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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.
an aquarium holding african cichlids is 6 inches higher than it is wide. its length is 27 inches and its volume is 7560
You will use the following situation to complete your task:A person is planning on saving money according to a rigid savings schedule. Saving plan A is to make an initial deposit of $400 and then deposit $20 per month into the account.
What is the simplified form of 5 square 32 - 4 square 18
Estimate the annual membership fee that maximizes profit. Mark this point on your graph. Explain why the graph of the revenue function has the shape it does.
Find the intervals of increase and decrease for f(x) = 6x3 + 54x2 - 228x - 7. Whaqt is an equation for the tangent line to the curve y = (3x2 + x - 1)9at the point where x = 0.
Sketch the parabola and find the vertex.
Solving equation by arithmetic operations.
A cube, painted green on the outside and measuring 15 centimeters on each edge, is cut into congruent cubes measuring 5 centimeters on each edge.
Find the 19th term in the sequence.
how do you write a system of linear equations in two variables? ??explain this in words and by using mathematical
The goal is to better understand how different linear systems are related to each other, or in other words, what bifurcations occur in parameterized families of linear systems.
How many memory devices of each type should be manufactured? What is the maximization formula? List all the constraints Create a diagram visually showing your constraints and the optimal solution.
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