find the general solution of the given differential equation

1. 2y''+3y'+y=t^2 +3sint

find the solution of the given initial value problem

1. y''−2y'−3y=3te^2t, y(0) =1, y'(0) =0

2.  y''−2y'+y=te^t +4, y(0) =1, y'(0) =1

In small groups, you will defend the use of your protein., ***PLANT PROTEIN*** You will describe in detail:

1. the composition

2. mechanism of action

3. rate of absorption and synthesis

4. timing of consumption

5. recommended dose

6. pros and cons

In addition, you should address the following:

1. What types of athletes would best benefit from your protein?

2. Are there any side effects of excessive consumption?

3. Estimate the cost of using the supplement for 1 week, 1 month, and 1 year.

Be creative with how you defend your supplement. Provide examples for even samples.

Please I need answer for #4 ASAP!!!

Business Mathematics answers the questions show the steps based on a formula.

4. Use formulas to find the present value for each of the following:

5. Ahmed borrowed AED30,000 for office furniture. The loan was for six months at an annual interest rate of 8%. What are Ahmed’s interest and maturity value?

6. On March 4, Saleh borrowed AED50,000 at 5% interest. Interest and principal are due on July 6. What is the interest cost and the maturity value?

PLEASE SHOW ALL THE FORMULA IN AN EXCEL FORMAT AND ANSWER ALL QUESTIONS

All problems must be solved using Excel formulas to receive credit.

Question Set 1.

You are in charge of quality control for computer monitors at Dell. You have data on twenty-five batches of monitors, tracking five types of defects: brightness, color, contrast, dead pixels, and stuck pixels. These data are given in the table below.

1. For each defect type, find the average number of defects per batch. So, you should have an average defect rate for brightness, another for color, and so on. (2pts)

2. For each batch, find the total number of defects (the sum of all five types). So, you should have one number for batch 1, another for batch 2, and so on. (2pts)

3. Sort the five columns of defects by descending average defect rate. The lowest rate should be on the right. (4pts)

4. Sort the batches by ascending total defects. The batch with the lowest total should be at the top. This will not affect the column sorting from the question 1.3 above. (4pts)

5. Create a Pareto chart showing the average defect rate for each of the five defect types. This will be a column chart, in descending left-to-right order, with each column and the axes labeled. (8pts)

Question Set 2.

A manufacturing operation must periodically purchase bulk quantities of washers. The washers are purchased in boxes of 1000 and are consumed at a constant rate. The operation expects to purchase 20,000 boxes over the coming year. Each box costs $120, the annual holding cost per box is $15, and the cost of placing an order is $120 (regardless of the quantity ordered). For the following questions, use the basic economic order quantity model (without quantity discounts).

1. What is the economic order quantity (in boxes)? (2pts)

2. Calculate the annual inventory holding costs based on the average inventory level and annual holding cost per box. (2pts)

3. Calculate the annual inventory ordering costs based on the number of orders expected to be placed during the coming year. (2pts)

4. Create a data table showing the total inventory costs (only) for order quantities varying from 100 to 1200 (use a step size of 50). You must use a data table structure to receive full credit for this problem. If you have any doubt as to what a data table is, please ask your lab TA. (8pts)

5. Create a scatter chart (use the one with markers and smooth lines) showing how total inventory costs are a function of the order quantity. Be sure to label your axes appropriately. (6pts)

Please answer each question set on a separate Excel worksheet, labeled appropriately. (Include all formulas)

Question Set 1.

You are in charge of quality control for computer monitors at Dell. You have data on twenty-five batches of monitors, tracking five types of defects: brightness, color, contrast, dead pixels, and stuck pixels. These data are given in the table below.

1. For each defect type, find the average number of defects per batch. So, you should have an average defect rate for brightness, another for color, and so on. (2pts)

2. For each batch, find the total number of defects (the sum of all five types). So, you should have one number for batch 1, another for batch 2, and so on. (2pts)

3. Sort the five columns of defects by descending average defect rate. The lowest rate should be on the right. (4pts)

4. Sort the batches by ascending total defects. The batch with the lowest total should be at the top. This will not affect the column sorting from the question 1.3 above. (4pts)

5. Create a Pareto chart showing the average defect rate for each of the five defect types. This will be a column chart, in descending left-to-right order, with each column and the axes labeled. (8pts)

Question Set 2.

A manufacturing operation must periodically purchase bulk quantities of washers. The washers are purchased in boxes of 1000 and are consumed at a constant rate. The operation expects to purchase 20,000 boxes over the coming year. Each box costs $120, the annual holding cost per box is $15, and the cost of placing an order is $120 (regardless of the quantity ordered). For the following questions, use the basic economic order quantity model (without quantity discounts).

