Let \( f(x)=e^{a x} \sin (b x+c) \) and \( f^{\prime \prime \prime}...

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Let \( f(x)=e^{a x} \sin (b x+c) \) and \( f^{\prime \prime \prime}(x)=r^{3} e^{a x} \sin (b x \) \( +\theta) \) then
(a) \( r^{2}=a^{2}-b^{2} \)
(b) \( r^{2}=a^{2}+b^{2} \)
(c) \( \theta=c+3 \tan ^{-1}(b / a) \) (d) \( \theta=3 a \tan ^{-1}(b / a) \)
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