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Rudik [331]
3 years ago
10

I need help ASAP it’s due at 12:30am

Mathematics
2 answers:
AnnZ [28]3 years ago
6 0
1444 that is it ok my friend
Romashka [77]3 years ago
5 0
144 is the answer...........
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Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

with roots at r=-2\pm7i. Then the characteristic solution is

x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
Cube roots of 1 are +1 and -1 (true and false)​
mario62 [17]

False cube root of 1 is plus 1 only.

7 0
3 years ago
Can someone help me with questions 20 and 21? Questions 21 has part A and B by the way! I’ll appreciate the help!
viktelen [127]

Answer:

1) 68+28 = 96 cards

2) 278.32 - 3698 is a question that gives a negative answer

   We rewrite as;

    278.32

-  3698,00 =  see 78.32 - 98.00 turns to -19.68 and 200 - 3600 = -3400

 -  3400 -+19.68 = -  3419.68

We add the last bit as it is the remainder of 3400 if done separately.

2b) With adding both numbers  278..32 + 3698 = 3976.32

8 0
3 years ago
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
anzhelika [568]

Answer:

B. 2 to the 6th power

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
50 points for this
KonstantinChe [14]
In mathematics, a piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.


Examples: we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1

Mark brainliest please

Hope this helps you
8 0
3 years ago
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