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Question: For any constant a, let f(x) = ax - x ln x for x > 0.
(a) What is the x-intercept of the graph of f(x)?
(b) Graph f(x) for a = -1 and a = 1.
(c) For what values of a does f(x) have a critical point for x > 0? Find the coordinates of the critical point and decide if it is a local maximum, a local minimum, or neither.
I was one-tenth of a mile from the intersection, while she was three-twentieths of a mile from it. How fast were we approaching each other at that instant?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
Assume interest rates for bonds today is 5% for an AAA rated bond. Calculate the price of the bond you have selected relative to the 5%. Is the bond selling at a premium or a discount? Why? Be sure to show how you arrived at your answer. What othe..
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
The product of two consecutive positive integers is 11 more than their sum. Find the Integers?
What is the area in square inches of an ordinary piece of copier paper? What is the volume in cubic feet of a greenhouse that is 20 feet long, 15 feet wide, and 10 feet high? How many square centimeters are in 1 square foot
Jam buys 12 pens for $10.Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy for $15.Then solve your proportion for the number of pens.
Find a recurrence relation for the number of ways to lay out a walkway with slate tiles if the tiles are red, green, or gray, so that no two red tiles.
Product Line Profitability Analysis Studemeir Paint & Floors (SPF) has experienced net operating losses in its Other Flooring Products line during the last few periods. Prepare a product-line profitability report for SPF under the current costing s..
Mark, a college sophomore, is unsure of his career choice. He was majoring in technology, but he had an internship in computer programming last year and was bored to tears.
time lost due to employee absenteeism is an important problem for many companies. the human resources department of
An expensive fencing along the lots length costs $20 per fott and an inexpensive fencing along the two side widths costs only $8 per foot. the total cost of the fencing along the three sides comes to $3280. What is the area of the lot?
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