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Vladimir79 [104]
3 years ago
11

If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

(0,-1,2,5)

Step-by-step explanation:

X = (-1, 0, 2)\\Y = (1, 2, 5)\\ \\X U Y = ?\\= (-1, 0,2,5)

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Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

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(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

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By putting the values of A and B in equation (D)

Y= 2e^(5t)

6 0
3 years ago
Consider the region bounded by
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Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx
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To which set or sets below does the number -7/8 belongs to ?
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Answer:

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Step-by-step explanation:

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