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Module 7 - Group Discussion: Find the Area - Mod 7 DB Group 4 Find, Explain, & Post For this discussion, you will work in groups to find the area and answer questions

Math Aug 01, 2020

Module 7 - Group Discussion: Find the Area - Mod 7 DB Group 4

Find, Explain, & Post

Icon of colorful people and speach bubbles with group discussion label.For this discussion, you will work in groups to find the area and answer questions.

Find the approximate area under the curve by dividing the intervals into LaTeX: nn subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you LaTeX: n_1n 1and LaTeX: n_2n 2.

  • LaTeX: y=2x\sqrt{x^2+1}y = 2 x x 2 + 1  between LaTeX: x=0x = 0 and LaTeX: x=6x = 6 for LaTeX: n_1n 1and LaTeX: n_2\:n 2
  • Find the exact area under the curve using integration LaTeX: y=2x\sqrt{x^2+1}y = 2 x x 2 + 1 between LaTeX: x=0x = 0 and LaTeX: x=6x = 6

Explain the reason for the difference in your answers.

Submit your initial post by the fourth day of the module week.

Review & Discuss 

After you have completed your post, compare and contrast your work to that of your classmates. Engage in a dialogue with your group, addressing one or more of the following areas:

  • Do you agree with the work and explanations?
  • Where are the errors in the proposed solutions (mine or classmates')?
  • Which solution is correct? Why? Is there more than one way to get to the correct solution?
  • Are some of the explanations clearer than others? What makes them easier to understand?
  • Do you have suggestions for improvement?
  • Have we each given thorough explanations for our work?

Reply to at least two classmates with corrections to their solutions/explanations or with observations about their solutions.

Your instructor is looking for your explanations and how you approached the problem even more so than having the correct solution. Of course, getting the correct answer is also desirable! 

Review the Discussion Rubric for detailed grading information.

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