Decide if the given value of x is a critical number for f, and if so, decide whether the point for x on f is a relative minimum, relative maximum, or neither. f(x) = (x2 – 6)(2x – 3); x = 1/2

S(x) = -x3 + 6×2 + 288x + 4000, 4 ≤ x ≤ 20 is an approximation to the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.

Answer Format: Do not enter $ sign nor decimals. Each answer will be a whole number. An office supply company sells x mechanical pencils per year at $p per pencil. The price equation for these pencils is p=10 – 0.001x. Determine the revenue function (R=xp) and use it along with its derivative to find: a) how many pencils must be sold in order to maximize revenue. x=[BLANK-1] b) the maximum revenue. R = $ [BLANK-2] c) the price (p) that yields maximum revenue. p = $ [BLANK-3] Furthermore, suppose cost is C(x)=5000 + 2x. Use this and the above information to answer the following. d) how many pencils must be sold to maximize profit (P=R-C)? x=[BLANK-4] e) find the maximum profit. P = $ [BLANK-5]  

Use derivatives to answer the following about:  f(x)=x2x2+7 a) The points ±213, 14  are [BLANK-1] b) The points ±212, 14  are [BLANK-2] c) The point (0,0) is a(n) [BLANK-3]. d) The function does not have a [BLANK-4].

Find the values of any relative extrema. f(x)=x2+1×2   (Choose all that apply)

Apple’s macOS and Microsoft Windows are examples of ________ software.

Which of the following is not true about VOIP?

According to the summary table, what is the primary focus of steps 5 through 7 (Establishing Goals, Specifying Objectives, and Specifying Action Steps)?

In the URL: http://www.microsoft.com/surface/howitworks.html, the portion labeled “.com” is the ________.

Which of the following is not a description of the unique identification number assigned to your computer when you connect to the Internet?