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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