Algebra Archive: Questions from February 17, 2023
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10. Solve for \( Z_{L} \) : \[ \Gamma=\frac{Z_{L}-Z_{o}}{Z_{L}+Z_{o}} \] a. \( Z_{L}=\frac{Z_{o}(1+\Gamma)}{1-\Gamma} \) b. \( Z_{L}=\Gamma\left(Z_{L}+Z_{O}\right) \) c. \( Z_{L}=\Gamma Z_{L}+\Gamma Z2 answers -
Exercise 6 (15 marks) Prove that \[ \max (x, y)=\frac{x+y+|x-y|}{2} \text { and } \min (x, y)=\frac{x+y-|x-y|}{2} . \] Deduce from this that \( |x-y|=\max (x, y)-\min (x, y) \).2 answers -
Exercise 6 (15 marks) Prove that \[ \max (x, y)=\frac{x+y+|x-y|}{2} \text { and } \min (x, y)=\frac{x+y-|x-y|}{2} . \] Deduce from this that \( |x-y|=\max (x, y)-\min (x, y) \).2 answers -
problem 44&50 plz
\( g(x)=-\cos (x-\pi) \quad g(x)=-3 \sin x \) Sketching the Graph of a Sine or Cosine Function In Exercises 31-52, sketch the graph of the function. (Include two full periods.) 31. \( y=5 \sin x \) 322 answers -
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