Find the solution of the initial value problem ˙~x = f~ (~x) with ~x(0) = ~x0 for f~ (~x) = −µx1 −x2 + x 2 1 , ~x = x1 x2 , ~x0 = a b for arbitrarily chosen (a, b, µ) ∈ r 3 . is the solution ~u(t; a, b, µ) a continuous function of all variables (t, a, b, µ) ∈ r 4 ? give an interval t ∈ [−a, a] and an open neighbourhood (a, b, µ) ∈ u ⊂ r 3 such that ~u ∈ c([−a, a] × u, r 3 ).

Plz need answer now will mark which situations represent linear functions? check all that apply. a)the temperature rises and falls over the course of a day. temperature is a function of time. b)a baseball is hit into the outfield. the height of the ball is a function of time. c)a car goes 55 mph on the highway. distance is a function of time. d)a child grew 2 inches this year and 1 inch last year. height is a function of time. e)a movie director makes 2 movies per year. the number of movies is a function of the years.

Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !

If the tip varies directly with the number of guest which equation represents between the tip,t, and the number of guest,g?