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____ [38]
3 years ago
8

Subtract x/x^2-36-6/x^2-36

Mathematics
2 answers:
QveST [7]3 years ago
8 0
<span>      x                       6
-------------    -    -------------
  x^2 - 36       </span>    x^2 - 36

      x - 6                   
= ----------------
  (x + 6)(x - 6) 

        1                  
= ----------
      x + 6           
ch4aika [34]3 years ago
6 0

Answer:

x + 6; where x ≠ -6, +6

Step-by-step explanation:

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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra
Rainbow [258]

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x = t

y = 1 - t

z = 2t

Step-by-step explanation:

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x=t

y=e^{-t}

z=2t-t^2

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The vector equation is given as:

r(t) = (x,y,z)

Substitute values for x, y and z

r(t) = (t,\ e^{-t},\ 2t - t^2)

Differentiate:

r'(t) = (1,\ -e^{-t},\ 2 - 2t)

The parametric value that corresponds to (0, 1, 0) is:

t = 0

Substitute 0 for t in r'(t)

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r'(0) = (1,\ -1,\ 2 - 0)

r'(0) = (1,\ -1,\ 2)

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

r(t) = a + tv

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The equation becomes:

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By comparison:

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The parametric equations for the tangent line are:

x = t

y = 1 - t

z = 2t

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