tiwontheballer1128 tiwontheballer1128
  • 23-01-2019
  • Mathematics
contestada

List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10.

Respuesta :

throwdolbeau throwdolbeau
  • 04-02-2019

Answer:

[tex]\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8[/tex]

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

                              = 10

[tex]\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}[/tex]

⇒ Number of equal intervals = 5

[tex]\textbf{Length of each interval = }\frac{10}{5}[/tex]

[tex]\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8[/tex]

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