1. Suppose we want to argue, by using the definitions and axioms from our lecture on Peano arithmetic, that if n + 1 = 2 for some n € No, then n = 1. Give a justification for each of steps in the proof: each justification is either an axiom or a definition. We start by assuming that n + 1 = 2, where n € No. (a) Therefore n + s(0) = s(s(0)), because ... (b) Therefore s(n+0) = s(s(0)), because... (c) Therefore s(n) = s(s(0)), because... (d) Therefore n = s(0), because ... (e) Therefore n = 1, because...

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

A:

Q: a. Show that If 1 iv3 z = 2 2 Then z7 = z. b. Evaluate all the roots of the Equation: z* + 16 = 0

A: We will solve both the parts only using some basic knowledge of complex numbers and their…

Q: answers were wrong.

A: X Frequency 0 2 1 6 2 8 3 36 4 50 5 68 6 55 7 36 8 19 9 10 10 4

Q: 1. Let U = {1,2,3,4,5,6,7},A= {l,2,3,4}, B (3,4, 5}, C = {2,3,4,5,6}. Find the following: %3D a. AUB…

A: Given,U=1,2,3,4,5,6,7A=1,2,3,4B=3,4,5C=2,3,4,5,6

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

A:

Q: Find the value of x and y so that 3 6. 12 16 Both x and y are equal to..

A: We use the properties of matrices to find the values of x and y.

Q: Solve the following lin dar System ",- Uz + U,- Mq M, t Ug t Wu 4v,-4%, +hu, - 2x, + 2n,- 2ng thy =…

A: x1-x2+x3-x4=4x1-x2+x3+x4=04x1-4x2+4x3=4-2x1+2x2-2x3+x4=-3

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

A:

Q: 2a+7 da a2+a-2

A:

Q: Solve the first order PDE -2и, + 6и, — 0, и (4у, у) — 2у + 1

A:

Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

A:

Q: Let à = 2i +4j - k. Find a.

A:

Q: a. Write (-3, 5) in terms of i and j. b. Given w 6.2i – 3.4j and v = -1.7i + 2.2j, write 3w – 5v in…

A: It is known that a vector is a quantity which has both magnitude and direction. Now, a vector can be…

Q: Find

A:

Q: Let ā = 7i – 3 and 6 = 3ỉ – 73. Find ā - b

A:

Q: prow $ PCC-AIB)= pccl B) - p(AIB)

A: The answer is given below

Q: arg (3 – 2i) =

A:

Q: z² dz z4+I d d x

A:

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: Calculate the result for the following, where A = True, B = False, C = True and D = True %3D F = NOT…

A: Given A=True NOT A = False B=True NOT A AND B = False AND True = False C = True

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

A:

Q: Find the value of (-j)!nj.

A:

Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

Q: Find A ) A= [ ' for A -3 -2 3.

A:

Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

A:

Q: Find

A:

Q: Verify that              a.(b x c) = b.(c x a) = c. (a x b) if               a =4i – 3j +6k ,  b=…

A: Given that a→=4i-3j+6k, b→=5i+4j-3k, c→=4i+6j+3k We have to verify that a→·b→×c→=b→·c→×a→=c→·a→×b→

Q: Find |v| given that v = ⟨10 lbs, −4 lbs⟩.

A: The objective of the question is to find the magnitude of the vector v. The vector v is given in…

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: If l2 = 3 compute DI, and D = -1 -2 and I2D.

A: Given- I2=1001 and D=23-1-2. To compute- The value of the expression DI2 and I2D.