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Question: 1. For some constant b and x > 0, let y = x ln x-bx. Find the equation of the tangent line to this graph at the point at which the graph crosses the x-axis.
2. Find the limit as x → -∞.
cosh(2x)/sinh(3x)
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
question from the top of a lighthouse 136 ft above the surface of the water the angle of depression of a boat is
A rectangle is inscribed in a circle of radius 10m. The are of the rectangle is 160m^2. What is the perimeter of the rectangle?
Find the distance of the point (1,2,3) from the line x=y=z. Find the distance between the lines x-1=2y=z and x=-t+3y, y=3t, z=5.
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them.
sketch the graph of a fuction whose domain eqauls the interval [1,3] and whose range equals the interval [-2,4]
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.
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
Please solve for the following system of equations. Include all of the steps which are involved:
This is a continuation of the first and second assignments and uses your accumulated research. Imagine you are two different lobbyists, supporting two different sides of the policy issue you wrote about in Assignment 2.
Locate your local Chamber of Commerce's community profile either online or in printed material that describes your local community. Write a three to four (3-4) page paper on the following:
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