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if q is the point (x, 3/(2 − x)), use your calculator to find the slope mpq of the secant line pq (correct to six decimal places) for the following values of x.

Sagot :

According  to the given data the slope mpq of the secant line pq  for the following values of x are :

  • m for x
  • 3.333333 for 2.9
  • 3.030303 for 2.99
  • 3.003003 for 2.999
  • 3.00030003 for 2.9999
  • 2.727272 for 3.1
  • 2.90297 for 3.01
  • 2.997002 for 3.001
  • 2.999700 for 3.0001

What is the definition of the slope inside a graph?

The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.

How do you calculate slope?

Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.

According to the given data:

Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

so,

m for x

3.333333 for 2.9

3.030303 for 2.99

3.003003 for 2.999

3.00030003 for 2.9999

2.727272 for 3.1

2.90297 for 3.01

2.997002 for 3.001

2.999700 for 3.0001

this shows that the  slope m for the required x.

To learn more about slope visit:

https://brainly.com/question/12929041

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I understand that the question you are looking for is:

The point P(3, −3) lies on the curve y = 3/(2 − x).

If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.

i. 2.9 =

ii 2.99 =

iii. 2.999 =

iv.2.9999 =

v. 731

vi. 3.01

vii. 3.001

viii. 3.0001

a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)

b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).

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