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Answered

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Please help me with this math problem

Please Help Me With This Math Problem class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  • 0.6 → -13.33333
  • 0.51 → -15.68628
  • 0.4 → -20.00000
  • 0.49 → -16.32653
  • 0.50 ⇒ -16

Step-by-step explanation:

For repetitive tedious calculations, it is convenient to let a spreadsheet or graphing calculator do them. The slope of the secant line is ...

  m = Δy/Δx = (4/x -8)/(x -1/2)

The attachment shows the table of values, along with the average of secant slopes much nearer the point of interest. That seems to suggest a suitable guess for the slope at x = 0.5 is -16.

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Additional comment

For y = 4/x, the derivative is y' = -4/x². The value of this at x = 1/2 is -16.

View image sqdancefan
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