Introductory Calculus-practice questions

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Discussion Overview

The discussion focuses on introductory calculus practice questions, specifically targeting topics such as straight line graphs, quadratics, cubics, root functions, and completing the square. Participants are seeking and providing various practice problems related to these concepts.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant requests practice questions on straight line graphs, quadratics, cubics, root functions, and completing the square.
  • Another participant proposes a quadratic equation and asks for the values of "m" that would yield one solution, two distinct real solutions, or no real solutions.
  • A different participant presents a problem involving completing the square with a general quadratic expression.
  • Another participant asks for the equation of a line that is parallel to a given line and passes through a specific point.

Areas of Agreement / Disagreement

There is no explicit agreement or disagreement noted among participants, as the discussion primarily consists of requests for practice problems and proposed questions.

Contextual Notes

The discussion does not clarify any assumptions or dependencies on definitions related to the mathematical concepts presented.

Who May Find This Useful

Students in early calculus courses or those preparing for introductory calculus topics may find this discussion useful for practice and problem-solving.

hds29ka
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Greetings,

Note:I am in my eleventh year of school, thus not into 'real' calculus yet; or in university, for that matter.

I was wondering if someone may have some practice questions-fore me attempt, on the following sub-headings:
  • straight line graphs
  • Quadratics
  • cubics/root functions, 1/f(x)
  • completing the square

Thankyou,
 
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For what values of "m" the following quadratic equation will have: a) exactly one solution
b) two distinct real solutions c) No real solution
[tex]x^{2}+2mx+3m[/tex]

P.S.I made it up at the top of my head.
 
Complete the square:
[tex]ax^2+bx+c[/tex]

Find x:
[tex]\sqrt{x}-\sqrt{x-1} = 3[/tex]
 
find the equation of a line that passes through the point (1,3) and is parallel to the line 2x+y-4=0
 

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