Determine if logical notation is tautology, contradiction, or contingency a. (pVq) (pr)^(q →r) → r b. (p®q)^(p ⇔ q)

Q: [ACS] Find all the (complex) sixth roots of -729.

A: Explanation of the answer is as follows

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A: Given: v1=1-40, v2=013, v3=4-436, p=3-327 and A=v1v2v3 To find: a) How many vectors are in v1, v2,…

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A: Answer)

Q: 46? 60

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A: The given linear operator on P3x is Lpx=px-p'x We have to find its kernel and range.

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Q: Exercise 2. Unlike real waves, complex waves can have negative frequencies. In terms of the circle…

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A: Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits…

Q: What is the unit's digit in the decimal representation of 3100?

A: Given that the number 3100

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A: Given Data: To Show that F ′ has an edge e such that F + e is again a forest.

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Q: b) Prove that the unit ball of a normed linear space is compact if and only if the normed linear…

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Q: Given the following matrix A, find an invertible matrix UI so that A is equal to UR, when R is the…

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Q: The domain for variables x and y is the set {1, 2, 3). The table below gives the values of P(x, y)…

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Q: (a) State the values of f(-3) and g(-2). R(-3) g(-2) = x = -2 4 2 -2- range 9 2 (b) Which is larger,…

A: Domain is values it takes on x-axis Range is values it takes y-axis.

Q: The general solution of the differential equation e the function x(t) = C₁ cos 2t + C2 sin 2t + c3.…

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Q: A. For each of the following, indicate the dependent and independen variables, classify as an…

A: 1. Given,              d2pdθ2=p+p'''54.

Q: Question 8 Obtain G.S. (xy + x) dx = (x²y² + x² + y² + 1) dy Moving to the next question prevents…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are…

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Q: p = F, q = T, and r = T. Select the expression that evaluates to false. O¬q O qvr O qar Opvr

A: Sol:- Given Info:- p = F q = T  r = T Expression that evaluated to false :-

Q: Let Q be a 3 × 3 orthogonal matrix whose determinantis equal to 1. If the eigenvalues of Q are all…

A: It is given that Q is 3×3 orthogonal matrix whose determinant is 1. The eigenvalues of the matrix…

Q: 2. Determine the positive real root of In(x²) = 0.7 by the following: (a) Graphical Method, (b)…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly  one is not…

Q: Give the center, foci, vertices & asymptotes. Sketch the graph y - x = 1 y + x

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Q: O x² - xy + y²

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Q: Solve for the value of C in the equation: (3xy2 + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 O A. 4 B.…

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Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dx = 0…

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Q: There are only 12 such shapes that can be formed in the plane by joining five squares along their…

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Q: What is the distance between lines L1 with P(2, 1 , 4) and a vector of and L2 with point P(-1, 2,…

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Q: 6. In a sample of a certain type of bacteria, there are 500 initially. It is known that the amount…

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Q: What is the order of the symmetry group in R3 of an n-prism?

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Q: Select the correct rule to replace (?) in the proof segment below: Hypothesis Hypothesis 1. 2. 3.…

A: For the given problem  in place of (?) simplification  of of step 1 (i.e. ¬p∧q ) has been used

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Q: (a) (b) (c) +8 {√n+1 = √n+ 2 } 2 ONG e n=1 In n +00 n=1 n=1

A: First put 5 terms and find value and look at the limit as n is large.

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A: here, number of full time equivalent pharmacists be P and number of full time equivalent technicians…

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines y-1 x+1 = 22² =2=-4 and ₂: *+¹ = y - 2 2 3 2…

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Q: Determine the solution of the differential equation: (3tanx - 2cosy)sec²x dx + tan xsin y dy = 0

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Q: c). Trace, cartesian on a : graph of g(x) = -log = (x-4) of graph. Indicate the demane, the image,…

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Q: Determine the units of the variable x in each of the following equations, and specify which rule you…

A: It is clear that 'kg' is used to denote kilograms, 'm' is used to denote meters and 's' is used to…