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Problem 1:
A tank contains 100 gal of brine may by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4gal/min and the mixture, which is kept uniform by stirring, runs out at the same rate. Find the amount y(t) of salt in the tank at any time t.
Problem 2:
For a continuous and onto function F from [0,2] to [0,4]. Show that F(x) = 2x for some .
Problem 3:
2011 students standing in a row, each of a different height. In how many ways can you arrange them such that there are never three of them (not necessarily next to each other) with the tallest in the middle? Explain.
Fields are an important algebraic structure, and complex numbers have that structure - verify that the fifth roots of unity form a group under complex multiplication, showing all work.
Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. Also what type of situations would distribution become important?
as a fundraiser a school is selling posters. the printer charges a 24 set up fee plus 0.20 for each poster. then the
Linear equations in augmented form.
In each part find as many linearly independent eigenvectors as you can by inspection (by visualizing the effect of the transformation of R^2). For each of your eigenvectors, find the corresponding eigenvalue by inspection; then check your results ..
What is the definition of a project stakeholder? Why do you think it is critical to manage stakeholder relationships and how is this connected to project control?
the perimeter of a rectangle is 68 ft. the ratio of its length to its width is 9 8. what are the dimensions of the
a high speed train travels from chicago to denver at an average speed of 90 miles per hour but can make the return trip
A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).
Describe the rotation f g. Let h be the reflection in the plane orthogonalto the vector 2i - j + 3k. Describe the reflection f h.
Suppose $1000000.00 will be recieved after 25 years. Find the value 5 years from now (t=5), V(5), assuming continuous compounding at the rate
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