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If the number of permutations of n objects taken r at a time is six times the number of combinations of n objects taken r at a time, determine the value of r. Is there enough information to determine the value of n? Why or why not?
Find dim V and dim W and calculate the dimension of V+W using the dimension formula
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
logarithms and exponents are inversely related. what does this mean mathematically and how can we use an inverse to
Solve the following Polynomials
Apply the mathematical model to solve problems
find the equation of a line that passes through the point 07 that is perpendicular to the line with the equation y
find the equation in standard form of the parabola passing through the points . 1-3 20
Graph the function f(x) = -|x| + 4 over the interval [-2,1]. Give the lower Riemann sum of f over this interval with respect to the partition- P = {-2, 0, 1}.
Write as a matrix product Ax=b. Find A^-1, the inverse. Solve the system for x, y, z and w
In a certain year, solar and wind energy generation totaled 1000 24 trillion BTUs. Wind generated 52 trillion BTUs more than eight times that generated by solar energy. How much was generated by each source?
Show specifically how row operations can be used to solve the matrix.
The length of a rectangular swimming pool is 2x-1 meters, and the width is x+2 meters. Write a polynomial A(x) that represents the area. Find A(5).
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