EE111_HW7Math

EE111_HW7Math - x 5 is not 30 x 5 = 150 What is the correct...

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EE 111 Name ____________________________ © Jerome Breitenbach Section ______ Assignment 7 The following problems in basic mathematics pertain to the material in Chapters 3, 6, and 7 of the booklet Mathematical Preparation for the EE Program . Provide solutions on a separate paper , clearly showing all steps. Do not use a calculator, but simplify answers as much as possible. 1. Which of the four basic arithmetic operations – i.e., addition, subtraction, multiplication, and division – are commutative? And, which are associative? 2. The value of 90/3
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Unformatted text preview: x 5 is not 30 x 5 = 150. What is the correct value? 3. Express the complex number 4 3 j z + − = in polar form, where 1 − = j . 4. Find the roots of the polynomial 5 4 3 2 + + x x . 5. Use the Lagrange interpolation formula to find a polynomial ( ) x f for which ( ) 2 1 = f , ( ) 7 2 = f , and ( ) 20 3 = f . 6. Let α and β be real values. Simplify the expression ( ) β α j e + − . In particular, your result should contain no occurrences of ‘ j .’ 7. Suppose 5 log 5 log 8 2 a = for some > a . What is the value of a ?...
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