1. Evaluate the integral: ∫((e^(2x)−e^(−5x))^2+ ln(e^(1/x))) dx

2. Using cylindrical shells, find the volume of the solid obtained by taking the region between y=x and y=x^2 for 1≤x≤3 and rotating it about the the line x=−4.

3. Find the average value of the function f(x) = 1/√x on the interval [0,4]. Then find c in [0,4] such that f(c) =f ave.

please help!

1. (10 pts) Define the nodes in the LinkedList. Create the LinkedList using the ListNode class. Create a method to find a node with given value in a LinkedList. Return the value is this value exists in the LinkedList. Return null if not exists. Use these two examples to test your method.

Example 1:

Input: 1 -> 2 -> 3, and target value = 3

Output: 3

Example 2:

Input: 1 -> 2 -> 3, and target value = 4

Output: null

Using Eclipse for Java

Write a C++ program that prints a calendar for a given year.

ONLY USING "#include<iostream>" and "#include<cmath>" The program prompts the user for two inputs:

      1) The year for which you are generating the calendar.
      2) The day of the week that January first is on, you will use the following notation to set the day of the week:

      0 Sunday                     1 Monday                   2 Tuesday                   3 Wednesday
      4 Thursday                 5 Friday                      6 Saturday

Your program should generate a calendar similar to the one shown in the example output below. The calendar should be printed on the screen. Your program should be able to handle leap years. A leap year is a year in which we have 466 days. That extra day comes at the end of February. Thus, a leap year has 466 days with 29 days in February. A century year is a leap year if it is divisible by 400. Other years divisible by 4 but not by 100 are also leap years.

Example: Year 2000 is a leap year because it is divisible by 400.  Year 2004 is a leap year because it is divisible by 4 but not by 100.

Your program should clearly describe the functionality of each function and should display the instructions on how to run the program.

Sample Input:

Enter the year for which you wish to generate the calendar: 2018
Enter the day of the week that January first is on: 1

Sample output:

Calendar for year 2018

January
Sun      Mon     Tue      Wed     Thu      Fri        Sat
            1          2          4           4          5          6         

7          8          9          10        11        12        14       

14       15        16        17         18        19        20       

21       22        24        24         25        26        27       

28       29        40        41

February
Sun      Mon     Tue      Wed     Thu      Fri        Sat
                                                1          2          4         

4          5          6          7          8          9          10       

11        12        14        ..         ..          ..          ..         

..          ..          ..          ..          ..          ..          ..

..

..

..

Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information.

1. Develop a correlation matrix. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

2. Determine the regression equation. (Round your answer to 3 decimal places.)

The regression equation is: Food = ____ + _____ income + _____ size

3. How much does an additional family member add to the amount spent on food? (Round your answer to the nearest dollar amount.)

Another member of the family adds _________ to the food bill.

4. What is the value of R²?

5. Complete the ANOVA (Leave no cells blank - be certain to enter "0" wherever required. Round SS, MS to 4 decimal places and F to 2 decimal places.)

6. State the decision rule for 0.05 significance level. H₀: = β₁ = β₂ = 0; H₁: Not all β_i's = 0.

7. Complete the table given below. (Leave no cells blank - be certain to enter "0" wherever required. Round Coefficient, SE Coefficient, P to 4 decimal places and T to 2 decimal places.)

Write the balanced molecular equation for any reaction that occurs when the following solutions are mixed.

1. Ba(C₂H₃O₂)₂ and Na₂SO₄

2. NaClO₄ and Pb(NO₃₎₂

3. Mg(NO₃)₂ and Na₃PO₄

4. SrS and NiI₂ (thats Nickel and Iodide)

In a binomial distribution, n = 8 and π=0.33 . Find the probabilities of the following events. Use Appendix B.1. (Round your answers to 4 decimal places.) x=2 . x≤2 . x≥3 .

1. x=2

2. x≤2

3. x≥3.

A one-year, $24,600, 12% note is signed on April 1. If the note is repaid on October 1 of the same year, how much interest expense is incurred? (Do not round intermediate calculations.)

$2,952

$1,476

$1,722

$1,230

The following 12%, $1,000 notes were issued on December 1. Which of the following is the correct method of calculation for the interest accrued as of December 31 of the same year on each of the notes described?

Interest on a 4-month note is calculated as: $1,000 × 12% × 1/12.

Interest on a 3-month note is calculated as: $1,000 × 12% × 1/3.

Interest on a 4-month note is calculated as: $1,000 × 12% × 1/4.

Interest on a 2-year note is calculated as: $1,000 × 12% × 1/24.

Scenario 1 A group of researchers has recently collected data to investigate whether or not different kinds of performance feedback influences flow (a state of intense task absorption). In particular, they are interested in testing whether or not flow differs when participants are given feedback that is either positive or negative. The researchers have computed descriptive statistics, but are asking you to test the difference between groups. Positive Feedback: n = 30, M = 3.64, s = 0.40 Negative Feedback: n = 31, M = 3.21, s = 0.35

Identify the IV (and its levels) and the DV, and conduct a hypothesis test (including all steps) using the appropriate t-test (α = 0.05).

Scenario 2 A speech therapist developed a new technique for resolving stuttering in children and adolescents that involves use of a distractor to reduce speech-related anxiety. He recruited 8 current clients of his clinic to participate in a simple study. Each participant’s speech was assessed without the technique (pre-test control) and again while using the technique (post-test). The number of stutters were counted in each assessment, and the data are reported below. Does the therapist’s new technique appear to be working?

Identify the IV (and its levels) and the DV, and conduct a hypothesis test (including all steps) using the appropriate t-test (α = 0.01). Client 1 2 3 4 5 6 7 8 Pre-test 4 6 4 7 7 3 3 4 Post-test 4 5 5 4 2 2 3 1

Two firms compete by advertising. Given the profit matrix for this advertising game, identify each firm’s best response to its rival’s possible actions. Does either firm have a dominant strategy? What is the Nash equilibrium?

How does your answer change if Firm 1 gets 3 instead of 1 when both firms advertise?

each of the following situations,

3. U(X,Y) = X1/2Y1/2 M = $36; PY = $1; PX is initially = $1; the price of Good X increases to PX = $9.

4. U(X,Y) = X1/2Y1/2 M = $64; PY = $1; PX is initially = $16; the price of Good X decreases to PX = $1.

1）calculate the change in the quantity demanded of Good X that is due to the Substitution Effect

2）calculate the change in the quantity demanded of Good X that is due to the Income Effect