Exercise 6.3.4: find the solution to mx00 + cx0 + kx = f (t); x(0) = 0; x0(0) = 0; for an arbitrary function f (t), where m > 0, c > 0, k > 0, and < 0 (system is underdamped). write the solution as a definite integral.

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

What is the value of x in the following equation? -3x-2=2x+8

What are the solutions of the system? y = x^2 + 2x +3y = 4x - 2a. (-1, -6) and (-3, -14)b. (-1, 10) and (3, -6)c. no solutiond. (-1, -6) and (3, 10)