Math

Advanced MathQ&A LibraryFor the following collection of sets, define a set An for each n an element of N such that the indexed collection {An}n an element of N is precisely the given collection of sets. Then find both the union and intersection of the indexed collection of sets. {(-1, 2), (-3/2, 4), (-5/3, 6), (-7/4, 8), . . .}Question

For the following collection of sets, define a set A_{n} for each n an element of N such that the indexed collection {A_{n}}_{n an element of N} is precisely the given collection of sets. Then find both the union and intersection of the indexed collection of sets.

{(-1, 2), (-3/2, 4), (-5/3, 6), (-7/4, 8), . . .}

Tagged in

Find answers to questions asked by students like you.

Q: Prove that Q(3^(1/3), sqrt(3))= Q(3^(1/6)), where Q is the set of all rational numbers.

A: First observe that,

Q: For an initial investment of 100, an investment yields returns of Xi at the end of period i for i=1...

A: Given that, the initial investment is 100 and the investment yield is X1 and X2 at the end of period...

Q: 3. Suppose {fa) is an equicontinuous sequence of functions on a compact set K, and U.) converges poi...

A: Click to see the answer

Q: Prove: If A and B are n x n matrix and A is inventively, then det(A^-1 BA)= det(B)

A: To prove the result, use the following formulas for any two m x m matrices X and Y:

Q: Let S, T, and R be sets. Assume that f: S-» T, and g: T -» R are maps Assume that gf is onto. Does f...

A: Assume that gf: S→R is onto,Then, by the definition of onto:

Q: Use the Laplace transform to find the solution to the given initial value problem. Please refer to ...

A: Consider the given initial value problem:

Q: Two fair dice are rolled and the sum of their up faces are noted. What is the probability that the s...

A: To work out the probability of the required event in the rolling of two fair dice

Q: Let ϕ : F → R be a ring homomorphism from a field F into a ring R. Prove that if ϕ ( a ) = 0 for so...

A: Consider ϕ : F → R be a ring homomorphism from a field F into a ring R,Since, ϕ ( a ) = 0 for some ...

Q: Use the definition of Laplace Transforms to show that:

A: Given:The laplace transformation,