Consider the system of equations:

+ 3 = + 30

2 + 9 5 =

3 + 7 = 4

(a) Rewrite the system as an augmented matrix.

(b) Use a spreadsheet and Gaussian elimination with matrices to solve the system. Include two screenshots:

(1) the formula view (or put ` in front to keep them from evaluating) of your spreadsheet

(2) the results.

(c) Check your answer for part (b) by substituting your solutions into the system of equations.

2

Let () = 3 (2 )

(a) Find the x and y intercepts of ().

Use calculus to:

(b) Find the critical points of () (round the y-value to 3 dp, where appropriate).

(c) Create a table of signs for ().

(d) Find the intervals where () is increasing or decreasing, using interval notation.

(e) Find any local minima and maxima of ().

(f) Find the intervals (using interval notation ) where () is concave up and concave down, and any points of inflections.

(g) Use the information from (a)-(f) to sketch a graph of (), including all relevant information. (You can use technology)