Consider the equation ut + bux = au; u(x; 0) = u0(x): (a) write down the exact solution to this problem. (b) show that the method un+1 i = bt x (un i un ) + (1 + ta)un i is of rst order accuracy for this equation. (c) show that the method in part (b) is stable under a suitable condition, and give this stability condition

All the simple machines make work easier to do by changing the or of a force. a. size; type b. work; type c. size; direction d. type; direction

An object weigh 40n in air ,weigh 20n when submerged in water,and 30n when submerged in a liquid of unknown liquid density.what is the density of unknown of liquid?

Atriangle with equal sides of length 10 cm has -2.5-nc charged objects at each corner. part a determine the direction of the electrical force exerted on the object at the top corner due to the two objects at the horizontal base of the triangle. determine the direction of the electrical force exerted on the object at the top corner due to the two objects at the horizontal base of the triangle. horizontally rightward vertically downward vertically upward horizontally leftward