1.7.1 Binomial expansion

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Question 16

In a study of harmonic resonances, a physicist models the fundamental dampening constant $D\,$ as the term independent of $\omega\,$ in the binomial expansion of $P(ω)=(32ω2−4ω3)10P(\omega) = \left( \dfrac{3}{2}\omega^2 - \dfrac{4}{\omega^3} \right)^{10}$ . Calculate the exact value of $D$ .

[4]

1.7.1 Binomial expansion

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Question 16

In a study of harmonic resonances, a physicist models the fundamental dampening constant $D\,$ as the term independent of $\omega\,$ in the binomial expansion of $P(ω)=(32ω2−4ω3)10P(\omega) = \left( \dfrac{3}{2}\omega^2 - \dfrac{4}{\omega^3} \right)^{10}$ . Calculate the exact value of $D$ .

[4]

1.7.1 Binomial expansion

Question 16

Markscheme

1.7.1 Binomial expansion

Question 16

Markscheme

1.7.1 Binomial expansion

Question 16

1.7.1 Binomial expansion Questions

1.7.1 Binomial expansion

Question 16

1.7.1 Binomial expansion Questions