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2 years ago

Pennsylvania has a land area of 44,816 spaure miles

Mathematics

1 answer:

REY [17]2 years ago

4 0

What are you trying to figure out?
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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

Which undefined geometric term is described as a location on a coordinated plane that designated by an ordered pair,(x,y)?

zepelin [54]

undefined slope = (16,3), ( 16, -80)

4 0

3 years ago

Read 2 more answers

Plzz help and explain

Mumz [18]

The height is 5 and 1/4 then the base is 2 and 1/2

You can convert these fractions into decimals and them multiply them to get your area.

6 0

2 years ago

What could be the 4 angle measures of a quadrilateral

Natalka [10]

Answer:

Step-by-step explanation:

60°+75°+105°+120°=360°

[Sum of 4 angles of a quadrilateral is 360°]

5 0

3 years ago

I need help with my math

natulia [17]

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

The graph provided suggests the use of the points (3,-3) and (5,-3). The slope is:

$\displaystyle m=\frac{-3+3}{5-3}=\frac{0}{2}=0$

The slope of the line is 0. It corresponds to a horizontal line

6 0

1 year ago