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DochEvi [55]
3 years ago
12

Write this second order differential equation as a first order matrix-vector system of differential equations. Show your work in

detail. Now, suppose the front left portion of your vehicle drifts off a curb of height 0.15 meters without an initial velocity. Write an appropriate initial condition using proper notation describing this event and pair it with your first order system.

Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

See explaination

Step-by-step explanation:

To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.

please kindly see attachment for the step by step solution of the given problem.

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Find the unknown side length x write your answer in simplest radical form
Sauron [17]

Answer:

(B)4\sqrt{37}

Step-by-step explanation:

First, we determine the height of the triangle which we label as y.

Using Pythagoras Theorem.

25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24

In the smaller right triangle with hypotenuse, x

Base = 7-3 =4 Units

Height, y= 24 Units

Therefore, applying Pythagoras Theorem.:

x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}

5 0
3 years ago
(PLEASE HELP FAST) What does the y-intercept of this relationship represent?
adelina 88 [10]

Answer:what does the graph look like

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Mr. Weiss is ordering parts for his wheelchair on the Internet. The website is offering 15% off orders over $250.
aleksandrvk [35]

Answer:

$230.65

Step-by-step explanation:

$179 marked down by 35 % = $116.35

computer mount= $99

cell holder= $56

total= $271.35

marked down by 15% = $230.65 (230.6475)

6 0
3 years ago
5•x+5 - (5x + 25)
sukhopar [10]
Ok, so you have your equation, 5·x+5-(5x+25).
First, do the prathases, so you have, 5x+5-5x-25.(5·x also means 5x)
Now, you need to combine like terms, and through that the xs cancel out, so you are left with -20 as you answer.
3 0
2 years ago
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The height of a punted football can be modeled by the function: f(x) = -.0079 x2 + 1.8x + 1.5. In this equation, f(x) is the hei
mars1129 [50]

Answer:

Step-by-step explanation:

The function used to represent the height of a punted football can be modeled as

f(x) = -.0079x² + 1.8x + 1.5

Where f(x) is the height in feet, and x is the horizontal distance, also in feet.

a) when the ball was punted, x = 0, therefore, the height of the punted ball would be

f(x) = -.0079(0)² + 1.8(0) + 1.5

f(x) = 1.5 feet

The height is 1.5 feet

b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = - 0.0079

b = 1.8

Vertex = - - 1.8/0.0079 = 227.84 feet

So the maximum height of the punt is 227.84 feet

3 0
3 years ago
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