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Let . Prove that the map given by , where is the residue of a modulo n, is a ring homomorphism. Find the kernel and image of .
Prove that if is a ring homomorphism, then given by is also a ring homomorphism.
Write down two distinct maximal ideals of . Does have a finite or infinite number of maximal ideals? Give brief reasons for your answer.
Determine if the equation y2= x2 defines y as a function of x. Justify your answer. Sketch by hand a graph of a function f that is decreasing on [-4,2], constant on [-2,1], and increasing on [1,2]
Note this show that the pth powers of the elements of are distinct, and therefore every element in is the pth power of a unique element in . Therefore every element in has a unique pth root; that is, for any in there is a unique in such that . Thi..
For each question, be sure to show all your work details for full credit.Round all value answers to three decimal places. Showthe graph. Show the calculation details. Provide research values and apply critical thinking to answer this question. Show t..
How much is 37+13
make a general form of an equation for the perpendicular bisector of segment AB..
which of the following expressions requires the quotient of powers formula to be simplied?h4 divide 2 n4 bull n3 t8w12
Simplify the formula for the given variable.
Post an example of a poorly made graph. Provide the source of your graph. Provide a brief discussion of what makes the graph a poor one. A couple of sentences.
Find the LCM of the denominators
1. Discussion Question: Discuss the difference in appearance of a graph of an equation and a graph of an inequality. Include the dashed vs. the solid line in the graph of an inequality.
Graph the basic function using a solid line and the transformed function using a dotted line.
Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.
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