Question 1.

Write a matrix equation that determines the loop currents. For each matrix, let row 1 correspond to loop 1, row 2 correspond to loop 2, and so on. Also, enter positive values for positive voltages and negative values for negative voltages. 17 V 330 12 28 V 310 13 16 V 3202 M 2 02 22 V 53 02 3402 14 VWrite a matrix equation that determines the loop currents. For each matrix, let row 1 correspond to loop 1, row 2 correspond to loop 2, and so on. Also, enter positive values for positive voltages and negative values for 41 V negative voltages. 123 -14 V M M 12 = 13 27 V - 320 17 V50 v 44 v Write a matrix equation that determines the loop currents shown to the right. 14 40 3 50 49 30 40 30 30 3 12 13 340 32 v 23v Complete the matrix equation. 50 12 - 32 13 E 23 - 44 14 0In a certain region, about 8% of a city's population moves to the surrounding suburbs each year, and about 2% of the suburban population moves into the city, In 2020, there were 10,050,000 residents in the city and 800,000 residents in the suburbs. Set up a difference equation that describes this situation, where X is the initial population in 2020. Then estimate the populations in the city and in the suburbs two years later, in 2022. (Ignore other factors that might influence the population sizes.) Set up a difference equation that describes this situation, where xo is the initial population in 2020. X1 = Mxo = (Type an integer or decimal for each matrix element. Do not perform the calculation.)Study how changes in boundary temperatures on a steel plate affect the temperatures at interior points on the plate. Complete parts (a) through (c) below. Plate A Plate B 10 10 Plate C 0o 10 10 10 0 0 190 12 160 190 13 20 190 3 16 190 3 160 100 10 190 190 290 a. Begin by estimating the temperature T1, T2, T3, T4 at the sets of four points on the steel plates A and B shown in the figure. In each case, the value of T is 290 approximated by the average of the temperatures at the four closest points. The answer should be in the form (T, , T2, T3, T4). Plate A interior temperatures =(].> (Type integers or decimals. Do not include the degree symbol in your answers.)