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2 years ago

PLEASE HELP ME Find the area of the circle. Round your answer to the nearest hundredth.

Mathematics

1 answer:

krek1111 [17]2 years ago

5 0

Answer:

The area is about 10 in.

Step-by-step explanation:

3 x 3 = 9 rounded to 10

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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

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A net of a building block is shown below. What is the total surface area of the building block? *

777dan777 [17]

Answer:

where

Step-by-step explanation:

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2 years ago

2c divided by 3b, for b=2 and c=6

Levart [38]

(2c) / (3b)

(2*6) / (3*2) =
12/6 =
2 <===

8 0

3 years ago

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Which of the following situations represents a proportional

Mamont248 [21]

The answer is that be C.

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3 years ago

A video game store made a display of game console boxes show at the right. the length, width and high of each game console box i

mihalych1998 [28]

Volume=length*width*height V=2*2*2 or V+2^3 V=8 The volume of the display is 8 cubic feet

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3 years ago