18. A mechanical or electrical system is described by the differential equation y + ω2y = f(t). Find y if f(t)= 1,0 a separately, remembering that f(t) = 0 for t > a. Show that 8>< 1 (1−cosωt), t: 1 [cosω(t−a)−cosωt], t>a. ω2 Sketch the motion if a = 1 T where T is the period for free vibrations of the system;

whatvare the choices

step-by-step explanation:

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).