The sum of products expansion for the function F(x, y, z) = (x + y)z’ is given as (A) x’y’z + xyz’ + x’yz’ (B) xyz + xyz’ + xy’z’ (C) xy’z’ + x’y’z’ + xyz’ (D) xyz’ + xy’z’ + x’yz’

The sum of products expansion for the function F(x, y, z) = (x + y)z’ is given as (A) x’y’z + xyz’ + x’yz’ (B) xyz + xyz’ + xy’z’ (C) xy’z’ + x’y’z’ + xyz’ (D) xyz’ + xy’z’ + x’yz’
by

1 Answer

Answer :

(D) xyz’ + xy’z’ + x’yz’

Explanation:

Use Boolean identities to expand the product and simplify.

F(x, y, z)=(x + y)z’

 =xz’+yz’ Distributive law

 =x1z’+1yz’ Identity law

 =x(y+y’)z’+(x+x’)yz’ Unit property

=xyz’+xy’z’+xyz’+x’yz’ Distributive law

 =xyz’+xy’z’+x’yz’ Idempotent law 
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Description : Let R and S be two fuzzy relations defined as: Then, the resulting relation, T, which relates elements of universe x to elements of universe z using max-min composition is given by

Last Answer : Answer: C

Consider f(N) = g(N) + h(N) Where function g is a measure of the cost of getting from the start node to the current node N and h is an estimate of additional cost of getting from the current node N to the goal node. Then f(N) = h(N) is used in which one of the following algorithms ? (A) A* algorithm (B) AO* algorithm (C) Greedy best first search algorithm (D) Iterative A* algorithm

Description : Consider f(N) = g(N) + h(N) Where function g is a measure of the cost of getting from the start node to the current node N and h is an estimate of additional cost of getting from the current ... ? (A) A* algorithm (B) AO* algorithm (C) Greedy best first search algorithm (D) Iterative A* algorithm

Last Answer : (C) Greedy best first search algorithm

A Boolean function F defined on the three input variables x, y and z is 1 if and only if number of 1(one) input is even. -Technology

Description : A Boolean function F defined on the three input variables x, y and z is 1 if and only if number of 1(one) input is even. -Technology

Last Answer : This answer was deleted by our moderators...

If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0<x<1, 0<y<3 and 0<z<2 will be a) 13 b) 26 c) 39 d) 51

Description : If a function is described by F = (3x + z, y 2 − sin x 2 z, xz + ye x5 ), then the divergence theorem value in the region 0

Last Answer : c) 39

Some of the situations where inline expansion may not work are: A) For functions returning values, if a loop, a switch or goto exists. B) If functions contain static variables and they are re-cursive. C) For functions not returning values, if return statement exist. D) All of the above.

Description : Some of the situations where inline expansion may not work are: A) For functions returning values, if a loop, a switch or goto exists. B) If functions contain static variables and they are re-cursive. C) For functions not returning values, if return statement exist. D) All of the above.

Last Answer : D) All of the above.

The translator which performs macro calls expansion is called : (A) Macro processor (B) Micro pre-processor (C) Macro pre-processor (D) Dynamic linker

Description : The translator which performs macro calls expansion is called : (A) Macro processor (B) Micro pre-processor (C) Macro pre-processor (D) Dynamic linker

Last Answer : (C) Macro pre-processor 

If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Description : If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Last Answer : (x+y)2 = x2 - 2xy + y2 = x2 + 2xy + y2 - 4xy = (x+y)2 - 4xy = 52 - 4 × 4 = 25 - 16 = 9 ∴ x - y = √9 = 3

Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Description : Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Last Answer : No, (xy) is necessarily an irrational only when x ≠0. Let x be a non-zero rational and y be an irrational. Then, we have to show that xy be an irrational. If possible, let xy be a rational number. Since ... wrong. Hence, xy is an irrational number. But, when x = 0, then xy = 0, a rational number.

X and Y are points on the side LN of the triangle LMN such that LX = XY = YN. -Maths 9th

Description : X and Y are points on the side LN of the triangle LMN such that LX = XY = YN. -Maths 9th

Last Answer : Given X and Y are points on the side LN such that LX = XY = YN and XZ || LM To prove ar (ΔLZY) = ar (MZYX) Proof Since, ΔXMZ and ΔXLZ are on the same base XZ and between the same parallel lines LM and XZ. ... get ar (ΔXMZ) + ar (ΔXXZ) = ar (ΔXLZ) + ar (ΔXYZ) => ar (MZYX) = ar (ΔLZY) Hence proved.

If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Description : If x + y = 5 and xy = 4 , find x - y , using identities. -Maths 9th

Last Answer : (x+y)2 = x2 - 2xy + y2 = x2 + 2xy + y2 - 4xy = (x+y)2 - 4xy = 52 - 4 × 4 = 25 - 16 = 9 ∴ x - y = √9 = 3