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

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Which is the graph of this function 3 square root of x plus one if

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.