WebExpert Answer. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 3x4, y = 0, x = 2 V = Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 3 + 2x − x2 x +y = 3 V =. Webbounded i ( T)) is closed. Proof. It is easy to see that Tbounded implies ( T) closed. Conversely, we rst show that Z= ( T) ˆX Y is a Banach space, in the norm k(x;Tx)k Z= kxk X+ kTxk Y It is easy to check that this is a norm. (x n;Tx n) is Cauchy i x nis Cauchy and Tx n is Cauchy. Since X;Y are already Banach spaces, then x n!x for some xand ...
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WebCalculus. Calculus questions and answers. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line y = 5. y = √1 - x X = 0 y = 0 X Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. 6 y = y = 0 X = 1 X = 3 24x xo X ... WebBounded set. An artist's impression of a bounded set (top) and of an unbounded set (bottom). The set at the bottom continues forever towards the right. In mathematical analysis and related areas of mathematics, a set is called bounded if it is, in a certain sense, of finite measure. Conversely, a set which is not bounded is called unbounded. bizly cable bangladesh
calculus - Bounded vs. unbounded, closed vs. open sets
WebSolved by verified expert. 1. the area of the region bounded between the two functions is 720, which is option (C). 2. the area of the region bounded by the x-axis and the given curves is approximately 1,224.08. Therefore, the answer is option A. 3. A = 3/2. 4. the answer is C. 16/3. Webbounded rationality meaning: the theory that people can understand only a limited amount of information within a limited amount…. Learn more. WebApr 26, 2024 · Note. Since X∗ is the (normed) linear space of all bounded linear functionals on X, then X∗ is a subset of X], the linear space of all linear functionals on X. In Exercise 14.3 it is shown that if Xis a finite dimensional normed linear space that every linear functional on Xis continuous and hence (by Theorem 13.1) bounded. bizly cloud