A. (5 pts) find the determinant of a by row reduction to ref and then using the determinant properties (no expansion is required). what properties did you use? you must ensure that the properties you use does not change the value of the determinant. show your work. b. (2 pts) what is the determinant of (2�: ) ? c. (2 pts) what is the determinant of 2�; $ ? d. (2 pts) what is the determinant of 2� ; $ ?

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?