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Lunna [17]
3 years ago
15

Help me please if you can i need too get these done and catch up

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

well well well it seems we meet again

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A traintravels 200 kilometers in 2.5 hours. whatis the trains average speed per hour
marusya05 [52]
I think it may be 80 km/h?
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3 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
2 years ago
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This so fking confusing
love history [14]

Answer:

m

Step-by-step explanation:

m

8 0
3 years ago
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There are ___ questions on the ACT math test,<br> А. 75<br> В. 100<br> С. 80<br> D. 60
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The answer is: D) 60

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The anwser to the problem is C.

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