I. write the differential equation as a system of first-order differential equations expressed in matrix form. ii. for each system, find the equilibrium points. iii. find the solution to the homogeneous differential equation using the eigenvalues and eigenvectors of the system matrix.

How will the system respond to a temperature increase?

Is there a point between a 10 nc charge and a 20 nc charge at which the electric field is zero?

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.