Homework Statement
Work out the correct coefficient arrays for these equations:
y(n)=y(n-1)+\frac{1}{5}(x(n)-x(n-5))
y(n) = 0.82y(n -1) + .28x(n)
Homework Equations
\sum a(r)y(n+1-r)=\sum b(k)y(n+1-k) where a(1) = 1
The Attempt at a Solution
Ok for the second equation...
Ahh so the first is
=x'+y'
and with the second if I change it to:
p(p+qr)
won't I end up with
=p+pqr in the end anyway?
Also how do you know what rule you're supose to use? Is there a specific order or is it just whatever you notice first?
Homework Statement
Simplify the following expressions
(x'y'+xy'+x'y)
(p+q'p)(p+qr)
Homework Equations
Laws of boolean algebra
The Attempt at a Solution
For the first one I've found many ways to solve it... something isn't right here
(x'y'+xy'+x'y)
=x'(y'+y)+xy'
=x'+xy'...
Homework Statement
1.
Simplify the following problem using boolean algebra:
(p+q'r')(p'q'+r)
2.
Use algebra or karnaugh maps to simplify the following circuit:
(z+xy')+yx+xzy'Homework Equations
Boolean algebra rules and demorgan's lawThe Attempt at a Solution
1. (p+q'r')(p'q'+r)...
Homework Statement
Find the solution to the initial value problem
dy/dx - y = e^3x
y(0) = 3
Homework Equations
e^∫p(x)
The Attempt at a Solution
Do I treat p(x) = -1?
I(x) = e^∫-1 = e^-x
e^-x(dy/dx) - ye^-x = e^3x . e^-x
e^-x(dy/dx) - e^-x . y = e^2x
e^-x . y = ∫e^2x
y = (2e^2x...
The velocity is the direction it moves, force is the direction the field moves a particle and field is the dirction of the dots on the page, in this case out of the page.
Left hand rule:
Index finger is velocity, palm is force and thumb is field direction.
First right hand:
Thumb is current and curled fingers is field direction
Second right hand:
Thumb is velocity, fingers are field and palm is force.