 0 -1/2 1 -5 2 -50

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

9514 1404 393

Answer:

f(x) = -1/2·10^x

Step-by-step explanation:

The y-intercept is -1/2.

The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...

f(x) = -1/2·10^x

You might be interested in

Graph of g(x) = x2 − 5

Brut [27]

Answer: 6rx = x^2 -5

8 0

2 years ago

Use a known maclaurin series to obtain the maclaurin series for the given function. f(x = 8x2 tan?1(7x3

11Alexandr11 [23.1K]

Going out on a limb here and guessing that the function is

$f(x)=8x^2\tan^{-1}(7x^3)$

Please correct me if this isn't the case.

Recall that

$\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^nx^{2n+1}}{2n+1}$

which converges for $|x|$ .

It follows that

$8x^2\tan^{-1}(7x^3)=8x^2\displaystyle\sum_{n\ge0}\frac{(-1)^n(7x^3)^{2n+1}}{2n+1}$
$=\displaystyle\sum_{n\ge0}\frac{56(-49)^nx^{6n+3}}{2n+1}$

6 0

3 years ago

A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$