Let A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b)  A ✕ B, p1(a, b) = a and p2(a, b) = b. (a) Find p1(4, y) and p1(7, x) What is the range of p1? (Enter your answer in set-roster notation.) (b) Find p2(4, y) and p2(7, x). What is the range of p2? (Enter your answer in set-roster notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Let A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b)  A ✕ B, p1(a, b) = a and p2(a, b) = b.

(a) Find p1(4, y) and p1(7, x)

What is the range of p1? (Enter your answer in set-roster notation.)

(b) Find p2(4, y) and p2(7, x).

What is the range of p2? (Enter your answer in set-roster notation.)

Let A = {4, 5, 7} and B = {x, y}. Let p, and p, be the projections of A x B onto the first and second coordinates. That is, for each pair (a, b) E A × B, p,(a, b) =
and p,(a, b) = b.
(a) Find p, (4, y) and p,(7, x).
P1(4, y)
PĄ(7, x) =
What is the range of p,? (Enter your answer in set-roster notation.)
(b) Find p,(4, y) and p,(7, x).
P2(4, y) =
P2(7, x) =
What is the range of p,? (Enter your answer in set-roster notation.)
Transcribed Image Text:Let A = {4, 5, 7} and B = {x, y}. Let p, and p, be the projections of A x B onto the first and second coordinates. That is, for each pair (a, b) E A × B, p,(a, b) = and p,(a, b) = b. (a) Find p, (4, y) and p,(7, x). P1(4, y) PĄ(7, x) = What is the range of p,? (Enter your answer in set-roster notation.) (b) Find p,(4, y) and p,(7, x). P2(4, y) = P2(7, x) = What is the range of p,? (Enter your answer in set-roster notation.)
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