Suppose x is a real number and x + 0. Prove that if then x 7 8. 2 16

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

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Q: |1 0 2 A= 2 0 0 3 13 |A|=4 O |A|=1 O |A|=21 O |A|=0 O

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Q: 1071 – 12 + 2x3 -11 +1lr2 – 13 + 3x4 2x1 – x2 + 10x3 – 14 3r2 – 13 + 874 = 6 = 25 -11 15

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Q: Find the Laplace transform, F(s) of the function f(t) = t°, t > 0. F(s) = ,8 > 0 00 Use the definiti...

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Q: 6) The wave equation, subject to the given conditions

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Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6) 1...

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Q: 2. A vector a has components ax = 1, ay = 2, and az =-5. A vector b has components b, = 3, b, =-1, a...

A: Given that a vector has components as ax=1,ay=2,and az=-5 and  b vector has components as bx=3,by=-1...

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О с....

A: We have to multiply the given three complex numbers.

Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

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Q: In the town of Tregatti a bylaw states that: No inhabitant of Tregatti can own more than two dogs. A...

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Q: 4 -1 1 X1 100 -1 4 -1 1 X2 100 -1 4 -1 X3 100 -1 4 100 1 -1 4 X5 100

A: Introduction: Every system of linear equations can be transformed into matrix form. The matrix form ...

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Q: Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the definitio...

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Q: Is this function harmonic? 2x + y³ – 3x?y a. Yes O b. No O c.Not at all O d. all of the above

A: coreect option is a. YES

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Q: Name the marked angle in 2 different ways. E

A: The marked angle can be named in two ways  The vertex will remain in same both ways  

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Q: In Probs. 33-36 find the transform. In Probs. 37-45 find the inverse transform. Show the details of ...

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Q: 5) La ecuación de transmisión de calor, sujeta a las condiciones dadas a?u ди =2 at (0 0) и (0, t) ...

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Q: The table below shows the speed-time change of an athlete in a 20-m period. The runner's speed is gi...

A: Given, I=∫020v·dt The integration is performed using the trapezoidal rule and Simpson Method.      

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Q: Let y = - ty + 0.ly and y(0) = 0.72. Use Euler's method to find approximate values of the solution o...

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Q: solve laplace problem 3y^'-4y=sin2t, y(0)=1/3

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Q: 8 - 29 g2 – 4s – 5 Find the inverse Laplace transform of F(s) f(t) = ||

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Q: (d) Let P(x) be the statement " x? > 1" and Q(x) be the statement "x+1 < 4". The universe of discour...

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Q: An artist has all her paintings framed with a 3-inch-wide border. She has a painting to be framed th...

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Q: S (1-e-2) dr using a single segment Trapezoidal Rule? O 42.88 % O 15.3 9% O 10.56 % 34.66 %

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Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O...

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Q: ams per Liter. Given that the concentration of salt in the water varies linearly as a function ρ(y) ...

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Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2  

Q: xdy -ydx x²-y"

A: Given,            xdy-ydx-x2-y2dx=0

Q: 17 Find the inverse Laplace transform of F(s) : s2 + 20s + 136 17 1 L s2 + 20s + 136

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Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: How many months will it take to pay off $6000 if payments of $727 are made at the end of every quart...

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Q: it Solve if lo0 % 28, 5니 1.8C ? 28,215.65

A: Given 100%=28,541.86 We need to find what percentage is 28,215.65 of 28,541.86.

Q: Find the paint the Surface Z = I+ xy thet is hearest on to the origin ·

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A: Introduction: First-order equations are linear equations. Lines in the coordinate system have linear...

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Q: III) ai + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 %3!

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Q: (a) Prove that the set of feasible solutions of the problem is bounded. (b) Find all basic feasible...

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Q: Ordering Fractions best shows the fractions ordered least to g 2) 5 7 3. 3) A. 10 10 10 3 7 В. 10 10...

A: We have to find the ascending order of the given functions.

Q: Let p be a prime. Show that -2 is a quadratic residue modulo p if and only if p = 1 mod 8 or p = 3 m...

A: Definition(Quadratic Residue Modulo): In number theory an integer qis called a quadratic residue mod...

Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.

A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09

Q: Noman would like to have $50,000 in 16 years to give to his son to help pay for his university educa...

A: As per the given condition the person wants to make his money goes up to $50000 in 16 years, if the ...