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Stels [109]
2 years ago
15

Chu kỳ của hàm số y=sin 4 là:

Mathematics
1 answer:
devlian [24]2 years ago
5 0
Tính bằng công thức 2pi/|b| => 2pi/|4|=>chu kì : pi/2
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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
2 years ago
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3 years ago
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LABC measures 90° and ZABD measures<br> 25. What is the measurement of ZDBC?
makkiz [27]

Answer: The measurement of angle DBC is 65 degrees

Step-by-step explanation:

Line BD splits ABC into two angles ABD and DBC.

If ABC is 90 then the measures of ABD + DBC will be 90. Since we know the measure of ABD we can make this equation and solve it

90=25+x\\90-25=25+x-25\\65=x

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3 years ago
5 more than the product of 4 and some number is equal to 33
gregori [183]

Answer:

33 = 4x + 5

Step-by-step explanation:

If you convert this expression into numbers, it would be 4 times the number x plus 5 is equal to 33.

Hopefully this helps! Let me know if you have any questions!

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2 years ago
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What is %90, percent of 20?
Nonamiya [84]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
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