1. Find the equation of the tangent line to the graph of ?(?) = 1 + ? + ???? at ? = 0. 4.

2. Find the equation of the tangent line to the graph of ?(?) = (?+1)/ (?−1)at ? = 0. 5.

(JAVA)

Create a program that takes in 15 numbers in sorted order from the console and stores them in a 1D array of size 15.

Next, prompt the user for a number to search for in the array (target).

Then, print the array.

Next, search the array using a linear search – printing out each of the indices (or “indexes”) that are being examined until the algorithm either finds the target or doesn’t.

Then, do the same thing for a binary search.

The program should behave like the samples below:

Sample 1

slot 0: 0

slot 1: 1

slot 2: 2

slot 3: 3

slot 4: 4

slot 5: 5

slot 6: 6

slot 7: 7

slot 8: 8

slot 9: 9

slot 10: 10

slot 11: 11

slot 12: 12

slot 13: 13

slot 14: 14

Enter a target: 15

0|1|2|3|4|5|6|7|8|9|10|11|12|13|14|

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

7 11 13 14

Sample 2

slot 0: 3

slot 1: 11

slot 2: 45

slot 3: 57

slot 4: 81

slot 5: 125

slot 6: 129

slot 7: 311

slot 8: 333

slot 9: 361

slot 10: 402

slot 11: 412

slot 12: 475

slot 13: 499

slot 14: 501

Enter a target: 402

3|11|45|57|81|125|129|311|333|361|402|412|475|499|501|

0 1 2 3 4 5 6 7 8 9 10

7 11 9 10

1. Competitors

The results of a running competition are shown in the table below.

Find an unfinished program below that contains the appropriate types and the above data in an array. Complete the program, step-by-step, according to the comments.

#include <stdio.h>
 
typedef struct Date {
    int year, month, day;
} Date;
 
typedef struct Competitor {
    char name[31];
    Date birth;
    int rank;
} Competitor;
 
void Date_print(Date d);
 
void Competitor_print(Competitor c);
 
int main() {
    Competitor competitors[5] = {
        { "Am, Erica", {1984, 5, 6}, 1 },
        { "Abnorm, Al", {1982, 9, 30}, 3 },
        { "Pri, Mary", {1988, 8, 25}, 2 },
        { "Duck, Ling", {1979, 6, 10}, 5 },
        { "Mac, Donald", {1992, 4, 5}, 4 },
    };
 
    /* name of competitor 0 - printf %s */
    /* rank of competitor 2 */
    /* birth date of competitor 4, use the given function */
    /* the first letter of the name of competitor 1 (a string is an array of characters) */
    /* is competitor 1 among the best three? yes/no, may use ?: operator */
    /* is competitor 4 faster than competitor 3? */
    /* was competitor 1 born in the same year as competitor 2? */
    /* complete the Competitor_print() function,
     * then print all data of competitor 1 */
    /* at last print all data of all competitors. */
 
    return 0;
}
 
void Date_print(Date d) {
    /* print year, month and day */
}
 
void Competitor_print(Competitor c) {
    /* print all data of the competitor */
}

Over the summer, you are interning at a medical clinic. The clinic tells you about a study

they recently ran to investigate how effective group therapy is for treating depression. The

clinic is so busy, they haven’t analyzed the results yet. You are feeling extra confident after

passing PHLS 451, so you offer to analyze their data!

The clinic randomly assigned 20 people to two conditions: group therapy or control. The

two groups are independent. After one month in group therapy or in the control

condition, participants rated their depression levels. The clinic asks you to use an alpha

level of 0.01 when analyzing the results.

a.

Write your alternative and null hypotheses.

b.

Run your statistical analysis using SPSS. Summarize your results and conclusion

(i.e. include all three parts)

1. The table below provides some information about the possible outcomes of a particular study. From the information provided determine the effect size and power of each scenario. Sketch the distributions involved and show the areas representing alpha, beta, and power for each scenario. You can assume that all the populations are normally distributed.

Hint 1: For scenario 1, the power is 80.23%. For scenario 2 the power is 99.63. So be sure to show your work for the rest of the marks.

Hint 2: For scenario 4, you’ll need to add power from both ends of the curve (two-tailed).

Ted Olson, director of the company Overnight Delivery, is worried because of the number of letters of first class that his company has lost. These letters are transported in airplanes and trucks, due to that, mister Olson has classified the lost letters during the last two years according to the transport in which the letters were lost. The data is as follows:

Mister Olson will investigate only one department, either aerial o ground department, but not both. He will open the investigation in the department which has the most number of lost letters per month, find:

23.- The expectation value of lost letters per month in truck.

24.- The expectation value of lost letters per month in airplane.

Write the numbers in the order they will be in after the first pass of a:

1) bubble sort

2) selection sort

3) insertion sort

2 4 9 7 5 1 6 3

Use the trapezoid rule, midpoint rule, and Simpson’s rule to approximate the given integrals with the given values of n.

?) ∫ ? ? / 1+? 2 ?? (from 0 to 2)   ? = 10

?) ∫ √??? ?? (from 1 to 4) ? = 6

2. A certain probability distribution is given below. Find the mean and standard deviation.

When do you use each test? 1) 1-Proportion z test 2) T-test 3) 2 sample t test 4) Matched pairs test