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Question: 1. Find values of a and b so that the function f(x) = x2 + ax + b has a local minimum at the point (6, -5).
2. Find the value of a so that the function f(x) = xeax has a critical point at x = 3.
3. If m, n ≥ 2 are integers, find and classify the critical points of f(x) = xm(1 - x)n.
This paper will be the first hurdle of an IT project: preparation of a term project proposal which will include a background on our hypothetical IT project, a statement of need, a project definition, and a high level approach to developing the pla..
Evaluate integrals : a) integral of [dz/(1 - z )^3 ] , C is circle |z| = 1/2
Carmen needed to borrow money in order to buy a car so that she could commute to the local university. She saved $1,500, but when she started shopping she realized that $1,500 would not get her the car she needed.
Find the isosceles triangle of smallest area (Figure) that circumscribes a circle of radius 1 (from Thomas Simpson's The Doctrine and Application of Fluxions, a calculus text that appeared in 1750).
What is the probability that none of the people
Suppose the Environmental Protection Agency (EPA) would like to investigate the impact that octane has on gas mileage. The following table shows the gas mileage for six cars that were driven 1,000 miles with three different grades of gasoline: 87,..
Suppose a drainage pipe slopes downward 4 inches for each 11 foot horizontal stretch. What is the slope of the pipe? (Round your answer to two decimal places.)
A surveyor measures two sides and the included angle of a triangular tract of land to be 315.2 m, 464.3 m, and 65.5°.
Application of differential calculus: Maximization and Minimization and find what are the largest and smallest revenues your company can make under this deal?
what is the value of a stock that is expected to pay a constant dividend of 4 per year if the required return is 15?
How fast is the height of the pile increasing when the pile is 19 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by.
If weight in the general population is normally distributed with an average of 160 and a standard deviation of 20 pounds, what is the probability of selecting someone who weights 120 or less or 170 or more pounds?
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