Construction and the Built Environment - Engineering Assignment Help

Assignment Task:

Task:

Unit Learning Outcomes
LO1 Apply instances of number theory in practical construction situations.
Assignment Brief and Guidance
Task 1
a. Convert each number into denary,
• 11001.01
• 4D
b) calculate the following in both binary and denary
• 1101+1001

Task 2
Apply de’Moivre’s theorem or otherwise to solve for Zo and C from these expressions given below :
Z0=Z/Y and C=Z*Y
Where:
• Z is a complex number.
• Y is also a complex number.
• Re (Z0) >0 and Re (C) >0
Find Z0 and C when: Z j Y j ? ? ? ? 1 5 , 1 3

Task 3
a. Simplify the following equation:
2 0.5 0.75 1 2 0.5 j j j G e e e ?
? ? ? ? ? ?

b. Express the following expression in complex exponential form: v=20sin (1000t-30°)
Task 4
Find a formula for cos (3θ) in terms of cos (θ) and sin (θ) using de Moivre’s Theorem. L02 Solve systems of linear equations relevant to construction applications using matrix methods

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