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ƒfƒBƒYƒj[ —‚ÌŽq ƒfƒBƒYƒj[ Œã‚ëŽp

ƒfƒBƒYƒj[ —‚ÌŽq ƒfƒBƒYƒj[ Œã‚ëŽp-одержание Iояснительная записка <A,b forwhich f(c) (b a) = ∫ b a f(x)dx This theorem essentially says that if you take the area under f(x) over the interval a,b and 'flatten it out', you get a rectangle whose height is given by the value ofthe function atsome point c in the interval Proof Because f(x) is continuous on a,b, the extreme value theorem tells us it must

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Title Microsoft Word por_obrdoc Author abaur Created Date 11/5/19 PMWe have f(b i,b j) = (MtAM) i,j Hence fC = M tAM = M fBM For example, let f be the linear form from the previous example It is given by 2 3 1 0 4 in the standard basis We want to write this matrix in the basis 1 1 , 1 0 The transition matrix is M = 1 1 1 0 it's transpose is the same The matrix of f in the new basis isJ _ i g g l h g <

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0 1 ' 2 3 4 0 2 5 ' * 6 0 7 2 ( ' 8 2 , ' &Title Microsoft Word RTF Author Dancer Created Date 139 PMLinks with this icon indicate that you are leaving the CDC website The Centers for Disease Control and Prevention (CDC) cannot attest to the accuracy of a nonfederal website Linking to a nonfederal website does not constitute an endorsement by CDC or any of its employees of the sponsors or the information and products presented on the website

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