(1) The integral is straightforward; <em>x</em> ranges between two constants, and <em>y</em> ranges between two functions of <em>x</em> that don't intersect.
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(2) First find where the two curves intersect:
<em>y</em> ² - 4 = -3<em>y</em>
<em>y</em> ² + 3<em>y</em> - 4 = 0
(<em>y</em> + 4) (<em>y</em> - 1) = 0
<em>y</em> = -4, <em>y</em> = 1 → <em>x</em> = 12, <em>x</em> = -3
That is, they intersect at the points (-3, 1) and (12, -4). Since <em>x</em> ranges between two explicit functions of <em>y</em>, you can capture the area with one integral if you integrate with respect to <em>x</em> first:
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(3) No special tricks here, <em>x</em> is again bounded between two constants and <em>y</em> between two explicit functions of <em>x</em>.
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Answer:
Explanation: Description - The person is sitting with other students in psychology class holding a pen and writing some notes on his paper. He is also listening attentively as he is leaning forward and nodding as the professor is presenting a fact or concept.
Explanation - You are sitting in the psychology class amidst many other things you could be doing because of multiple reasons. It could be that you are in pursuit of understanding human behavior, being a psychologist is your childhood dream or you want to follow the footsteps of your parents who are also psychologists. Again, there are numerous reasons that a person may have to sit inside the class in psychology.
Prediction - It can be predicted that given a class of 30 students, at least a number might have a failing mark if those few are continuously not attending class, or showing no interest in the subject. Psychology might be hard for some especially those who are not studying.
Influence - To influence people who might be interested in sitting in the psychology class might to show how interesting psychology is by providing practical applications for the subjects that may include, understanding mental disorders, determining if the person is telling the truth or predicting human behavior in a poker game.
Because North Korea gets along with us well and South Korea doesn't get along with us at all
Answer:
Herophilus and Erasistratus were so important to human anatomy because they were thought to be the first physicians to experiment on a human body.
Explanation: