Hi,I need help in completing the attached calculus exam. All the instructions are in the attached file. Please show all work. Solutions need to be neatly Handwritten and scanned.Thanks

Solve the problem below. Copy the description of your forecast in the box below and include that as part of your initial Discussion post in Brightspace. Using "copy" from here in Mobius and "paste" into Brightspace should work.Hint: The chart is taken from https://ourworldindata.org/technological-progress.From the chart, estimate (roughly) the number of transistors per IC in 2018. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?In some applications, the variable being studied increases so quickly ("exponentially") that a regular graph isn't informative. There, a regular graph would show data close to 0 and then a sudden spike at the very end. Instead, for these applications, we often use logarithmic scales. We replace the y-axis tick marks of 1, 2, 3, 4, etc. with y-axis tick marks of 101 = 10, 102 = 100, 103 = 1000, 104 = 10000, etc. In other words, the logarithms of the new tick marks are equally spaced.Technology is one area where progress is extraordinarily rapid. Moore's Law states that the progress of technology (measured in different ways) doubles every 2 years. A common example counts the number of transitors per integrated circuit. A regular y-axis scale is appropriate when a trend is linear, i.e. 100 transistors, 200 transistors, 300 transistors, 400 transistors, etc. However, technology actually increased at a much quicker pace such as 100 transistors,.1,000 transistors, 10,000 transistors, 100,000 transistors, etc.The following is a plot of the number of transistors per integrated circuit over the period 1971 - 2008 taken from https://ourworldindata.org/technological-progress (that site contains a lot of data, not just for technology). At first, this graph seems to show a steady progression until you look carefully at the y-axis ... it's not linear. From the graph, it seems that from 1971 to 1981 the number of transistors went from about 1,000 to 40,000. Moore's Law predicts that in 10 years, it would double 5 times, i.e. go from 1,000 to 32,000, and the actual values (using very rough estimates) seem to support this.The following is the same plot but with the common logarithm of the y-axis shown. You can see that log(y) goes up uniformly.(the map is attach)Questions to be answered in your Brightspace Discussion:Part a: The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992?Prediction = Part b: From the chart, estimate (roughly) the number of transistors per IC in 2018. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?Part c: Do you think that your prediction in Part b is believable? Why or why not?

Discussion: Using Critical Thinking to Make Decisions  You solve problems every day. Some problems are more critical than others. Do you take a job in another state? What car do you purchase? What’s for dinner tonight? Some small decisions (such as, burgers or pizza for dinner) might not require much debate, and the outcome is not critical for your long-term future. However, other decisions, such as moving for a job or which car to purchase, can have long-term consequences. Having a process to make such big decisions increases the possibility of a successful outcome.  For this Discussion, you will consider a multi-step process for improving your critical thinking skills and how it might apply to making life decisions. To prepare for this Discussion: Review the TED Talk on the five steps to improve your critical thinking, taking note of the five steps mentioned in the video. Select a major life decision you have made or plan to make shortly. Make sure it is something you are willing to share with the class.  Think about how you might apply the five-step process to your major life decision. Think about how each of the five steps applies or applied to your decision. Post at least 2 paragraphs in response to the following prompts:  Describe a major life decision you have made or plan to make.  Explain each of the five steps as it applies to your situation. Write a minimum of 3 sentences for each step. You can use the transcript for the video to reference specifics without rewatching the whole video.  Agoos, S. (2016, March). 5 tips to improve your critical thinking [Video]. TED Conferences. https://www.ted.com/talks/samantha_agoos_5_tips_to_improve_your_critical_thinking