a) Write down the general solution of the system Az. %3D b) Say whether or not we have lim 7(t) = 0 for the general solution 7(t) you found in (a) (meaning: for all possible initial conditions), and explain briefly. c) Consider the statement “As t grows without bound, the solution (t) will be mostly along the span of the vector d." Say what ở is, and explain briefly. d) Find the unique solution with initial condition (0) =

Q: 3. Determine the equation of the quintic (5th degree) with single roots at -2, 3, and r, and a…

A: Let us find the quintic polynomial.

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

A:

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: 7. Let a, b, c and m be fixed real numbers. Let P be the parabola with equation y = x². (a) Show…

A: Answer

Q: 7. A parabola whose equation is y =r² - 2x + k has a turning point with coordinates (1,-5). Find the…

A: We have to find k

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: A bird takes exactly two minutes to fly linearly from P(3,8,4) to Q(7,4,-3). Assuming that the bird…

A:

Q: My question is, A family of quartic functions have zeros of 3 (degree 2), 5/4 and -3/2. a) Write the…

A: (A) It is given that the quadratic equation has zeros  of 3 (degree 2), 54,-32. That is, the…

Q: Cartesian

A:

Q: (0,7) (12,14) (20,0), create a parabolic model H(x) in the standard form H(x)=ax+bx+c for the path…

A:

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

A:

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)