Determine the bifurcation value(s) for the one-parameter family of des (with parameter a). show work. dy/dt = y^2 + ay + 4 bifurcation value(s): draw a representative phase line for des in each category listed below. for each, include labeled equilibrium points (if any), arrows on the phase line, and identify each equilibrium as stable, unstable, or semi-stable. l. a = 0 (if this is different from the largest bifurcation value) 2. a equal to the largest bifurcation value (if there is more than one) 3. a one unit larger than the largest bifurcation value sketch a bifurcation diagram representing the phase portraits of this family of des as the value of the parameter a is varied. you many need to consider more representative phase lines than those above.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

d. all of the above

step-by-step explanation:

from the sentence, "tomorrow morning, akiko will arrive an hour late" depicts a third person perspective because it doesn't use any pronoun to replace akiko, the subject of the sentence, and it is in singular form since akiko is only one person.