12 Let the function u t be defined by u t at b ct d...
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Calculus

12 Let the function u t be defined by u t at b ct d with arbitrary real valued constant coefficients a b c d a Determine the domain for generic values of a b c d Are there any special value of these coefficients for which the domain is larger b Determine a condition on the coefficients such that u is injective and find th inverse function u function in that case Hence conclude what is the range of the function u for generic coefficients a b c d

12 Let the function u t be defined by u t at b ct d with arbitrary real valued constant coefficients a b c d a Determine the domain for generic values of a b c d Are there any special value of these coefficients for which the domain is larger b Determine a condition on the coefficients such that u is injective and find th inverse function u function in that case Hence conclude what is the range of the function u for generic coefficients a b c d
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