3 years ago

Simplify (X-4+2i)(x+5-3i)

Mathematics

1 answer:

iogann1982 [59]3 years ago

6 0

Use distributive property
x^2+x-14+(-x+22)i

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marin [14]

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Step-by-step explanation:

First find the absolute value of the numbers then apply the signs.

The absolute value of -5 is 5

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Kobotan [32]

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draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form

agasfer [191]

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Step-by-step explanation:

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3 years ago

Suppose that f(1=9, f(4=?3, f?(1=9, f?(4=?5, and f?? is continuous. find the value of ?41xf??(xdx.

Over [174]

Some characters in your question are not displayed properly, so I'm guessing at what it says.

"Suppose that $f(1)=9$ , $f(4)=-3$ , $f'(1)=9$ , $f'(4)=-5$ , and $f''$ is continuous. Find the value of $\displaystyle\int_1^4xf''(x)\,\mathrm dx$ ."

(Correct me if I'm wrong!)

Integrate by parts, letting $u=x$ and $\mathrm dv=f''(x)\,\mathrm dx$ , so that $\mathrm du=\mathrm dx$ and $v=f'(x)$ . Then you have

$\displaystyle\int_1^4xf''(x)\,\mathrm dx=xf'(x)\bigg|_{x=1}^{x=4}-\int_1^4f'(x)\,\mathrm dx$

Integrating once more gives

$\displaystyle\int_1^4xf''(x)\,\mathrm dx=xf'(x)\bigg|_{x=1}^{x=4}-f(x)\bigg|_{x=1}^{x=4}$
$=(4f'(4)-1f'(1))-(f(4)-f(1))$
$=(-20-9)-(-3-9)=-17$

8 0

3 years ago