2. Calculate the first derivative of the vector loop in the figure below, separate the Real...

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2. Calculate the first derivative of the vector loop in the figure below, separate the Real and Imaginary components and simplify it as much as possible. Consider only angles 02, 03, 04 and vectors V and V5 to be time dependent. You must show all of your work to get full credit. Imaginary axis Ve82 V 0 V5 V3e03 Vei Real axis 3. Calculate the second derivative of the vector loop equation in problem 2, but do not separate the Real and Imaginary components. Simplify it as much as possible. Consider only angles 02, 03, and vectors V and V5 to be time dependent. You do not need to show your derivation work for every term. It is enough for you to show your derivation work for either vectors V, V3 or V4. 2. Calculate the first derivative of the vector loop in the figure below, separate the Real and Imaginary components and simplify it as much as possible. Consider only angles 02, 03, 04 and vectors V and V5 to be time dependent. You must show all of your work to get full credit. Imaginary axis Ve82 V 0 V5 V3e03 Vei Real axis 3. Calculate the second derivative of the vector loop equation in problem 2, but do not separate the Real and Imaginary components. Simplify it as much as possible. Consider only angles 02, 03, and vectors V and V5 to be time dependent. You do not need to show your derivation work for every term. It is enough for you to show your derivation work for either vectors V, V3 or V4.