WebThe prime ideals of k [ x, y] are 0, the maximal ones, and ( P) where P is any irreducible polynomial. This is because k [ x, y] has dimension two, and is a UFD. For higher-dimensional rings things are more complicated, and there is no explicit answer. However, many things can be said, for example about the minimal number of generators for ... WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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WebProof that. x. k. <. k. x. So, I want to prove that x k is less than k x for any x > k. x and k are both integers. My first approach was an induction over k, given that the numbers are integers. I also considered the facts that given a certain k, x k grows slower than k x from a certain number (the limit of the division of both functions proves ... WebDownload your YouTube videos as MP3 (audio) or MP4 (video) files with the fastest and most powerful YouTube Converter. No app or software needed. WebNov 29, 2024 · Answer: (a) k'(0) = f'(0)g(0) + f(0)g'(0) (b) m'(5) = Step-by-step explanation: (a) Since k(x) is a function of two functions f(x) and g(x) [ k(x)=f(x)g(x) ], so for differentiating k(x) we need to use product rule,i.e., this will give k'(x)=f'(x)g(x) + f(x)g'(x). on substituting the value x=0, we will get the value of k'(0) snapshot processing failed status 4201