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natulia [17]
3 years ago
9

What is the domain if the function? Interval Notation.Thank you for the help!​

Mathematics
1 answer:
kramer3 years ago
5 0
Interval notation:

−
∞
,
−
2
)
∪
(
−
2
,
2
)
∪
(
2
,
∞
)

Hope this help I haven’t done this in awhile
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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview
Karolina [17]

Answer:

y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

(5D^{2}+3D-2)y(t)=0

Solving for complementary function we have Roots of (5D^{2}+3D-2) as follows

(5D^{2}+5D-2D-2)

5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5

Thus the complementary function becomes

y=y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}

where

m_{1},m_{2} are calculated roots

thus solution becomes

y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}

Now to solve for the coefficients we use the given boundary conditions

y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}

hence the solution becomes

y=-2e^-{t}+2e^{\frac{2}{5}t}

8 0
3 years ago
Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]
snow_lady [41]

The value of the length DF is 17

<h3>How to determine the length DF?</h3>

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

Read more about congruent triangles at:

brainly.com/question/1675117

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2 years ago
Please answer due today (one question) Algebra and WILL GIVE BRAINLEST!!!
chubhunter [2.5K]

180(6 - 2) = 720

4x + 180 = 720

4x = 630

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S = 720

X = 157.5

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3 years ago
How would you represent the expression 36 – 3(4) on the number line shown?
zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

5 0
3 years ago
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What is the first step to solve this equation 4m=44
son4ous [18]

Answer: H

The first step is dividing 4 from both sides to find what m equals. By the way, its the <u>only</u> step :D

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