The graph to the right shows a region of feasible solutions. Use this region to find maximum and minimum values of the given objective functions, and the locations of these values on the graph. (a) \( z=4 x+3 y \) (b) \( z=1.75 x+1.25 y \)

Evaluate the function at the specified points. \( h(x, y, z)=\frac{1}{x^{3}} y z,(2,6,-6),(3,-5,-3) \) At \( (2,6,-6) \) : \( \operatorname{At}(3,-5,-3) \) :

What would the effect of contractionary monetary policy be on the aggregate level of income and spending? A An increase in the aggregate level of income and spending. B A decrease in the aggregate level of income and spending. C An increase in the aggregate level of income and a decrease in the aggregate level of spending. D A decrease in the aggregate level of income and an increase in the aggregate level of spending.

\( \frac { \sin \theta + \operatorname { cosen } } { \operatorname { cose } \theta } = 1 + \tan ^ { 2 } \theta \)

Australia and New Zealand both produce wool and wine. Australia can either produce 200 litres of wine or 40 tonnes o wool per week. New Zealand can either produce 40 litres of wine or 10 tonnes of wool per week. Australia has an absolute advantage in the production of: A both wool and wine. B wine only. C wool only. D neither wool nor wine

La derivada de la función \[ \begin{array}{l}f(x)=2 x^{4}+x^{3}-x^{2}+4 \\ \text { a. } f^{\prime}(x)=20 x^{3}+15 x^{2}+34 x-3 \\ f^{\prime}(x)=8 x^{3}+3 x^{2}-2 x \\ f^{\prime}(x)=-2\end{array} \] \( \begin{array}{l}\text { b. }\end{array} \)