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Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N (i.e.: free objects do not always exist in the category of nilpotent groups).
I have found the number of deaths in the United States due to each medical condition in each of the following years.
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
MTH-163 Precalculus I: Expand or contract the expression using the properties of logarithms. Find the exact value without using a calculator. If this is not possible, state why not.
Solve the system of equation by matrix method - Use augmented matrices to solve the following 2 x 2 systems of equations.
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
Records at a high school indicate that each year for the past five years, 120 of the 1,500 students were absent on the first day of hunting season
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
How do you interpret the solution of a system of equations by the corresponding graph? Please provide example. What is the situation when two linear inequalities have no solution?
Find the domain and range of the function: f(x)=6xsquared+4. Find the distance between the two plotted points;(-5,2) (4,-4). Using graph of f(x)=x squared as a guide, graph the function; g(x)=(x-3)squared+4
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
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