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

  • MHB
  • Thread starter akbarali
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In summary, the person had one more problem that was causing them trouble and asked for feedback or corrections. They mentioned having an upcoming exam and feeling anxious, but appreciated the help from others and expressed excitement for after the exam. They also asked for help with another math problem and wished the person luck with their exam.
  • #1
akbarali
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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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  • #2
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)
 
  • #3
Hello http://www.mathhelpboards.com/members/akbarali/:)
Just to make it a little more 'difficult'
Determine the area of the region bounded by \(\displaystyle y=2x^2+10\) and \(\displaystyle y=4x+16\)
Do you know how you would solve that one :)?

Regards,
\(\displaystyle |\pi\rangle\)
 

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

What is the formula for finding the area between two curves?

The formula for finding the area between two curves is ∫[a,b] (f(x) - g(x)) dx, where f(x) and g(x) are the two curves and a and b are the bounds of the region.

How do you determine the bounds of the region for finding the area between two curves?

The bounds of the region can be determined by finding the points of intersection between the two curves. These points will be the values of a and b in the formula.

Can the area between two curves be negative?

Yes, the area between two curves can be negative if the upper curve is below the lower curve for some values of x. This indicates that the lower curve is above the upper curve in that region.

What is the significance of finding the area between two curves?

Finding the area between two curves is important in many applications, such as calculating volumes of irregular shapes or determining the work done by a variable force. It also helps visualize the relationship between two functions and can be used to find the average value of a function.

Are there any limitations to using the formula for finding the area between two curves?

Yes, there are some limitations to using the formula. It only works for continuous functions and can only find the area between two curves on a specific interval. It also assumes that the area is bounded by the x-axis and the two curves, and does not account for any other boundaries. Additionally, the formula may be difficult to use for complex or overlapping curves.

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