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natali 33 [55]
3 years ago
15

GUYS PLEASE HELP ME ASAP HELP ME HELP ME!!!!!

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

44+3x

Step-by-step explanation:

7^2+2^2-5-4+3x

Do exponents

49+4-5-4+3x

Do addition and subtraction from left to right

53-5-4+3x

48-4+3x

44+3x

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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
What is the surface area of the rectangular prism below?
Andrew [12]

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2

5 0
3 years ago
Solve for x: −3|2x + 6| = −12
spayn [35]

Start with

-3|2x+6|=-12

Divide both sides by -3

|2x+6|=4

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

2x+6=4 \iff 2x=-2 \iff x=-1

2x+6=-4 \iff 2x=-10 \iff x=-5

8 0
4 years ago
How do you find a percentage of a number? (besides )
Vsevolod [243]
In order to find a percentage, you divide the sample by the total amount.

For example: Tess has 3 cookies out of the total amount of 9. 3/9 = 33.3%
6 0
4 years ago
Read 2 more answers
Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2
Neko [114]
Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8)  m(slope)=-1/3
8=1(-1/3)+b

Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3

Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3
5 0
3 years ago
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