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Social pyschologists have found that as the discrepancy between the views of a speaker and those of an audience increases, the attitude change in the audience also increases to a point but decreases when the discrepancy becomes too large, particulary if the communicator is viewed by the audience as having low credibility.
Suppose that the degree of change can be approximated by the function D(x) = -x4 + 8x3 + 80x2, where x is the discrepancy between the views of the speaker and those of the audience, as measured by scores on a questionairre. Find th amount of discrepancy the speaker should aim for to maximize the attitude change in the audience.
What is the shape of the cable that supports the roadway of a suspension bridge? Our model is based on the following simplifying instructions
Find the equation of the line and you can write your answer in the following form: p = mx + b. Normally in this class, you would probably use the "y = mx + b" format. You are basically substituting the variable "y" with "p".
Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
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Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
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A basket contains 6 red apples and 9 green apples . A sample of 5 apples is drawn. Find the probability that the sample contains
find the height to the nearest hundredth of a centimeter. use 3.14 for pi.
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at ..
Suppose that the reorder costs are now R + Sx, where R is the cost of reording exclusive of shipping cost, and S is the shipping charge per item The cost function is now: C(x)= Hx/2 + D(R+Sx)/x Find the lot size, in terms of D, H, R and S, that wi..
Problem 1: Given that f (x) = 5x - 7 and g (x) = 5 - x2, calculate
Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?
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