Rockfalls can cause major damage to roads and infrastructure. To design mitigation bridges and barriers, engineers use the coeff
icient of restitution to model the behavior of the rocks. The rock A falls a distance of 32 m before striking an incline with slope α = 40°. Knowing that the coefficient of restitution between A and the incline is 0.2, determine the velocity of the rock after the impact.
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Answer:
prove that | S | = | E | ; every element of S there is an Image on E , while not every element on E has an image on S
Explanation:
Given that S = { p q |p, q are prime numbers greater than 0}
E = {0, −2, 2, −4, 4, −6, 6, · · · }
To prove by constructing a bijection from S to E
detailed solution attached below
After the bijection :
<em>prove that | S | = | E |</em> : every element of S there is an Image on E , while not every element on E has an image on S
∴ we can say sets E and S are infinite sets
