Given the ?(?) = 30? .001? and ?(?) = 80? −.001? find: d) The
equilibrium point....
Given the ?(?) = 30? .001? and ?(?) = 80? −.001? find: d) The
equilibrium point. e) Determine the consumer’s surplus. Show the
integral used. f) Determine the producer’s surplus. Show the
integral used.
(a) Find the equilibrium solution, or critical point, of the
given system.
(b) Use a computer to draw a direction field and phase portrait
centered at the critical point.
(c) Describe how solutions of the system behave in the vicinity
of the critical point.
x′ =−0.25x−0.75y+8, y′ =0.5x+y−11.5
(d) Let x= xc+u and y= yc+v, where
xc and yc give the critical point you found
in (a). Plug these into the system and show that you obtain a
homogeneous system...
Find a point on a given line such that if it is joined to two
given points on opposite sides of the line, then the angle formed
by the connecting segment is bisected by the given line.
Interpret the following results:
1. Dr. Horton conducted a study and reported: p = .001,
d = .40. Dr. Theimer conducted a similar study and
reported: p =.04, d = .40. Who had the larger
effect and what is the most likely reason they had different
p-values?
2. Dr. Lane reported that following a study on the effects of a
new drug on obsessive compulsive disorder (OCD), that the F for the
drug was p = .03. Dr. Lane concluded...
A) Find the directional derivative of the function at the given
point in the direction of vector v. f(x, y) = 5 + 6x√y, (5, 4), v =
<8, -6>
Duf(5, 4) =
B) Find the directional derivative,
Duf, of the function at the given
point in the direction of vector v.
f(x, y)
=ln(x2+y2), (4, 5),
v = <-5, 4>
Duf(4, 5) =
C) Find the maximum rate of change of f at the given
point and the direction...
What is meant by chemical equilibrium? Given the
following reaction: A + B <--> C +D (reversible
reaction), how would you drive the following reaction away
from equilibrium to produce more of substances A and
B?
a. Find the nth-order Taylor polynomials of the given function
centered at the given point a, for n = 0, 1, and 2.
b. Graph the Taylor polynomials and the function.
f(x) = cos x, a = 2pi / 3