Determine if logical notation is tautology, contradiction, or contingency a. (pVq)A (pr)^(q →r) → r b. (p®q)^(p ⇔ q) Upload your complete and neat solution.

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A: It is given that the functions f and g have the exact value on some open interval containing 0.…

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Q: 3. Consider the canonical basis {₁,2,3} of R³ and let F = {f₁, f2, fs} be defined by =(1,0,-1), 72…

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Q: Show that ~p-->(q-->r) and q-->(pVr) are logically equivalent by completing the table below: p F F F…

A: Here we use the table of logical formulas to identify the logical equivalent. The two statements…

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Q: 3. Consider the canonical basis (,,} of R³ and let F = {fi, fa, fs) be defined by (1,0,-1), 72…

A: We apply the properties of linear transformation to find the linear transformation.

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A: Solution:  To find the integrating factor of the given differential equations

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: 2. Find x, y and z using Gaussian elimina x + 2y + 3z = 17 3x + 2y + z = 11 x - 5y +z = -5 (5

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Q: You decided to invest P80,000 (P) to a bank. If the interest is compounded daily using the Banker's…

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Q: Show that ~p-->(q-->r) and q-->(pVr) are logically equivalent by completing the table below: ~P p F…

A: We need to prove that the statements ~p→p→r and q→p∨r are logically equivalent. We know that two…

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Q: OA. (ey + ycosx)dx + (xey + sinx + 1)dy = 0 O B. (cosx.cosy — cotx)dx – sinx.sinydy = 0 |3y (x²-1)dx…

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Q: Employ fixed point iteration to locate the root of f(x) = sin √x-x. Use an initial guess of xo = 0.5…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) and to approximate the root of the…

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Q: 2 C. X² + 2x = 8 2 X² + 2x + 1 911 = x (1 + x)/ X + 1 X = 4-1 X = 3 1 15 +1 x+1=± 4 4 X + 1 = - 4 X…

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Q: If the future value F is calculated to be P1500 and the simple interest / is P150, how much is the…

A: Solution - 35 : Given future value F=P1500Simple interest I=P150

Q: Find all integers such that 1307|r²-5. You may use x (without proof) that 1307 is prime.

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Q: ABC+AB'C+AB'C'+A'BC

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 1. Consider the parallelepiped with adjacent edges u = −2ï° + 3j* + k”, v² = −í* + 3j* + 3k* and w*…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…