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Find the solution to the given system that satisfies the initial condition
x'(t)= [0,2;4,-2]x(t) + [4t;-4t-2]
a) x(0)= [4;-5]b) x(2)= [1;1]
The proportion of the population
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
The table list data - Average Salaries of Athletes in 1991 and 2001. Use the data points to find a linear function that fits the data and then use the function to predict the average salary in 2005 and 2010.
The Rule of 70 is a mathematical approximation that calculates how long it takes for a value to double. Examples are as varied as finding how long it takes the Gross Domestic Product to double
Equation of an Ellipse, Principal and Interest and Lotto Probabilities, Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
Probability Distribution Function. Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere between 0 and 100 pounds (fractional values are possible)
A glass manufacturer finds that one in every 1000 items produced is warped . What is the probability that in a random sample of 5000 glass items there will be
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Determine the kernel and range of each of the following linear transformations from R3 into R3. (a) L(x) = (x3, x2, x1)^T
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