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 one year ago
Write a Riemann sum and then a definite integral representing the area of the region, using the strip shown in the figure below where a = 6 and b = 12. Evaluate the integral exactly. Use your work to answer the questions below.
http://www.webassign.net/hgmcalc/812alt.gif
 one year ago
Write a Riemann sum and then a definite integral representing the area of the region, using the strip shown in the figure below where a = 6 and b = 12. Evaluate the integral exactly. Use your work to answer the questions below. http://www.webassign.net/hgmcalc/812alt.gif

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Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0What is the approximate area of the strip with respect to x?

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0the Riemann sum is often written\[\sum_{i=0}^nf(x_i^*)\Delta x;~~~\Delta x=(\frac{ba}n);~~~x_i^*=a+i\Delta x\]

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0yeah I know I'm having trouble coming up with a formula for the area of the strip

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0the strip is a trapezoid, so you can use the formula\[A=(\frac{b_1+b_2}2)h\]in this case, the height of the trapezoid is \(\Delta x\) and the bases are the value of the function at two different points.

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0(a/b)=(x/?) right? .....whats "?"

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0I do not know what formula you are using

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0trying to use similar triangle

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0guess that doesn't work out

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0b_1 and B_2 has to be something (a?) but i dont know how to find it

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0how would you approximate area of the strip with respect to x?

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0the way your picture is, \(x\) seems to be going from right to left, and \(x+\Delta x\) the left side, so the bases are \(f(x)\) and \(f(x+\Delta x)\)

Ldaniel
 one year ago
Best ResponseYou've already chosen the best response.0\[Delta(x) \times(x/2)\]

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0it will be\[\Delta x[\frac{f(x)+f(x+\Delta x)}2]\]so you need to figure our what f(x) is. Remember that this is a line; you can fine its slope.
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