For each of the systems in problems 1 through 10: a. find the eigenvalues and eigenvectors. b. classify the critical point (0, 0) as to type, and determine whether it is stable, asymptotically stable, or unstable. c. sketch, by hand (without using any graphing device), several trajectories in the phase plane.4. 1 −4 4 −7

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation: