What is the number of cycles of y=9cos(θ/4+3π/2)+4 between 0 and 2π?

Choice C) 1/4

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Work Shown:

Let's rearrange terms a bit to say the following:

The last equation is in the form

where,

We only need to worry about the value of B.

In this case, B = 1/4

So,

The period is 8pi. Every 8pi units, a full cycle is completed.

However, we're not going from 0 to 8pi, but instead from 0 to 2pi.

The given interval is 2pi units wide. This is (2pi)/(8pi) = 1/4 of a full cycle. This is why choice C is the answer.

isi

step-by-step explanation:

use that smart brain

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²