Analyze the graph of f(x)=-2×5/3+4×4/3 (Answer Format: Unle…

Analyze the graph of f(x)=-2×5/3+4×4/3 (Answer Format: Unless the value is an integer, the answers are rounded to the nearest thousandth.) a) The function is increasing over the interval(s) [BLANK-1] and decreasing over the interval(s) [BLANK-2]. b) The function is concave upwards over the interval(s) [BLANK-3] and concave downward over the interval(s) [BLANK-4]. c) The RMIN occurs at x value(s) =[BLANK-5] and the RMAX occurs at x value(s) =[BLANK-6] d) Point of concavity occurs at x value(s) = [BLANK-7] e) The x-intercept(s) occur at x=[BLANK-8]

Answer Format: Do not enter $ sign nor decimals. Each answer…

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]  

Given the function: f(x)=3x4x3-8 a) Identify the vertical a…

Given the function: f(x)=3x4x3-8 a) Identify the vertical asymptote(s) of the function. Vertical Asymptote(s): x=[BLANK-1] b) Identify the horizontal asymptote(s) of the function. Horizontal Asymptote(s): y=[BLANK-2] c) Does the graph have a slant asymptote? Type yes or no [BLANK-3] d) The equation of the slant asymptote is y=[BLANK-4] (oops, I gave away part c).  (Answer Format: If there are multiple answers, separate with a comma. Write fractions in fractional form. {Example: -2/9,7} If there are no answers, write none. Only give the numerical value(s).)

The percent of concentration of a certain drug in the bloods…

The percent of concentration of a certain drug in the bloodstream x hourse after the drug is administered is given by:  K(x)=2xx2+25   How many hours after the drug is administered does the concentration in the bloodstream reach  a maximum? Do not enter the units. Unless the answer is a whole number, round to the nearest tenth of an hr.

Consider the Second Derivative Test to answer the questions….

Consider the Second Derivative Test to answer the questions. Suppose f(x) is a polynomial function with critical numbers x=1, x=2, and x=3. When the second derivative was evaluated at each number, the following results occurred:  f”(1)=50, f”(2)=-50, f”(3)=0  . From this information we can conclude;