Consider the waves represented by the following functions. (a) y = 4 sin (3x ? 1

Question

Consider the waves represented by the following functions.

(a) y = 4 sin (3x ? 15t)

(b) y = 6 cos (3x + 15t ? 2)

(c) y = 8 sin (2x + 15t)

(d) y = 8 cos (4x + 20t)

(e) y = 7 sin (6x ? 24t)

Rank the waves represented by the above functions from the largest to the smallest according to the following conditions. (Use only ">" or "=" symbols. Do not include any spaces or parenthesis around the letters or symbols.)

(i) their amplitudes

(ii) their wavelengths

(iii) their frequencies

(iv) their periods

(v) their speeds

Explanation / Answer

i) c=d>e>b>a

ii) c>a=b>d>e

iii) e>d>a=b=c

iv) a=b=c>d>e

v) c>a=b=d>e

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