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Error

In scientific statistical analysis, error is not a mistake. It is the difference between the computed, estimated or measured value and the accepted true value. It is the different between the desired ad actual performance and behavior of a system. Error is used in many types of control systems to ensure the process value does not fall below the desired set point within error.

The word error entails different meanings and usages relative to how it is conceptually applied. It is derived from the Latin word wandering or straying. An error or a mistake can sometimes be dispelled through knowledge. For example, a person who uses too much of an ingredient in a recipe and has a failed product can learn the right amount to use and avoid repeating the mistake; although, some errors can occur even when individuals have the required knowledge to perform a task correctly.

Depending on the nature of the system, error is calculated in different ways. In experiments where the information is measured, the error is half of the smallest measurement. In calculation based experiments, the error is measured using different equations depending on the operation. Error can also be presented in a percent error format if the record answers change. 

Propagation of Error General Rules

Find error in w: (1) w = x + 2y - 3z = 14 (2) w = 2t - 3e = -115 (3) w = x * 2y * 3z = 600 (4)w = 2x/2y = x/y = 2 (5) w = 1/8 (1/y) + ¾ (z/x) + ¼ (y/x) = 0.3 (6) w = 2 (y/z) - 3(x/z) = -10 (7) w=ycost = 4.92 (8) w = t2/sin t = v1 / v2 = 575.877 (9) w = tan t / tan e = 0.1763 (10)w = x3 / cos e = v1

Meeting of Two Identical Pulses moving along a String

(See attached file for full problem description with diagrams) --- Two identical pulses are moving in opposite directions along a stretched string that has one fixed end and the other movable, as shown in the figure. Above each pulse a green arrow indicates the direction of motion of the pulse. Part A The two pulse