What we saw in class was too basic... examples of these are not even in the book we are using.

Help is appreciated, thank you!

4)Find the total differential dz = zxdx + zydy for the following function:

z = 7x2ye

16)Find the total differential dz = zxdx + zydy for the following function:

z = (9y3) / (x-y)

This last one has economics application.

19)Consider the following system of equations:

Y = C + I0 + G0

Yd = Y - T (disposable income)

C = C0 + bYd

T = T0 + tY

A. Solve for the equilibrium level of output.

B. What is the government spending multiplier, dY/dG?

C. What is the balanced-budget multiplier (that is, what is dY when dG and dT exactly offset each other)?

D. Is this positive or negative? Greater than or less than 1?