Question

9. Find a sum-of-products expression for F’ for the function F(W, X, Y, Z) = X + YZ(W + X’)

Answer #1

a) Represent the following logic function F(w, x, y, z) on a 4
variable K-map F(w, x, y, z) = Σm(6, 7, 9, 10, 13) + dc(4, 5, 11,
15)
b)Write down the list of the function’s prime implicants (PI)
and the essential prime implicant(s) (EPI), if any
c)Find a minimum expression in a sum-of-products form of the
logic function F(w, x, y, z).

Convert the following expression to SOP form
F= (W+X) Y*Z) (W+YXX*Y*Z)

consider the function: F(x,y,z)=(0,2,4,6,8,9,10,11). find the
complement of F in sum of product and minimize it using K-maps.

Find the value of the directional
derivative of the function w = f ( x , y , z ) = 2 x y + 3 y z
- 4 x z
in the direction of the vector v =
< 1 , -1 , 1 > at the point P ( 1 , 1 , 1 ) .

Find the truth table (function table), SOM, POM, and
simplify the expression using K Map approach of the following Sigma
notation expression: (10 points) f(w,x d y,z)= sum
m(0,3,9,10,14,15)

Find the directional derivative of the function f(x, y, z) = 4xy
+ xy3z − x z at the point P = (2, 0, −1) in the direction of the
vector v = 〈2, 9, −6〉.

Let s = f(x; y; z) and x = x(u; v; w); y = y(u; v; w); z = z(u;
v; w). To calculate ∂s ∂u (u = 1, v = 2, w = 3), which of the
following pieces of information do you not need?
I. f(1, 2, 3) = 5
II. f(7, 8, 9) = 6
III. x(1, 2, 3) = 7
IV. y(1, 2, 3) = 8
V. z(1, 2, 3) = 9
VI. fx(1, 2, 3)...

Consider the function w = x^(2) + y^(2) + z^(2) with x =
tsin(s), y = tcos(s), and z = st^(2)
(a) Find ∂w/∂s and ∂w/∂t by using the appropriate Chain
Rule.
(b) Find ∂w/∂s and ∂w/∂t by first substituting and writing w as
a function of s and t
before differentiating.

Find a function f(x,y,z) such that ∇f is the constant vector
〈8,3,5〉.

For f(x,y)=ln(x^2−y+3). -> Find the domain
and the range of the function z=f(x,y).
-> Sketch the domain, then
separately sketch three distinct level curves.
-> Find the linearization of
f(x,y) at the point
(x,y)=(4,18).
-> Use this linearization to determine the
approximate value of the function at the point (3.7,17.7).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 41 minutes ago

asked 51 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago