\( \begin{array}{lll}\frac{1}{5} & \text { b) } \frac{9}{5} & \text { c) } 1 \\ \text { edigit at unit's place of the cube root of } 6659 & \text { is: }\end{array} \)

Find the linear speed \( \nu \) for the following. a point on the edge of a flywheel of radius 2 m , rotating 42 times per min The linear speed \( \nu \) for a point on the edge of a flywheel of radius 2 m , rotating 42 times per min is (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the

\( \lim _ { h \rightarrow 0 } [ \frac { 1 } { h } \left( \begin{array} { c } { 1 } \\ { x + h } \end{array} \right) ] \)

Ub. Prove a desigualdade \[ a^{2}+b^{2} \geq 2 a b, \quad \forall a, b \geq 0 . \] Utilize esta desigualdade para demonstrar que a média geométrica de dois números posi tivos nunca excede a sua média aritmética: se \( a>0 \) e \( b>0 \) então \[ \sqrt{a b} \leq \frac{a+b}{2} . \] 07.

A farmer buys a new tractor for \( \$ 149,000 \) and assumes that it will have a trade-in value of \( \$ 89,000 \) after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tray Complete parts (a) and (b). a) Find a linear model for the depreciated value \( V \) of the tractor \( t \) years after it was purchased. \( V= \)

La cena de Aubrey cuesta \( \$ 85 \). Ella deja \( 30 \% \) de propina por el excelente servicio. ¿Cuánto dejó Aubrey de propina? \( \$ \square \)