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Given the sign chart for the derivative below, choose the -value where the function has a relative maximum. Select all correct answers.  

The revenue function for a certain item is , where is the quantity of the items sold. Given that [m]00 and [k], estimate the revenue when 2[b] items are sold. (You don’t need to type the units.)  

The revenue function for a certain item is , where is the quantity of the items sold. Given that [m]00 and [k], estimate the revenue when 2[b] items are sold. (You don’t need to type the units.)  

Given the sign chart for the derivative below, choose the -value where the function has a relative minimum. Select all correct answers.  

The graph below shows the derivative of the function . At which -value(s) does the original function have an inflection point? Select all correct answers.

The graph below shows a function . Select the correct sign for each value. (a) At point A: is [a1],   is [a2],   is [a3]. (b) At point B: is [b1],   is [b2],   is [b3].  

The sign charts of the first and second derivatives of a function are given below. At which of the following -values is the original function increasing and concave down?  

The graph below shows a function . Select the correct sign for each value. (a) At point A: is [a1],   is [a2],   is [a3]. (b) At point B: is [b1],   is [b2],   is [b3].  

DNA is related to protein synthesis, which is related to Mendel’s Laws. In 1-2 paragraphs: Briefly explain how DNA relates to protein synthesis. This should not overlap with the information provided in Question 1 as the focus is now on examples of the type of protein (2 points). Provide an example of two siblings by explaining WHY they look similar (2 points) yet different (2 points) based on their DNA and protein synthesis.  Explain how Mendel’s Laws relate to proteins and DNA(2 points). Use the example from above with the two siblings again. Why are some of their traits similar (2 points) and some of them different (2 points) based on their DNA and simple Mendelian genetics? Extra credit for connecting this information back to meiosis. 

Nothing in life is perfect. In one paragraph, EXPLAIN at least three ways DNA is not perfect. These reasons can be due to internal (accidental stop codon) or external conditions (sun damage). It is not enough to state the ways that DNA replication or Protein synthesis make mistakes; you MUST be sure to indicate where in these processes the mistakes are made and how they can harm or help us.  3 points for each reason DNA is not perfect: 1 point to explain and 2 points for the use of vocabulary terms in your reasoning.