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CaHeK987 [17]
3 years ago
6

− 4 + 8 [ 4 + 3 ( ( − 7 )^2 + 2 ) ]

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
I looked it up on google it is 1252
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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
3 years ago
Read 2 more answers
Find the volume of the cone ! HELP
stich3 [128]

Answer:

628

Step-by-step explanation:

So the formula is πr^2h/3

So the height is 6

pie is 3.14

Substitute:

3.14(10)^2   6/3

3.14(100)(2)

3.14(200)

628

3 0
3 years ago
What is the pattern in this sequence?<br><br> 0.001,0.01,0.1,1
chubhunter [2.5K]

Answer:

The one moves up a tenth until it gets to 1.

Step-by-step explanation:


8 0
3 years ago
X/14=40/70 Solve the proportion for x.
vodomira [7]

Answer:

8

Step-by-step explanation:

\frac{x}{14}  =  \frac{40}{70}  \\ x =  \frac{40}{70}  \times 14 \\ x =  \frac{40}{10}  \times 2 \\ x = 4 \times 2 \\ x  = 8

3 0
3 years ago
Use the scale factor to find the area of the enlarged figure. Explain your steps.
wariber [46]
Well if you divide 25.6 by 8 and then multiply four by that answer then you have the answer for a, so 4 times 3.2=12.8 , and then you would multiply 25.6 and 12.8 which is 327.68
8 0
3 years ago
Read 2 more answers
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