8. Find separate expressions for M and in symbolic form. θ M/θ = (A/α)(B/β)/(C/γ) M = = Θ Signatures: ________________________________________________________________________ 9. Find and Use your calculator (not Maple, Mathematica, or another math program). Note that and are X̅ Y̅ X̅ complex numbers; you must therefore solve a system of complex equations. Give your answer in rectangular form. Note: If your answer for X̅ or Y̅ is a real number, you've done something wrong. 123X̅ + j456Y̅ = 789/62° (44 j55)X̅ + 66Y̅ = 77 + j88 – Signatures: ________________________________________________________________________ BONUS (No partial credit): During its five-year mission, the Enterprise discovers the planet Tarfu, and Captain Kirk and Spock beam down to investigate. They find a destroyed village with the following mathematical equality written on a building: 754 + 348 = 1213 Captain Kirk have been very smart. Their math is Spock says, “These Tarfuians can't terrible.” replies, “No Captain, their math is correct, and now I know how many fingers Tarfuians many fingers do have.” How Tarfuians have? Signatures: ________________________________________________________________________
8. Find separate expressions for M and θ in symbolic form. M/θ = (A/α)(B/β)/(C/γ) M = Θ = Signatures: ________________________________________________________________________ 9. Find X̅ and Use your calculator (not Maple, Mathematica, or another math program). Note that X̅ and Y̅ are complex numbers; you must therefore solve a system of complex equations. Give your answer in rectangular form. Note: If your answer for X̅ or Y̅ is a real number, you've done something wrong. 123X̅ + j456Y̅ = 789/62° (44 – j55)X̅ + 66Y̅ = 77 + j88 Signatures: ________________________________________________________________________ BONUS (No partial credit): During its five-year mission, the Enterprise discovers the planet Tarfu, and Captain Kirk and Spock beam down to investigate. They find a destroyed village with the following mathematical equality written on a building: 754 + 348 = 1213 Captain Kirk says, “These Tarfuians can't have been very smart. Their math is terrible.” Spock replies, “No Captain, their math is correct, and now I know how many fingers Tarfuians have.” How many fingers do Tarfuians have? Signatures: ________________________________________________________________________
HW10.docx