For my do-over blog, I thought about the prints that I have done this semester. Of all my prints, the one I liked the least was the first one. Due to my lack of experience with the software and 3D printing process, the resulting product was lackluster in my eyes. With this iteration, I wanted to take a look at the same functions I chose the first time around, and see if choosing a different domain would create an object that was more like the shape I desired. The goal was and is to create a bowl shaped object that looks good on my desk.
Throughout the semester we have covered a variety of topics and how their mathematical orientation applies to real world scenarios. One topic we discussed, and I would like to revisit, is integration over a region in a plane which involves calculating a double integral. Integrating functions of two variables allows us to calculate the volume under the function in a 3D space. You can see a more in depth description and my previous example in my blog post, https://ukyma391.blogspot.com/2021/09/integration-for-over-regions-in-plane_27.html . I want to revisit this topic because in my previous attempt my volume calculations were incorrect, and my print lacked structural stability. I believed this print and calculation was the topic I could most improve on and wanted to give it another chance. What needed Improvement? The function used previously was f(x) = cos(xy) bounded on [-3,3] x [-1,3]. After solving for the estimated and actual volume, it was difficult to represent in a print...
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