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3 years ago

PLEASE ANSWERRRRRRRRRRRR

Mathematics

1 answer:

madam [21]3 years ago

6 0

Answer:

Bertha picked up more than anica.

Step-by-step explanation:

10 1/3 = 10.33333 which is greater than anica

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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

2 years ago

What is the perimeter of this red polygon?

Furkat [3]

Answer:

P= 26

Step-by-step explanation:

3 0

3 years ago

Multiples of six and 8

finlep [7]

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,

Step-by-step explanation:

4 0

3 years ago

Vichy reads at a constant rate. She can read 5 pages

vagabundo [1.1K]

Answer:

p = (5t)/9

Step-by-step explanation:

9 mins ---------- 5 pages

1 min -------------5/9 page

t mins ------------5/9 x t pages

Thus

p = (5t)/9

7 0

3 years ago

Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the

earnstyle [38]

Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

8 0

2 years ago