Find y as a function of x:
y'''-12y''+27y'=80e^x
y(0)=29
y'(0)=11
y''(0)=21
I found the roots to be r=0,3,9 and c1=224/9 c2=13/3 c3=-2/9
not sure what is wrong with the answer I'm entering.
Consider the function f(x, y) = 4xy − 2x 4 − y
2 .
(a) Find the critical points of f.
(b) Use the second partials test to classify the critical
points.
(c) Show that f does not have a global minimum.
Solve the following linear programming problem.
Maximize: z=10x +12y
subject to: 7x+4y<=28
10x+y<=28
x>=0
y>=0
1. The Maximun value is ____at the point____.
4. The joint density function of (X, Y ) is
f(x,y)=2(x+y), 0≤y≤x≤1
. Find the correlation coefficient ρX,Y
.
5. The height of female students in KU follows a normal
distribution with mean 165.3 cm and s.d. 7.3cm. The height of male
students in KU follows a normal distribution with mean 175.2 cm and
s.d. 9.2cm. What is the probability that a random female student is
taller than a male student in KU?
x2 y" + (x2+x) y’
+(2x-1) y = 0,
Find the general solution of y1 with
r1 and calculate the coefficient up to
c4 and also find the general expression of the
recursion formula, (recursion formula for
y1)
Find the general solution of y2 based on
theorem 4.3.1. (Hint, set d2 = 0)
Find a function y = y(x) that has a y-intercept at (0, 4), a
horizontal tangent line at the y-intercept, and satisfies the
differential equation y''-10y'+25y=0.