f(x1,x2) 4 2 0 -2 -4 −1 2 0 1 1 0 2 -1 X1 3-2 x2 Figure 2: Graph of the function f(x1, x2) = 2x1 = x²-x+3 Consider the following function: f(x1, x2) = 2x1 - x-x+3. - For your visual convenience, a portion of the function is depicted in Figure 2. (a) Compute the gradient vector of f. (b) Compute the Hessian matrix of f. (c) Determine all points that yield stationary values of f. (d) Use the second-order conditions to determine whether each of the stationary val- ues of f is a maximum, a minimum, or neither.

Can you help me to draw a graph for question 5 please? Thanks

Problem 2: Y = C +1, + Go C = Co + bYd T = T, + tY %3D %3D Determine and comment the effect of changes in To on Y*, C* and T* . [Hint: Please use template for Implicit and General Function]

Problem 2: use the following to complete the graph.

Y 4 3 2 1 1 2 3 4 5 In the diagram, the equation for this line is

Solve the following problems by using the inverse of the matrix involved. (a) An automobile factory producess two models, A and B. Model A requires 1 labor hour to paint and 1 labor hour to polish; model B requires 1 labor hour for each 2 process. During each hour that the assembly line is operating, there are 80 labor hours available for painting and 65 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The factory can obtain 1050 widgets and 745 shims each hour. How many cars of each model can it produce while using all the parts available? (a) Model A: Model B: (b) Model A: Model B:

Consider the data points in the table below: Y 120- Y 1.0 80.0 2.0 60 0 100- 3.0 40.0 4.0 20.0 5.0 0.0 80- Using the multipoint curve drawing tool, in the graph to the right, plot each point in the table above. Carefully follow the instructions above and only draw the required object. 60- 40- 20 0-

(Only answer number 2 but use the info from number 1 on an excel file to show formulas used)

The following graph contains four lines (A, B, C and D), each of which has a slope that is either positive, negative, zero, or infinite.   Y-axisX-axisBDCA   For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Scenario Relationship Line As the temperature rises, the demand for ice-cream rises. Negative         As the temperature rises, the demand for hot cocoa falls. Positive         As the temperature falls, the demand for popsicles falls. Negative           True or False: Line B has a slope of infinity.…

Consider the function Y5X03203, where X and Z are both greater than or equal to zero. Complete the following table by calculating the value of Y for each set of values for X and Z. X 16 18 1 8 20 16 14 N 10 6 Use the blue curve (circle symbols) to graph the values from the previous table that correspond to the contour line when Y=20. Use the green curve (triangle symbols) to graph the values from the previous table that correspond to the contour line when ya 30. Finally, use the purple curve (diamond symbols) to graph the values from the previous table that correspond to the contour line when y=40. 5 4 2 z 16 6 D 4 1 1 16 8 18 Y 0 0 10 X 12 14 10 10 20 Contour Line Y 20 N Contour Line Y 30 B Contour Line Y 40