\( a - 3 a ^ { 2 } - 6 a \sqrt { - 3 a ^ { 2 } + 6 a - 8 \quad a ^ { 3 } - 2 a ^ { 2 } + 3 a + 4 } \)

(a) The boys told us they were leaving at 8 p.m.

The profit at a lunch bar increased at a steady rate of \( 12 \% \) per year. This year the profit is \( 85,000 \mathrm{vt} \) How many years will it take the profit to exceed \( 400,000 \mathrm{vt} \) ?

\( 4 m x^{2}+2 x-(3 m-2)=0 \) 4 Consider the equation

Give a fully simplified expression for \( \cos \left(\sin ^{-1}\left(\frac{y}{9}\right)\right) \) Your answer should have no trigonometric functions.

Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. \( g(t)=\frac{9}{t^{4}} ; g^{\prime}(-4), g^{\prime}(2), g^{\prime}(\sqrt{5}) \)