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Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
Calculate the percentage of students who score less than 700
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
Calculate the z or t value of the sample test statistic
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Give an example of a nonlinear system of two equations in two unknowns having: Based on your work, how would you devise a method for finding such a system having exactly n solutions?
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
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