Question #1

The table gives the average annual U.S. wage from 2011 and projected through 2021.

Year	Wage ($)	Year	Wage ($)
2011	43,009	2017	55,989
2012	44,644	2018	58,698
2013	46,496	2019	61,179
2014	48,595	2020	63,676
2015	50,893	2021	66,161
2016	53,317

(a)Use linear regression to find the best linear model for the wage as a function of the number of years after 2010. Report the model with 4 significant digits.

y(x) =------------

(b)Use the reported model to predict the average annual wage in 2026. (Round your answer to the nearest dollar.)$ --------

Question #2

Find the partial derivative of

f(x, y) = 6x³ 9xy² + y³

with respect to x at the point (2, 1, 31).

Question #3

Find z_x and z_y.

z = 5e^xy + 3y ln(x)

z_x=

z_y=

Question #4

Find the second partials.

z = 2x⁴y³ x^{2 divided by} y²

(a) z_xx=

(b) z_yy=

(c) z_xy=

(d) z_yx=

Question #5

Find the second partials.

z= ln(xy+4)

(a) z_xx=

(b) z_yy=

(c) z_xy=

(d) z_yx=