1.6.1 Binomial expansion for positive integer n

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 8

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]

1.6.1 Binomial expansion for positive integer n

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 8

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]

1.6.1 Binomial expansion for positive integer n

Question 8

Markscheme

1.6.1 Binomial expansion for positive integer n

Question 8

Markscheme

1.6.1 Binomial expansion for positive integer n

Question 8

1.6.1 Binomial expansion for positive integer n Questions

1.6.1 Binomial expansion for positive integer n

Question 8

1.6.1 Binomial expansion for positive integer n Questions