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zmey [24]
3 years ago
9

Identify terms and factors: - 4x + 2x2y​

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0
There are 2 terms


a term is separated by a +/- sign or a letter of the alphabet
DedPeter [7]3 years ago
4 0

Answer:

=2x2y−4x

Step-by-step explanation:

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Please help me with the below question.
Snezhnost [94]

6a. By the convolution theorem,

L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}

6b. Similarly,

L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}

7. Take the Laplace transform of both sides, noting that the integral is the convolution of e^t and f(t).

\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau

\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)

where g(t) = e^t. Then G(s) = \frac1{s-1}, and

F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}

We have the partial fraction decomposition,

\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)

Then we can easily compute the inverse transform to solve for f(t) :

F(s) = -\dfrac1s + \dfrac4{s+3}

\implies \boxed{f(t) = -1 + 4e^{-3t}}

6 0
1 year ago
A decimal that is equal to the fraction 3/5?
aleksandrvk [35]

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

5 0
2 years ago
Read 2 more answers
How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?
Ede4ka [16]
The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.

an = 7373
a1 = 1313
d = 303

an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21

So, there are 21 terms in the sequence given.

3 0
3 years ago
In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How m
ziro4ka [17]
I think it’s B not sure tho
7 0
3 years ago
Read 2 more answers
02-3+30-8+p+p
kupik [55]

The constants, -3 and -8, are like terms

The terms 3p and p are like terms

The terms in the expression are p^2, -3, 3p, -8, p, p^3

The expression contains 6 terms.

Like terms have the same variables raised to the same powers.

4 0
3 years ago
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