Question

(e^x/3 cos x)(e^x sin 6x) how about this multiplication of it?thanks in advance

Answer 1

\[e ^{\frac{x^2}{3}}\cos(6x)\sin(6x)\]

Answer 2

can u show me the full solution?i couldnt understand.

Answer 3

well to figure out the e term, you use the rule
\[(a^b)a^c= a^{b+c}\]
so if you have\[e^{\frac{x}{3}}*e^x\] what do you get? btw, I actually got my e term wrong, so its not what i wrote before

Answer 4

e^2/3 x is it correct??

Answer 5

its actually
\[e^{4x/3}\], because \[e^x = e^{3x/3}\]

Answer 6

ow i see

Answer 7

and because everything is timesed, you just take the e term you found out, and times it by the sin term and the cos term

Answer 8

so you should get \[e^{\frac{4x}{3}}\cos(6x)\sin(6x)\]