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mart [117]
3 years ago
14

HELP PICTURE IS SHOWN

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
Its A because my class is litterally studing that now

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Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
What is 825x92. (just practice for 25 points)
Leno4ka [110]
75900 is your answer.
6 0
3 years ago
Read 2 more answers
Plz help it’s due tonight!!!
Nataliya [291]
LKM≈TEJ since it makes the triangles congruent, although the angles in each triangle are not corresponding equal angles
5 0
3 years ago
What is the equation of a line with a x-intercept of −2 and a y-intercept of 10?
IceJOKER [234]

Hey there! :)

Answer:

y = 5x + 10

Step-by-step explanation:

From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the points:

m= \frac{10 - 0}{0 - (-2)}

Simplify:

m= \frac{10}{2}

m = 5.

The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:

y = 5x + 10 is the equation written in slope-intercept form.

8 0
3 years ago
Read 2 more answers
Estimate Four over five subtracted by 1/2
Valentin [98]

Answer:

Exact form : 3/10

Decimal form : 0.3

Step-by-step explanation: To subtract fractions, find the LCD (Least Common Denominator) and then combine.

Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you out! ☺

-Karleif Jonsi-

3 0
3 years ago
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