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3 years ago

20，I am not sure how to do it

Mathematics

1 answer:

professor190 [17]3 years ago

5 0

Given:
f(x) = x^4 - x

g(x) = x^4 (even)
h(x) = -x (odd)

f(x) as a sum of an even function and an odd function

f(x) = g(x) + h(x)

s(x) = 1 / (x^4 - x)

s(x) as a sum of an even function and an odd function

s(x) = 1 / [g(x) + h(x)]

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If y varies directly as x and y=12 when x=c what is y in terms of c when x=8

tatiyna

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you do not know what k is yet, other than that it is some constant number.

Now plug in the given values, y=12 when x=4, in the equation

12 = 4k

=> k = 3

Now rewrite the equation with the k value you just found

y = 3k

Substitute 18 in place of x

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3 years ago

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3 years ago

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timurjin [86]

Answer:

see below

Step-by-step explanation:

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PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

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