Consider the equation d 2 dt2 + k m y = 0 for the motion of a simple harmonic oscillator. (a) Consider the function y(t) = cos βt. Under what conditions on β is y(t) a solution to the differential equation? (b) What initial condition (t = 0) in the yv-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution? (d) Sketch the solution curve in the yv-plane that corresponds to this solution.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

1,8,15,22,29,36,43,50

step-by-step explanation:

answer: 30

step-by-step explanation: its 30 because im a basketball player and stephen curry hits most of his shots so if you put 30 you might make the shot goodluck