CEN 100 Lecture 1: CEN 100 WEEK 1

When Dr. Hewitt releases the two projectiles, which one hits the ground first?

1. The ball that goes horizontally hits the ground first.

2. The ball that drops vertically hits the ground first

3. Both balls will hit the ground at the same time.

4. None of these

Let
H = {f : R → R | f(x) = ax + b; a, b ∈ R; a > 0}.
H1 = {f : R → R | f(x) = ax; a ∈ R; a > 0}.
H2 = {f : R → R | f(x) = x + b; b ∈ R}.
(a) Prove that H1 and H2 are subgroups of H.
(b) Determine whether each is a normal subgroup of H.

b. If all elements are resistors in such a way that element A has resistance  

    has and similarly for all elements. What would be the value of the equivalent resistance in terms of and