Use Riemann sum to approximate int,int_R x/y dA, R=[0,6]x[1,5] w/ m=3, n=2

[smith1993123]

\(\displaystyle \mbox{Use a Riemann sum to approximate }\,\)\(\displaystyle \displaystyle \iint \limits_R\, \dfrac{x}{y}\, dA,\)

. . . . .\(\displaystyle \mbox{where }\, R\, =\, [0,\, 6]\, \times\, [1,\, 5],\, \mbox{ using }\, m\, =\, 3\, \mbox{ and }\, n\, =\, 2.\)

. . . . .\(\displaystyle \mbox{a. Take the sample points to be lower-left corners.}\)

. . . . .\(\displaystyle \mbox{b. Take the sample points to be upper-right corners.}\)

. . . . .\(\displaystyle \mbox{c. Take the sample points to be midpoints.}\)

 

[Deleted member 4993]

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[stapel]

\(\displaystyle \mbox{Use a Riemann sum to approximate }\,\)\(\displaystyle \displaystyle \iint \limits_R\, \dfrac{x}{y}\, dA,\)

. . . . .\(\displaystyle \mbox{where }\, R\, =\, [0,\, 6]\, \times\, [1,\, 5],\, \mbox{ using }\, m\, =\, 3\, \mbox{ and }\, n\, =\, 2.\)

. . . . .\(\displaystyle \mbox{a. Take the sample points to be lower-left corners.}\)

. . . . .\(\displaystyle \mbox{b. Take the sample points to be upper-right corners.}\)

. . . . .\(\displaystyle \mbox{c. Take the sample points to be midpoints.}\)

Okay. They gave you a formula, from which the "m" and the "n" are referenced. What have you done with plugging the given information into the given formula, and applying the explained algorithm? Where are you stuck?

When you reply, please start with your book's particular formula, so we can know what they're meaning by the "m" and the "n", and continuing on with your steps, as far as you've been able to get. Thank you!