Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for- mulas and Riemann sums. Consider the function f(x) = cos z. Estimate the area under the curve, above the r axis and between x = 0 and = 7 using the following Riemann sums. On each part, clearly state the value of Ax, clearly state which points (on a graph, for example) you are using for rectangles, and show the setup of the calculation. You are encouraged to use a spreadsheet or Wolfram Alpha to do the actual calculation. Keep the approximations to 4 decimal places. 1. Sketch the curve and draw approximating rectangles 2. left-endpoint approximation, n = 4 3. right endpoint endpoint approximation, n = 4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for-
mulas and Riemann sums. Consider the function f(x) = cos z. Estimate the area under the curve, above
the r axis and between x = 0 and = 7 using the following Riemann sums. On each part, clearly state
the value of Ax, clearly state which points (on a graph, for example) you are using for rectangles, and show
the setup of the calculation. You are encouraged to use a spreadsheet or WolframAlpha to do the
actual calculation. Keep the approximations to 4 decimal places.
1. Sketch the curve and draw approximating rectangles
2. left-endpoint approximation, n = 4
3. right endpoint endpoint approximation, n = 4
Transcribed Image Text:Learning Target INT2: I can calculate the area between curves, net change, and displacement using geometric for- mulas and Riemann sums. Consider the function f(x) = cos z. Estimate the area under the curve, above the r axis and between x = 0 and = 7 using the following Riemann sums. On each part, clearly state the value of Ax, clearly state which points (on a graph, for example) you are using for rectangles, and show the setup of the calculation. You are encouraged to use a spreadsheet or WolframAlpha to do the actual calculation. Keep the approximations to 4 decimal places. 1. Sketch the curve and draw approximating rectangles 2. left-endpoint approximation, n = 4 3. right endpoint endpoint approximation, n = 4
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