1. What is the economic order quantity (in boxes)? (2pts)

2. Calculate the annual inventory holding costs based on the average inventory level and annual holding cost per box. (2pts)

3. Calculate the annual inventory ordering costs based on the number of orders expected to be placed during the coming year. (2pts)

4. Create a data table showing the total inventory costs (only) for order quantities varying from 100 to 1200 (use a step size of 50). You must use a data table structure to receive full credit for this problem. If you have any doubt as to what a data table is, please ask your lab TA. (8pts)

5. Create a scatter chart (use the one with markers and smooth lines) showing how total inventory costs are a function of the order quantity. Be sure to label your axes appropriately. (6p

Please answer each question set on a separate Excel worksheet, labeled appropriately and include excel Formulas

Question Set 1.

You are in charge of quality control for computer monitors at Dell. You have data on twenty-five batches of monitors, tracking five types of defects: brightness, color, contrast, dead pixels, and stuck pixels. These data are given in the table below.

1. For each defect type, find the average number of defects per batch. So, you should have an average defect rate for brightness, another for color, and so on. (2pts)

2. For each batch, find the total number of defects (the sum of all five types). So, you should have one number for batch 1, another for batch 2, and so on. (2pts)

3. Sort the five columns of defects by descending average defect rate. The lowest rate should be on the right. (4pts)

4. Sort the batches by ascending total defects. The batch with the lowest total should be at the top. This will not affect the column sorting from the question 1.3 above. (4pts)

5. Create a Pareto chart showing the average defect rate for each of the five defect types. This will be a column chart, in descending left-to-right order, with each column and the axes labeled. (8pts)

Question Set 2.

A manufacturing operation must periodically purchase bulk quantities of washers. The washers are purchased in boxes of 1000 and are consumed at a constant rate. The operation expects to purchase 20,000 boxes over the coming year. Each box costs $120, the annual holding cost per box is $15, and the cost of placing an order is $120 (regardless of the quantity ordered). For the following questions, use the basic economic order quantity model (without quantity discounts).

1. What is the economic order quantity (in boxes)? (2pts)

2. Calculate the annual inventory holding costs based on the average inventory level and annual holding cost per box. (2pts)

3. Calculate the annual inventory ordering costs based on the number of orders expected to be placed during the coming year. (2pts)

4. Create a data table showing the total inventory costs (only) for order quantities varying from 100 to 1200 (use a step size of 50). You must use a data table structure to receive full credit for this problem. If you have any doubt as to what a data table is, please ask your lab TA. (8pts)

5. Create a scatter chart (use the one with markers and smooth lines) showing how total inventory costs are a function of the order quantity. Be sure to label your axes appropriately. (6pts)

If the temperature of an ideal gas is raised from 100°C to 200°C, while the pressure remains constant, the volume

1.) goes to 1/2 of the original volume

2.) doubles

3.) remains the same

4.) increases by a factor of 100

5.) none of these

The probability for a family having x dogs is given by:

Find the expected number of dogs that a family will have. Round to the nearest tenth.

IN C++: Write a program to display the following table. MUST use for-loop Enter the table size: 10 N N^2 Square root of N --------------------------------------------- 1 1 1.00 2 4 1.41 3 9 1.73 ….. 10 100 3.16

1. Write a program that includes a function search() that finds the index of the first

element of an input array that contains the value specified. n is the size of the array. If

no element of the array contains the value, then the function should return -1. Name your

program .C The program takes an int array, the number of elements in the array,

and the value that it searches for. The main function takes input, calls the

search()function, and displays the output.

int search(int a[], int n, int value);

Example input/output #1:

Enter the length of the array: 4

Enter the elements of the array: 8 2 3 9

Enter the value for searching: 3

Output: 2

Example input/output #2:

Enter the length of the array: 6

Enter the elements of the array: 4 7 1 0 3 9

Enter the value for searching: 5

Output: -1

2. Modify the part 1 program so that it deletes all instances of the value from the array. As

part of the solution, write and call the function delete() with the following

prototype. n is the size of the array. The function returns the new size of the array after

deletion (The array after deletion will be the same size as before but the actual elements

are the elements from index 0 to new_size-1). In writing function delete(), you may

include calls to function search(). The main function takes input, calls the

delete()function, and displays the output. Name your program .C

int delete(int a[], int n, int value);

Example input/output #1:

Enter the length of the array: 6

Enter the elements of the array: 4 3 1 0 3 9

Enter the value for deleting: 3

Output array:

4 1 0 9