5. Given a function f: A → B. Define the relation f from P(A) to P(B) by f = {(X,Y)C P(A) × P(B) | Y = f(X)}. c. Show that if f is onto B, then f is onto P(B).

Q: f,(x)= e* f2(x)=e¯* (x) = e'

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Q: f(ix, λγ) - λκ. f(x, y)

A: Given: fλx,λy=λkfx,y

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Q: 2. Let g : R → R be a bounded function and define f : R\ {0} → R by 1 f(x) = g(x)+ x2 Using only the…

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Q: (a) Prove the following relation: В (x + 1,у): B(x, y) x +y %3D

A: We have give Beta function relation, we have to show left hand side is equal to right hand side.

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A: (x,y) ∈ R × R (x,y) ∈ C means    x2 + y2 =4

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A: x,y ∈R2

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A: Given

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A: The given function is                  f(x) =x2-5   Graph:

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Q: consider a function f:lo 11-» R. and etheruoise iff RELmaan amntegrable DY not A=3+1

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Q: 21.E. Let f be in Class C' on R onto Rº and it true that for each r in R, then Df(x) is a one-one…

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Q: Let X = {x € Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1< 15}. Define a relation R from X to Y…

A: ANSWER ONLY ASAP! What are the elements of the Cartesian product X x Y?

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