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Consider the following function:
f(x) = 6 x^2 -10x +8 +ln(x)
Find all possible inflection points in (x, f(x) ) form. Write the answer in its simplest form or as a decimal rounded to the nearest thousandth. (If necessary, separate your answers with commas.)
A bicycle costs $245 and sells for $395. Find the percent of markup based on cost. Round to the nearest tenth percent.
Assuming there is no cost, what is the expression for the cost of the finished stone and identify the different terms in it.
When simplifying the rational expression below, explain why it is improper to cancel out the x's. State a general rule for canceling factors in a rational expression and give an example of how this rule would be used. X+8 /x+2.
A plane carries enough fuel for 20 hours of flight at an airspeed of 150 miles per hour. How far can it fly into a 30 mph headwind and still have enough fuel to return to its starting point? (This distance is called the point of no return)
a boat traveled downstream a distance of 33 mi and then came right back. if the speed on the current was 12 mph and
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
What is the length of the wave that gives the minimum velocity?
Dream Donuts, Inc. has determined that when x donuts are made daily, the profit P (in dollars) is given by
Suppose one mass is held fixed at the point (1,0) on the x-axis (units in meters). How much work is required to move a second mass along the x-axis from the point (-1,0) to the origin?
A function and how it is to be shifted is given. Find the shifted function and then display the given function and the shifted function on the same screen.
AIR POLLUTION The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach.
Find the drawdown at a distance 100 meters from the pumping source. Find the particular solution subject to the initial condition that the drawdown at some given distance r = R from the pumping source.
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