Difference: DiagnosticTest (1 vs. 18)

Revision 182007-11-29 - Main.DickFurnas

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Diagnostic Tests:

  • What is an answer?
Changed:
<
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    • Local BEGINANSWER = Pencil / Refactor / Edit






Revision 172007-05-13 - Main.DickFurnas

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Diagnostic Tests:

  • What is an answer?

Revision 162007-04-23 - Main.DickFurnas

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Diagnostic Tests:

  • What is an answer?
Changed:
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    • Local BEGINANSWER = REFACTOR






Revision 152007-04-21 - Main.DickFurnas

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Diagnostic Tests:

  • What is an answer?
Changed:
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      <--
      
    • Set# SHOWWORK =

      Revision 142007-04-12 - Main.mst1

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      Diagnostic Tests:

      • What is an answer?
      Changed:
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          <--
          
        • Set SHOWWORK =

          Revision 132007-04-12 - Main.DickFurnas

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          Diagnostic Tests:

          Added:
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          • What is an answer?
            • Set BEGINANSWER = pencil
              <--
              
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              Revision 122007-04-12 - Main.DickFurnas

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              Diagnostic Tests:

              Welcome to the Math Support Center!
              Deleted:
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              <--/twistyPlugin twikiMakeVisibleInline-->
               Link to: MathTest for example MathMode syntax.
              Changed:
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              pencil






               
              Table of Contents
              Line: 30 to 25
               

              1.

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              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.

              Revision 112007-04-10 - Main.DickFurnas

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              Diagnostic Tests:

              Line: 48 to 48
               
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              2.

              Revision 102007-04-10 - Main.DickFurnas

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              Diagnostic Tests:

              Welcome to the Math Support Center!
              Changed:
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              Link to: MathTest
              >
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              <--/twistyPlugin twikiMakeVisibleInline-->

              Link to: MathTest for example MathMode syntax.

              <--/twistyPlugin-->

              <--/twistyPlugin twikiMakeVisibleInline-->

              What further explanation could you possibly want here???

              <--/twistyPlugin-->
               
              Table of Contents
              Line: 13 to 28
                Combine and simplify expressions as much as possible.
              Solve equations for x.
              Deleted:
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              • Cannot be simplified.
              • however, if we are told further that then we have a common factor in the denominator:
                • , provided

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              4.

              %TWISTY{mode="div" showlink="Show Solution..." hidelink="Hide Solution"
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              • No algebraic simplification.
              • however... A beautiful geometric simplification is possible:
                • is the hypotenuse of the right triangle with sides and

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              9.

              <--/twistyPlugin twikiMakeVisibleInline-->

              Alternatively:

              Recall Pascal's Triangle:

                              1    1
                           1    2    1
                        1    3    3    1
                     1    4     6    4     1
                  1    5   10   10    5    1
              

              ...in which elements in a row are the sum of the two elements in the row above it. These numbers are the Binomial Coefficients. is the cube of the binomial so the coefficients can be taken from the third row above: 1  3  3  1 and the exponents on start with and count down, while the exponents on start with and count up:

              which simplifies to:

              as previously.

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              if a product is zero one of its factors must be zero so:

              either or or

              and either or or

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              12.

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              • Rearrange so the equation is of the form:
              • and use the Quadratic Formula:
              <--/twistyPlugin-->
              <--/twistyPlugin-->
               

              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.
              Changed:
              <
              <
              1. Convert:
                1. to radians.
                2. to degrees.
                3. to radians.
              2. Evaluate:
              3. Sketch the graph of
              >
              >

              1. Convert:

              a. to radians.

              b. to degrees.

              c. to radians.

              2. Evaluate:

              a.

              b.

              c.

              3. Sketch the graph of

                (Make your vertical scale as large as possible.)
              Changed:
              <
              <
              1. Given
              2. Solve the following right triangle:
              >
              >

              4. Given

              5. Solve the following right triangle:

                ( i.e. determine missing sides and angles.)
              Changed:
              <
              <
              1. Relate to and
                1. %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
                2. %#$\mbox{ \small $\sin{2\theta}$ }$%
              2. Express in terms of of
              >
              >

              a.

              b.

              c.

              6. Relate to and

              a.

              b.

              c.

              7. Express in terms of and of and :

               

              Revision 92007-04-08 - Main.DickFurnas

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              2.

               
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              Revision 82007-04-06 - Main.DickFurnas

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              Diagnostic Tests:

              Line: 8 to 8
               
              Table of Contents
              Added:
              >
              >
               

              Algebra

              Added:
              >
              >
               Combine and simplify expressions as much as possible.
              Solve equations for x.
              Changed:
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              <
              >
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              1.
               
               
               
               
               
               
               

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              Revision 72007-03-08 - Main.dsa2

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              Diagnostic Tests:

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              Revision 62007-03-08 - Main.DickFurnas

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              Diagnostic Tests:

              Line: 12 to 12
               Combine and simplify expressions as much as possible.
              Solve equations for x.

              Added:
              >
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              Changed:
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              Revision 52007-03-03 - Main.DickFurnas

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              Diagnostic Tests:

              Line: 34 to 34
               
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              1. Sketch the graph of
                (Make your vertical scale as large as possible.)
              2. Given
              3. Solve the following right triangle:
                ( i.e. determine missing sides and angles.)
              4. Relate to and
                1. %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
                2. %#$\mbox{ \small $\sin{2\theta}$ }$%
              5. Express in terms of of
               

              Revision 42007-03-02 - Main.DickFurnas

              Line: 1 to 1
              Changed:
              <
              <

              Cornell University Mathematics Support Center

              >
              >

              Diagnostic Tests:

               
              Welcome to the Math Support Center!

              Link to: MathTest

              Table of Contents
              Changed:
              <
              <

              Diagnostic Tests

              Algebra

              Simplify, if possible:
              >
              >

              Algebra

              Combine and simplify expressions as much as possible.
              Solve equations for x.
               
              Changed:
              <
              <
              >
              >
               
              Changed:
              <
              <

              Trig

              >
              >

              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.
              1. Convert:
                1. to radians.
                2. to degrees.
                3. to radians.
              2. Evaluate:
               

              Revision 32007-03-01 - Main.DickFurnas

              Line: 1 to 1
               

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Line: 33 to 33
               

              -- DickFurnas - 01 Mar 2007

              Added:
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              META TOPICMOVED by="DickFurnas" date="1172782266" from="Main.MathSupportCenter" to="MSC.DiagnosticTest"

              Revision 22007-03-01 - Main.DickFurnas

              Line: 1 to 1
               

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Added:
              >
              >
              Link to: MathTest
               
              Table of Contents

              Diagnostic Tests

              Algebra

              Changed:
              <
              <
              Simplify:
              >
              >
              Simplify, if possible:
               
              Changed:
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              >
              >
               

              Trig

              Added:
              >
              >
               

              -- DickFurnas - 01 Mar 2007

              Revision 12007-03-01 - Main.DickFurnas

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              Added:
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              >

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Table of Contents

              Diagnostic Tests

              Algebra

              Simplify:

              Trig

              -- DickFurnas - 01 Mar 2007

               
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