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Alenkasestr [34]

3 years ago

7

Fins the product of (3s+2t)(3s-3t)

2 answers:

erastovalidia [21]3 years ago

6 0

Your answer is 9s^2-9st+6st-6t^2

Mamont248 [21]3 years ago

4 0

Do the FOIL method. (F)irst, (O)uter, (I)nner, (Last, In Which you multiply the first set of number and variables in each set, (3s times 3s), the outer set of number and variable in each set, (3s times negative 3t, the inner number and variable in each set,(2t times 3s), and the last ones, (2t times negative 3t).

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Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3

VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

---------------------

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0

3 years ago

Read 2 more answers

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

Please help me with this

Vera_Pavlovna [14]

Answer:

226.19

Step-by-step explanation:

pi * r^2 = area

The radius = diameter/2 = 6

pi * 6^2 * 2 = area of 2 tortillas

72pi = area of 2 tortillas

That rounds to 226.19

3 0

3 years ago

Si: P(x+2) = 2(x+2)^3 + x^2 +4x +4<br> Calcular : P(-4)

Tom [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

Which of the following is not a property of a rectangle

In-s [12.5K]

Answer:

I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.

This seems likely

Please Mark as Brainliest

Hope this Helps

5 0

3 years ago