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Agata [3.3K]
3 years ago
14

Please help me thank u

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0
Y= negative 4
35th term negative 45 :)
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Laplace Transform f(t) = cos(t), 0 ≤ t < π 0, t ≥ π Complete the integral(s) that defines ℒ{f(t)}. ℒ{f(t)} = π dt + [infinity
tensa zangetsu [6.8K]

Answer:

L[f(t)=s/(1+s^2)]

Step-by-step explanation:

The Laplace Transform is given by the integral:

L[f(t)]=\int_0^\infty e^{-st}\ f(t)dt

by replacing f(t)=cost we get

\int_0^{\infty} e^{-st}costdt=[e^{-s(\infty)}sin(\infty)-1sin(0)]-s\int_{0}^{\infty}e^{-st}sintdt\\\\=0+s[-e^{-s(\infty)}cos(\infty)+e^{s(0)}cost(0)-s\int_0^{\infty}e^{-st}costdt]\\\\=0+s[0+1-s\int_0^{\infty}e^{-st}costdt]=s-s^2\int_0^{\infty}e^{-st}costdt\\\\(1+s^2)\int_0^{\infty}e^{-st}costdt=s\\\\\int_0^{\infty}e^{-st}costdt=\frac{s}{1+s^2}

hope this helps!!

6 0
4 years ago
Three singers are chosen at random from a group of 5 Chinese, 4 Indians and 2 British singers.
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6 0
3 years ago
What is 7n+6=4n-9. can someone help plz
xz_007 [3.2K]
7n +6= 4n -9
7n-4n= -6 -9
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7 0
3 years ago
I need help on this and D is y+4=2(x+1)
kodGreya [7K]

Answer:

A; y- 4 = -2(x + 1)

Step-by-step explanation:

Here, we want to find the equation of the given line

The general form

is ;

y = mx + c

c is the y-intercept which is 2

So we have

y = mx + 2

The x-intercept where y = 0 is 1

Thus;

0 = m(1) + 2

0 = m + 2

m = -2

So the equation of the line is

y = -2x + 2

We can rewrite this in the point-slope form as:

y - 4 = -2(x + 1)

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3 years ago
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Answer:

All real numbers

Step-by-step explanation:

 

5 0
3 years ago
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