sv(8vh) (8→i)^(h→j) B. (i→j)→(fvh) .h Proof: Step Statements Reasons sv(gvh) (g i)^(h→j) gvh iv j (i→j)→(fvh) (Svh) 4. -f 8 Q. E.D. 2. 6 780

Q: Find the dual of the Boolean expression T+r.0+ ryz O T.(T+0). (T +y+ z) O r. (r.1). (T + y+ z) O…

A: The dual of Boolean expression is given as follows :

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A:

Q: For each of the following, state whether it has meaning. If not, explain why: (a) (ū. v) — |w| (b)…

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A: Solve limit

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A:

Q: Let p(x) : x > 3,q(x) : x < 3and r(x') : x = 3 be propositions over R. Which one of the following…

A:

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A: (a) 2x2y3z43 Simplify as, 21×3x2×3y3×3z4×3=23x6y9z12=8x6y9z12

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A: Given data:- Part A=   Part B

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A: Solution:-

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Q: Find det (A) (2 3 4 5 1 32 4 A = %3D 5 34 1 4 2 3 5,

A: To determine the determinant of the below matrix. A=2345  1324  5341  4235

Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

A:

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

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A:

Q: 30 8. Evaluate >² – 3i + 5). - i=8

A:

Q: 8.5.3 Еxample C Consider the equation Aar+b = cx + d, (8.197) where A > 0, a + 0, b+0. (8.198)…

A:

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

A:

Q: [2 find A-1 if A = |1 -2 [4 0. 0. A= B= 1 D= -1 -1575215

A: We have find the inverse of given matrix

Q: Given, B. A 8. # [al find B' [6] find A UB [C ] find AnB [d] find (AUB)' [e] find AU8 Ef ind (AU8)…

A: Solution:-

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A:

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A: Use the method of substitution to solve a given problem.

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A:

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A: We will evaluate the following Integral.

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A:

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A:

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A:

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A:

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Q: [(An B) n C] U [(An B) n č]U (Ā O B) {(Ān B) n [(AU B) n (A U B)]} U [(An B) U (ĀN B)] 3. 4.

A:

Q: (1+i)1-i (1-i)1+i· Q5- Find the result of Hint: Take n = 0 (the number of revolutions).

A: A complex number raised to a power of another complex number is always a complex number, this is an…

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A: We are given some statements to verify De Morgan's theorem. We can do this in the following way:

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A:

Q: and a3= Recursive : an=an-lor I-udo'b=ub: oilldag

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.