what is the average age in the class? what is the average feeling? what is the average city?

Based upon the following tasks, durations and predecessor relationships which of the following tasks is not critical? 1, 10, N/A; 2,8,1; 3,5, 1; 4, 9, 1; 5, 6, 3; 6, 6, 2; 7, 11, 5; 8, 10, 6; 9, 9, 4; 10, 7, 9; 11, 10,( 7,8,10);

a. 4

b. 9

c. 6

d. 10

1. ʃ11-3x/(x^2+2x-3) dx

2. ʃ4x-16/(x^2-2x -3 )dx

3. ʃ(2x^2-9x-35)/(x+1)(x-2)(x+3) dx

1. What is the highest value of x that satisfies this equation x(x+4) = -3

A. -1

B. 0

C. 1

D. -3

2. If x² - 9x = -18, what are the possible values of x?

A. -3 and -6

B. -3 and 6

C. 3 and -6

D. 3 and 6

3. What polynomial can be added to 2x² - 2x+6 so that the sum is 3x²+ 7x?

A. 5x²+ 5x+ 6

B. 4x²+ 5x+ 6

C. 3x²+ 9x + 6

D. 2x²+ 9x +6

4.Which of the following is the factored form of the expression 5x²- 13x-6?

A. (x-3)(5x+ 2)

B. (x+3)(5x+ 2)

C. (x-3)(x +2)

D. (x+3)(x+2)

5. (3x² – 5x – 6) – (5x² + 4x + 4) =

A. -2x² – 9x -10

B. 2x² + 9x + 10

C. -2x² – 9x – 2

D. 2x² + 9x – 2

1)(a) Approximate the value of the double integral, ∫ ∫ R x 2 ydA, where R = [−1, 5] × [0, 4], using the midpoint rule with m = 3 and n = 2. (b) Evaluate the double integral in the part (a), evaluating the corresponding iterated integral.

2)Let D be a region in the xy plane, between the graphs of y = 2 cos(x) and y = − sin(x), for 0 ≤ x ≤ π 2 . Sketch D and next evaluate ∫∫ D ydA

3)Sketch a region D which is in the first quadrant of the xy plane and is bounded by the lines y = 2 − 2x and y = 4 − x. Next use the double integral over D to find the area of D.

4)Let D be a part of the disc of radius 1 and centered at the origin, where x ≥ 0. Sketch D and find the volume of the solid E which is over D and under the plane given by the equation, z = 2 − x, using the double integral in polar coordinates.

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3 + 10x^2 + 16x − 11 over Q (b) f(x) = 7x^ 4 − 9x^ 2 + 6 over Q (c) f(x) = x^3 − x + 1 over Q (d) f(x) = x ^4 + 2x ^2 + 2 over Q (e) f(x) = x^ 4 + 2x^ 2 + 2 over C (f) f(x) = x ^4 + 2x^ 2 + 2 over R (g) f(x) = x ^2 + 2x − 3 over Z-5 (h) f(x) = x ^3 − 2 over Z-7

Regression and Correlation Analysis

Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following.

Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret.

Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.

Determine the coefficient of correlation. Interpret.

Determine the coefficient of determination. Interpret.

Test the utility of this regression model, represented by a hypothesis test of b=0 using α=0.10. Interpret results, including the p-value.

Based on the findings in steps 1-5, analyze the ability of the independent variable to predict the dependent variable?

Compute the confidence interval for b, using a 95% confidence level. Interpret this interval.

Compute the 99% confidence interval for the dependent variable, for a selected value of the independent variable. Each student can choose a value to use for the independent variable (use same value in the next step). Interpret this interval.

Using the same chosen value for part (8), estimate the 99% prediction interval for the dependent variable. Interpret this interval.

What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

Summarize your results from Steps 1–10 in a 3-page report. The report should explain and interpret the results in ways that are understandable to someone who does not know statistics.

Submission: The summary report and all of the work done in 1–10 (Excel output and interpretations) as an appendix

Format for report:

Summary Report

Steps 1-10 addressed with appropriate output, graphs and interpretations. Be sure to number each step 1-10.

Using Calculus, calculate the elasticity of the following demand functions. After that, calculate the elasticity for the points (1, 3) and (2, 2).

The first coordinate of the points above is Q, the second is Price.

(1) Q = 10P ^ (-4)

(2) Q = 10 - P

Find the relative maximum and minimum value if the following one variable function (If there is any):

a) y = x^2 + 2x + 1

b) y = 6x^2 - 12x

c) y = x^2 + 2x + 1

d) y = x^4