Create a proof for the following argument. 2. (KVFM 3. K 4. /H 1 Delete VD A BC DE FGHIJKLMNOPQR ST U V W XY Z 1 item attempt remaining Create a proof for the following argument. 2. (KVFM 3. K 4...
Show that the following is a valid argument. 1. y V t 2. (w V u) ^(w V x) 3. (q V r) rightarrow w 4. s V p 5. (y ^r) rightarrow x 6. (p ^q) rightarrow (t V r)
solved item S, T, U, V, W, X, Y, Z The demand for subassembly S is 100 units in week 7. Each unit of S requires 2 units of T and 1 unit of U. Each unit of T requires 1 unit of V, 2 units of W, and 1 unit of X. Finally, each unit of U requires 1 unit of Y and 2 units of Z. One firm manufactures all items. It takes 2 weeks to make S,...
Problem #5: (a) Let u =(2, -4,-8, -10) and v=(-1, -3, 8, -10). Find ||u – proj,u||. Note: You can partially check your work by first calculating projyu, and then verifying that the vectors projyu and u-proj,u are orthogonal. (b) Consider the following vectors u, v, w, and z (which you can copy and paste directly into Matlab). v = (-8.1 4.2 6.3], w = [-9 -3.7 5.5], u z = = [-8.6 -3.4 -7.1], [-3.2 2 -4.9] Find the...
3. Prove valid by a deductive proof: 1. S (TR) 2. R R 3. (V S)-(W T)/ .. V D~W 4. Prove valid by a deductive proof: 1. (B. L)VT 2. (BVC) (~LO M) 3.~M /.. T 5. Prove valid by a deductive proof: 1. E.(FVG) 2. (E.G)(HVI) 3. (~HV I)(E . F) /.. H= I
1. Please provide a natural deduction proof for the following valid, deductive argument: Premise 1: ~ ( F & A ) Premise 2: ~ ( L v ~ A ) Premise 3: D > ( F v L ) / ~ D 2. Answer the following question: can one prove invalidity with the natural deduction proof method? Why or why not? 3. Answer the following question: can one construct a natural deduction proof for an invalid argument in SL? Why...
Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent and a non- zero vector z in R4 so that {u, v, z} is linearly dependent: 1-3 8 -8 -2 u = V= 5 -4 10 0 w=0 1- z=0 0
about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx <2, for 2 4 3(1-2*) for z > 4. 0 ) (ii) lim U(6) Evaluate () (U(2)+1), (l (iv) U'(4),(v) lim U() [Show succinctly your calculation or argument.] P.2 of 6 about the line y -1. 2. (10%) Given the graph of y = U(x) as shown, and it is known that for 0 sx 4....
Consider the subspaces U=span{[4 −2 −2],[10 1− 4]} and W=span{[3 −4 −1],[10 2 −2]}.Find a matrix X∈V such that U∩W=span{W}.
1 Problem 4. Let V be a vector space and let U and W be two subspaces of V. Let (1) Prove that ifU W andWgU then UUW is not a subspace of V (2) Give an example of V, U and W such that U W andWgU. Explicitly verify the implication of the statement in part1). (3) Proue that UUW is a subspace of V if and only if U-W or W- (4) Give an example that proues the...
u=2i-j+k v = 37 - 4k w = -51 +7 QUESTION 1)Find the volume of the parallel face determined by the vectors QUESTION 2) f(x, y, z) = xy + y2 + zx a) Find the gradient vector of function f b) Calculate the gradient vector at point P (1, -1, 2) of function f. c) Direction in the direction of the vector v = 3i + 6j - 2k at point P (1,-1,2) of the function f find the...