Assignment 2 - Coding Problems: Due Friday 2/10 / MATLAB

Assignment 2 - Coding Problems: Due Friday 2/10/. Matlab. Complete

Assignment 2 - Coding Problems: Due Friday 2/10/. Matlab. Complete the quadratic equation solver yournameQuadEqn.m. See the comments at the top for specific directions, but the main idea is to avoid loss of significance by re-writing one of roots. The formula for the root r₁ has potential loss of significance when b > 0 and b² > 4ac; the second root r₂ is best left as is. The formula for the root r₂ has potential loss of significance when b 2 > 4ac. The first r₁ is best left as is.

Write a C program for estimating adding numbers in a 2D grid. See the file yournameGridSum.c to get started. This program will exhibit the effect of cumulative rounding error caused by adding many small values. Consider an N x N grid dividing the unit square into smaller squares. Each square has width w = 1 / N. Let (x_i, y_j) denote the midpoint of the square in column i, row j, with xⁱ = (i − 0.5) * w. Your task is to compute the double sum:

S = ∑_{i=1 to N} ∑_{j=1 to N} 3 w² [ (x_i)² + (y_j)² ].

For large N, the value of S should approach 2. You will compute S in two ways:

1. Summing up the numbers 1 by 1 in a nested for loop.

   Pseudocode:

   • Initialize: width=1/N; sum1=0;
   • For row=1 to N:
   • rowSum=0;
   • y = (row - 0.5) * width;
   • For col=1 to N:
   • x = (col - 0.5) * width;
   • rowSum = rowSum + (x x + y y);
2. sum1 = sum1 + rowSum;
3. Final result: finalResult1= 3 width width * sum1.
4. Sum all the numbers in a row, then add to the overall sum.

   Pseudocode:

   • Initialize: sum2=0;
   • For row=1 to N:
   • rowSum=0;
   • y = (row - 0.5) * width;
   • For col=1 to N:
   • x = (col - 0.5) * width;
   • rowSum = rowSum + (x x + y y);
5. sum2 = sum2 + rowSum;
6. Final result: finalResult2= 3 width width * sum2.
7. Decision Making Model Names:___________________________________________________
8. Pick ONE ethical/legal QUESTION relating to Ms. Lawrence case. Place a check next to the one you chose to answer.

• ______ ___________ What should Ms. Lawrence do in this situation?
• ______ ___________ What should the doctor do?

Part II: List 5 solutions to this question. Then rank them 1-5 with one being your choice.

1. ________________________________________________________________
2. ________________________________________________________________
3. ________________________________________________________________
4. ________________________________________________________________
5. ________________________________________________________________

Restate your #1 solution____________________________________________________

Part III: List four or more reasons that support your #1 solution

• 1.______________________________________________________________
• 2.______________________________________________________________
• 3.______________________________________________________________
• 4.______________________________________________________________

Part IV: If Ms. L chooses your #1 solution, what will happen? List three possible outcomes.

1. ______________________________________________________________
2. ______________________________________________________________
3. ______________________________________________________________

Part V: List three reasons someone might not agree with your decision.

• 1.______________________________________________________________
• 2.______________________________________________________________
• 3.______________________________________________________________

Part VI: Possible legal ramifications (list three):

1. ______________________________________________________________
2. ______________________________________________________________
3. ______________________________________________________________