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maria [59]
3 years ago
14

Write the given second order equation as its equivalent system of first order equations. u″+5u′+4u=0 u″+5u′+4u=0 use vv to repre

sent the "velocity function", i.e. v=u′(t)v=u′(t). use vv and uu for the two functions, rather than u(t)u(t) and v(t)v(t).
Mathematics
1 answer:
laila [671]3 years ago
8 0

v = u', so v' = u'' and the original equation can be written

... v' + 5v + 4u = 0

Then the system of first-order equations is

... u' = v

... v' = -5v -4u

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|x−y+z|, if x=3; y=−2; z=−6
Finger [1]

Answer:

1

Step-by-step explanation:

Try the question without the absolute value brackets first.

Then it would be 3+2-6

Since it states "x-y" and y is -2, then it would be 3+2 since a negative times a negative becomes a positive

Same thing for "z", instead of +6 it would be -6 because a negative times a positive is still a negative

Now, 3+2-6 is -1 but MAKE SURE to put the absolute value brackets back. Making the answer a positive number. Therefore, it would be 1

3 0
3 years ago
If 0 < x < 1 and 0 < y < 1, which of the following must be true?
katovenus [111]
0<x<1 and 0<y<1

x>0 so x is positive and y>0 so y is also positive.
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xy>0 - it must be true
xy<0 - it can't be true
Also when you divide a positive number by a positive number you always get a positive number, so the quotient of x and y must be positive.
x/y<0 - it can't be true
D and E can be true, but don't have to. It depends on the values of x and y. If x>y, then x-y>0 is true and x-y<0 isn't true; if x<y, then x-y>0 isn't true and x-y<0 is true.

Therefore, only A <u>must</u> be true.
3 0
3 years ago
Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}
timurjin [86]

Answer:

c) 1,381.5.

Step-by-step explanation:

First term = 3.1 *1 - 2 = 1.1

2nd term = 3.1*2 - 2 =  4.2

3rd term = 3.1*3 - 2 = 7.3

so the common difference d = 3.1.

S30  = (30/2) [ 2* 1.1 + (30-1) * 3.1)]

= 1,381.5.

3 0
2 years ago
What is the measure of angle BJL
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Its f ok i hope it helps
6 0
3 years ago
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Masteriza [31]

Answer:

Step-by-step explanation:

Twice the serving of mashed potatoes is 2 x 10 = 20

If y is the number then y < 20

7 0
2 years ago
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