Q3. consider the function h (n x n) 5 pts n given by: if mn m, h(m, п) — шах(m, п} if m q3. consider the function h : (n×n) →n given by: [5 pts] h(m, n) = max{m, n} =   m, if m ≥ n n, if m < n that is, h takes two natural numbers as inputs and outputs the one that is larger. also define g : n→ (n×n) to be the function g(k) = (k2,k3).
(a) show that h surjective but not injective. (b) is h◦g surjective? prove your answer. (c) is h◦g injective? prove your answer

the first one

step-by-step explanation:

just id the test.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm