Writing the equation d² dt2 n the form of the system dx x = V, =) 3) e) X= dt x³ + x², v = x³ + x² x = x(t), x = x(t), v = v(t), (1 (2 1) Find all the stationary points (x, v) (the points where d = 0, d = 0) 5) Find the corresponding linear system near each critical point. Find the corresponding linear system near each critical point. Draw a phase portrait of the system near each critical point. Draw a phase portrait taking into account the energy conservation, v² +W(x) = const for each solution (x(t), v(t)) to system (2), here the potential energy is given by the antiderivative of -x³ – x¹, x4 x5

21. Given the function f(x) write the equation g(x) after the following transformations: horizontal compression by the factor vertical stretch by the factor 7 reflection in the y-axis translation 10 units left and 1 unit down Equation:

7 20 21

C 20 25

12 please