Find the indefinite integral by making the substitution . ​ ​

A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see the figure below). Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. ​ ​

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Use the following graph of  to sketch a graph of f. ​ ​

Tyler thought that she did great in her stats class because she worked hard. However, she blames her poor grades in psychology on her “incompetent instructor.” Tyler’s reasoning demonstrates:

Sexually transmitted diseases are examples of _____ that can cause abnormalities in fetal development.

Matt says that he thinks that drinking beer is bad, but he takes a few sips of his friend’s beer at a party. The next day, when he thinks about it, he feels uncomfortable because his behavior violated his attitude, so he decides that he doesn’t think drinking beer is bad after all. Matt’s change of belief can best be explained by _____ theory.

According to what you read in your textbook, people strive for consistency in their cognitions. If they have two or more cognitions that contradict one another, they experience an unpleasant state of tension called _____ _____. (note: spelling counts!)

Research conducted on parenting styles has found that the parenting style most associated with positive childhood outcomes is the _____ style.

According to the _______________, people tend to underestimate the impact of situational factors and overestimate the impact of personal factors when explaining other people’s behaviors.