Respond to parts 1 and 2 below.

Advanced Placement (AP)

1 answer:

lakkis [162]3 years ago

4 0

Answer:

AP Psychology am I right? This toook me a while but I'm glad to help anyone in the same boat as me :) Please remember to change the words around in order to aviod plagirism <3

Explanation:

The two primary ways to solve problems with algorithms and heuristics are as follows. Algorithms are formulas used for quantitive problems such as math or science. Heuristics is a way to solve problems that involve more of a social and extensive outlook. Another words the heuristic method, involves solving the question with other people. The confirmation bias affects people's judgment and decision-making in within many decision parts of life, so one would want to avoid this in order to stay away from making incorrect choices due to their personal beliefs. Mental sets can make solving a class of problem easier, but an attachment to the wrong mental set can set a stop to problem-solving and one's creativity. In other words, the error mental set in this case is that a person could use one method for everything, because it solved one question, and the answer was not hard to find. Intuition is not supported by facts, or sound information, which clouds judgment. People can then begin to develop heuristics by using intuition. The availability heuristic can lead to error because memories that are easily remembered are found to be constantly insufficient for finding the likelihood of things to occur in the future. People constantly make the error of thinking that two things or events that happen to be similar are more closely correlated than they are in reality. Overconfidence in one's mentality and knowledge can hold actions of reckless behavior and have a lack of honesty for false information, and would then lead to poor performance and severe mistakes.Belief perseverance is the tendency to maintain one's beliefs even when evidence shows that the beliefs are false or incorrect.An error of Framing is that it can affect our decision-making making poor information or lesser options seem like good choices.

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Alright so the way to do this is to use properties of integrals to make our life easier.

So we have:

$\int\limits^4_1 {(3f(x)+2)} \, dx$

So lets break this up into two different integrals that represent the same area.

$\int\limits^4_0 {f(x)} \, dx - \int\limits^1_0 {f(x)} \, dx = \int\limits^4_1 {f(x)} \, dx$

Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:

$\int\limits^4_1 {f(x)} \, dx$