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

  • Context: MHB 
  • Thread starter Thread starter akbarali
  • Start date Start date
  • Tags Tags
    Area Curves
Click For Summary
SUMMARY

The discussion focuses on calculating the area between the curves defined by the equations y=2x^2+10 and y=4x+16. The user seeks assistance in determining the bounded area, indicating a need for clarity on integration techniques. The problem highlights the importance of understanding the intersection points of the curves to set up the integral correctly. The conversation also emphasizes the supportive nature of the forum for users preparing for exams.

PREREQUISITES
  • Understanding of integral calculus
  • Knowledge of finding intersection points of functions
  • Familiarity with the concept of area between curves
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Learn how to find intersection points of curves using algebraic methods
  • Study the process of setting up definite integrals for area calculations
  • Explore techniques for integrating polynomial functions
  • Review examples of area between curves in calculus textbooks
USEFUL FOR

Students preparing for calculus exams, educators teaching integral calculus, and anyone interested in mastering the concept of area between curves.

akbarali
Messages
19
Reaction score
0
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)
 

Attachments

  • Area-Q.jpg
    Area-Q.jpg
    17.3 KB · Views: 87
  • Area-A.jpg
    Area-A.jpg
    20 KB · Views: 85
Last edited:
Physics news on Phys.org
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,
$$|\pi\rangle$$
 

Similar threads

MHB Finding Area under x^2-16 Curve: ∫_2^5
  • · Replies 2 ·
Replies
2
Views
1K
MHB What is the area of the region bounded by the given curves and lines?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Find the Area of x^2+2x-3 Region
  • · Replies 2 ·
Replies
2
Views
2K
MHB What is the area bounded by y = 8 – 2x - x^2 and the x-axis?
  • · Replies 3 ·
Replies
3
Views
3K
MHB What is the area between the functions $y = |2x|$ and $y = x^2 - 3$?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Trying to find the area between two curves
  • · Replies 2 ·
Replies
2
Views
3K
MHB Finding the area bounded by the curves
  • · Replies 11 ·
Replies
11
Views
3K
MHB Area between two trigonometric curves.
  • · Replies 4 ·
Replies
4
Views
3K
Find the minimum value of area under y = 4x - x^3
  • · Replies 7 ·
Replies
7
Views
2K
MHB Finding Area Under Parametric Curves: What Formula Should You Use?
  • · Replies 3 ·
Replies
3
Views
2K