(P→Q) ^ (P → R) = (~P V Q) ^ (~P V R) =((~P V Q) ^ ~P) v ((~P v Q) ^ R) How do you produce the next steps: not sure how this was produce: =(~P V (Q ^ ~P)) V ~P ^ RV QAR Also this

Q: |₁vbd = (₁ + d) v (b← d)

A: Here we use the logical equivalence laws to answer the question as follows.

Q: Let X ∼N(√2 ,(σ^2)), where (σ^2) > 0 is unknown. Suppose we have that P(X > 2√3) = 0.2 . Find (σ^2).

A: From the provided information, X~N (√2, σ2) Here σ2 > 0 P (X > 2√3) = 0.2

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: This is required solution. May this help you.

Q: 1 L-1 (s + 1)2 S Select one: O a. -te^t O b. te^(-t) O c. te^t O d. t^2 e^(-t)

A: option (b) is correct. see below the answer and explanation

Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

A:

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

A:

Q: Let f(x) = √34+x, a = 2, and Ax = 0.1. Estimate Af using the Linear Approximation and use a…

A:

Q: differentiate (1/2)(r^(-1/2))+(1/7)(r^(-6/7))

A: Given Information:  The expression: 12r-12+17r-67

Q: QAP ~(Q^P) T-T T-F F-T F-F O O

A:

Q: Show that if f (x, y, z) = 0 then = -1.

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Q: * 31² +t+4 dt t' +t

A:

Q: Show that F(n fla)] ds pleae do it frast

A:

Q: Solve the following differential equations. Express the solution of the given initial value problem…

A:

Q: Differentiate Find y' Show all work

A: y=3xlog3x

Q: Compute the following (a) det(ABA-1). (b) det(A-B'A²). (c) det(A²B). Tf dot( Jot( D)

A:

Q: (p^(~(~pVq)))V (p^q) =p

A: The given equivalence that has to verify is as follows. p∧¬¬p∨q∨p∧q≡p

Q: c34 d.x (x – 2)^/5 Ji

A:

Q: Used to determine the distance between two points (*11) and (*, V2) d= V(*-*)2 +(2 -1)2 and (X2 d%3D…

A: Given that distance between points                                                 (x1, y1)  &…

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: (p v q) → (p ^ q). p pv q (pv q) → (p ^ q) (Click to select) : (Click to select) : (Click to select)…

A: Statements formed by combining two statements using an operator is called a conditional statements.…

Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

A:

Q: So, L' (e^ F (4)) = f (t-a) ua (t) Now 2 [(5m) in en -e. it los (i) L uk [sint} 2k --(4-k)s - ille…

A:

Q: x2 dx zX - biN 円-X

A: We will use substitution to solve this

Q: Let p = 1, q=1, r=0 Find value of the following expression (p^q) v ((p ^r) ^ (q V r)) =

A: Note that 1Ʌ1 = 1 1Ʌ0 = 0Ʌ1 =  0Ʌ0 = 0   0V0 = 0 1V0 = 0V1= 1V1 = 1    We have given p=1, q=1, r=0

Q: Explain: why it is =show_steps, please explain each part : (~P VQ) ^ (~PVR) =~PV QAR

A:

Q: Y~N (100, T) value of PCY >105Y >103) ?

A: Given  Y~N(100,7)

Q: Differentiate y = (t^2+2)/(t^4-4t^2+5)

A: We have to find differentiation

Q: Assume X~Geom(x) with p=0.58 and Z=2X. Find P(Z>=8)

A: Geometric Distribution: Let there is a sequence of trials, each having two outcomes, say Success and…

Q: V15 '3-12.V14 * V35 13.V5 + V3

A:

Q: (~T+ F) (FAT): uthValue

A:

Q: What is the antiderative of xysin((x^2)y)?

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Q: FG) ={(g6)) and 861)=2 Fing F'(2)

A:

Q: Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

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Q: ^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

A: To solve the given triple integrals

Q: 2 ( y' V(4-y') (4-у?)3

A: To evaluate : I=∫02y34-y23dy I=∫02y24-y23ydy Let 4-y2 = t ⇒-2ydy =dt ⇒ydy =dt-2 Now for, y=0, t=4…