The potential in an electric circuit oscillates according to V(t) = − 5 sin(3t)

Question

The potential in an electric circuit oscillates according to

V(t) = − 5 sin(3t)

with V in volts and t in seconds. Write a formula for the average rate of change of V on the interval

[1, u]. Enter your answer as an algebraic expression. You do not have to simplify.

ΔV

Δt =______________

Answer 1

V(u) = -5 * sin(3u)

V(1) = -5 * sin(3)

Average Potential = [ V(u) - V(1) ] / (u-1)

= [-5 * sin(3u) + 5 * sin(3) ] / (u-1)