Given p → q is true, what must also be true to determine q is true using the Law of Detachment?p: I create a schedule.q: I will manage my time more efficiently.  I create a schedule.  I will not create a schedule.  I will manage my time more efficiently.  I will not manage my time more efficiently.

Q: Write the converse of the following statement: If it rains today, then I will stay at home.

A: Suppose the statement is "If a then b" then converse of this statement is "If b then a".

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: E (ax, + by, + c) =

A: Let (x1, x2, x3, ..., xn) and (y1, y2, y3,..., yn) be finite sequence of numbers of the same length,…

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: Show that -p → (q →r) and q → (p V r) are logically equivalent. Show your work and justify each one…

A:

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: 1) V16 2) VT - Vī 3) V27 V27 4) 5) V16 Vī 6) V81 7) -V16 – V-8

A:

Q: 3 Let vi = V2 = and b = For what values of h, if any, is b a linear combination of Vị and v2?

A:

Q: Find JA|, |B|, AB, and |AB|. 1 4 2 -3 0 A = -2 -4 1 B = 1 -1 3 3 1 2 11 (a) JA| (b) |B| (с) АВ (d)…

A: Find the determinant

Q: For each statement, decide if it is true or false. True or False Statement A. (1,2,3.4.5)s(14) B.…

A: A. Since the empty set is a subset of every set. Thus, ∅⊆q,y,z is true.

Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

A:

Q: CHECK YOUR PROGRESS 4 Which of the following are a. x€ {x, y, z} b. xs {{x}, {y}. (z}} c. xc(x, y,…

A: The statements that are true are as follows:

Q: Which of the following choices is not a reason that a truck is more expensive to maintain than a…

A: The objective of the question is to identify which of the given options is not a reason for a truck…

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

A:

Q: Q1: Simplify using laws p↔q v r   Q2: Simplify using laws ~p v q →p ∧ q

A: (1) Now p↔q≡p→q∧q→p By using implication law, p→q≡¬p∨qq→p≡¬q∨p So,…

Q: Solve the problem. Leta₁- a₂ a3- and b- Determine whether b can be written as a linear combination…

A:

Q: Suppose you observe the following occurrence. Answer which of the four properties -A, ~B, ~C, -D are…

A: Given the following occurrences as                                       A    B    C    D…

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: 8. Bob owns 14 different books. He wants to pick-out-and-arrange 4 of these books left-to-right on…

A:

Q: A bag contains three red balls, two yellow balls, and two green balls. Suppose that we pick three…

A: let the number of red balls be denoted by R and number of yellow balls be denoted by Y. PR=0,Y=0=0…

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: Given P(A) = 0.5, P(B)=0.5, P(C) = 0.3. A and B are independent, A and C are disjoint. What is the…

A: P(A)=0.5, P(B)=0.5, P(C)=0.3

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

A:

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

A:

Q: Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert…

A: Since you have posted question with multiple subparts,we will solve first three subparts for you.To…

Q: Is the following a linear combination of A = [-29]. RJ 11 O Yes O No B = = [ ²₁ - ²2 ] · c = [₁ 2] ²…

A: We want to find the given matrix is in linear combination of other or not.

Q: Evaluate [fxcos (y)d4 , R=[-2,3]×| 0,- 2 R

A: Introduction: When the integrand the a function of two variables, we follow the double integral.…

Q: Can I a-convert the expression (Ax.Ay.x y) y to (Ax.Ay.x y) z? Explain briefly why or why not.

A: To determine and explain: Whether the expression λx.λy.x y y can be α-converted to λx.λy.x y z.

Q: C. In the picture, prove that a(a+b)=c(c+d). a

A: Given : To prove : aa+b=cc+d

Q: -1 3 4 2 2 and s = 29 17 Let u = 0 6 3 1 3 4 18 60 s can be written as a linear combination of u,v…

A: