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Find the slope of the tangent line to f(x) = e2X2+3x at the point where x = 0.
The function g is differentiable, and the tangent line to the graph of y = g(x) at x = -5 is y = 2x - 2. Let f(x) = -3g(x) + 5x + 5. Give f' (-5).
Discuss any specific statistical results that would help the Beltway Shoes Marketing Department understand the regional shoe market.
a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
A small business buys a computer for $3700. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time.
Rewrite the constraint in standard form: y > -3x + 14
What are the similarities and differences with simple algebra and boolean algebra?
A consumer is trying to decide between two long-distance calling plans. The first charges a flat rate of 10¢ ($0.10) per minute,
Nick can throw a baseball three more than 4 times the number of feet, f, that Jeff can throw the baseball. Which numbered expression can be used to find the number of feet that Nick can throw the ball?
A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one.
the crash cost per day per activity.
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
a chemist needs 140 ml of a 41% solution but has only 33% and 61% soultions available. Find how many millileters of each should be mixed to get the desired solution.
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
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