MHB What is the area between two curves given by y=2x^2+10 and y=4x+16?

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To find the area between the curves y=2x^2+10 and y=4x+16, one must first determine the points of intersection by setting the equations equal to each other. After finding the intersection points, the area can be calculated using definite integrals of the upper curve minus the lower curve. The discussion highlights the importance of showing work in problem-solving and encourages asking questions for clarification. Participants express support and good wishes for an upcoming exam, emphasizing a collaborative learning environment. The conversation reflects a focus on mathematical concepts and problem-solving strategies.
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One more problem that was giving me issues.

View attachment 797

Here's how I worked it out:
View attachment 798

Comments? Corrections?PS. Sorry for flooding the board with my problems. This is the last one for a bit! I have an exam coming up, and was shaky on some concepts. I get so anxious before exams. Can't hurt to ask smart people for help, hehe. I hope to have increased the knowledge base at least! Can't wait to relax after tonight's exam. (Beer)
 

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Looks perfect! (Cool)

By the way, you needn't worry about the number of questions you post, you are showing your work, and we have no "upper limit" on the number of questions asked.

Good luck with your exam tonight...I think you will do well! (Yes)
 
Hello http://www.mathhelpboards.com/members/akbarali/:)
Just to make it a little more 'difficult'
Determine the area of the region bounded by $$y=2x^2+10$$ and $$y=4x+16$$
Do you know how you would solve that one :)?

Regards,
$$|\pi\rangle$$
 
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