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natka813 [3]
3 years ago
14

A = {1, 3, 5, 7, 9}

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

The upside down U means the numbers the sets have in common.

Do what is in parenthesis first:

(B ∩ C) = 6 is the only common number in set B and Set C.

A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).

The answer would be A) {1, 3, 5, 6, 7, 9}

Zielflug [23.3K]3 years ago
5 0

The intersection of two sets is a new set that contains all of the elements that are in both sets

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

Set B and C has 6 in both sets

B ∩ C = {6}

A ∩ (B ∩ C) = {}

Answer: C) {}

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Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.
Llana [10]

Answer:

Step-by-step explanation:

\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t} where f(x) is replaced by y

Take Laplace on both sides

s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) =  \frac{10}{s+2}\\Y =  \frac{10}{(s+2)(s+4)(s+8)}

We can resolve into partial fraction to get Y = L(y)

Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

s=-9

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Taking inverse Laplace

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6 0
3 years ago
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klasskru [66]

Answer:

Step-by-step explanation:

aww im sorry i dont no i wish i knew but you dont need to give me anything im stupid

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Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
Cloud [144]

Answer:

y=0.3x

Step-by-step explanation:

Formula = K=\frac{y}{x}

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

4 0
2 years ago
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