Problem 3 An electric system is rated 15 kVA, 240 V at a 0.5 leading power factor: a) Determine the impedance of the system in rectangular form. b) Find the total resistance and the total reactance (inductive or capacitive) within the electric system. (Assume that all elements are in series.) c) Find the average power delivered to the system.

Can anybody me with this? ? (picture included.)

Find the dimensions and area of the largest rectangle that can be inscribed in the upper half of the ellipse. (give your answers in terms of a and b. enter the dimensions as a comma-separated list.)

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)