Need Help with Calculus Assignment? Check Out These Solutions!

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SUMMARY

The forum discussion centers on a first-year university student's request for assistance with a calculus assignment that includes three questions. The student expresses confusion over the assignment's content, which differs from lecture material. Respondents suggest specific strategies, such as creating a function g(x) = f(x) - x to apply the Intermediate Value Theorem (IVT) and recommend exploring conic sections through visual aids. The shared assignment files are hosted on Sendspace for reference.

PREREQUISITES
  • Understanding of calculus concepts, particularly the Intermediate Value Theorem (IVT).
  • Familiarity with function creation and manipulation in calculus.
  • Basic knowledge of conic sections and their equations.
  • Ability to interpret and analyze mathematical problems visually.
NEXT STEPS
  • Study the Intermediate Value Theorem (IVT) and its applications in calculus.
  • Learn how to create and manipulate functions in calculus.
  • Research conic sections and their properties, including equations and graphs.
  • Practice visualizing mathematical problems through sketching and graphing techniques.
USEFUL FOR

This discussion is beneficial for first-year university students studying calculus, educators seeking to assist students with similar challenges, and anyone looking to enhance their understanding of function manipulation and conic sections.

sulai3
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Homework Statement


hello, i really need help with my calculus assignment please. i looked over it many times and still no idea how to do it, what we have for lectures is completely different from this first assignment. i am a first year student at university. i uploaded the assignment online at sendspace, it is the only first two pages, and there 3 questions. thank you. any help would be appreciated.
http://www.sendspace.com/file/51brfu


Homework Equations



http://www.sendspace.com/file/51brfu

The Attempt at a Solution



i really have no idea how to do it, that is why i really need your help on this. thank you
 
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You didn't really show that you made an attempt at a solution.

For b, try creating yourself a function (ie, maybe you can create a function g such that g(x) = f(x) - x). You know the sum of two continuous functions is continuous, so you can apply the IVT here.

2 is just conic sections (I believe that's what they are called) and you can figure it out by simply playing with the equations. Though you may want to draw some rough pictures to see what is going on.
 
i did have a look at it, i am having difficulties with it trying to even solve it, thank you for the information
 

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