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Let . Show that the map the residue of a+ b modulo 2, is a ring homomorphism with . Prove that . Hence, or otherwise, give a maximal ideal of .
Consider the ideal (2)+(x) of . Show that (2)+(x) . Hence explain why (x) is not a maximal ideal of .
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).
The process is shown for how to assign values to each element in the quadratic equation. Finally, the solution for the x values are produced. The steps and descriptions given in this solution can be used to solve thousands of other equations using..
What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression, and simplify the expression, if possible.
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions.
If 3 sets of identical twins are to be assigned to these 6 beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?
Hamlet has a credit card balance of $4172.26 with an annual percentage rate of 23.2%. His card requires a minimum payment of 2% of the balance. What is his minimum payment?
Find the minimum average cost using algebra, and showing work. Graph the average cost on a suitable scale from 0 to 500 units, showing the minimum value.
Finding the roots to non quadratic equations has always been a challenge. How are the roots, and where the graph crosses the x-axis, related to each other? Illustrate with example.
What is the average value of the coefficient of kinetic friction between puck and ice? How far does the puck travel during this 5 s interval? Answer in units of m.
tome uses the linear model of y 35000 0.45x to anticipate his salary from completing x amount of dollars worth of
nate left for a basketbaal trip and realized that he forgot his shoes. he calledhis mom and she agreed to get his shoes
An object is close to a light source - say at a distance of x meters. Another object B is at a distance of 2.3 times x meters from the same light source or in equation from distance to B from the light source = 2.3 (x meters).
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