Determine the following number is rational or not, if it is irrational, prove your result, if it is rational, simply to fractional expression: x = √3/2

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Q: Suppose F(x, y, z) = (–2y, 2x, and let H be the open hemisphere x² + y² + z² = 1 for Z> 0 oriented…

A: Here given,    F(x,y,z)=(−2y,2x,z3)and H be the open hemisphere x2+y2+z2=1 for  oriented in the…

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Q: James is buying a laptop computer.  The cost of the computer is $4080. He wants to pay $1100 cash…

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Q: Q4/Solve the following equation by (Gauss seidel iteration method) 3X1-2X2-6X3=4 X1+4X2-3X3 = 2 2X1…

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Q: Consider R4 with coordinates t, x, y, z. Let a = xdt / dx + xdy dz. Calculate a ^ a.

A: Given: is with coordintes .Let .To Find:The value of .Concept Used:

Q: 5) Given the following differential equations with output x and input y, linearize the equations…

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Q: Given is a sequence bn defined in recursive form 1 A * = (-+ ^^) bn - n-1 2 bn-1 for a given A> 0.…

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Q: Find the distance between point A(-1,4,6) and the line of parametril equations x = 2-3t, y = -4+t, z…

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: Consider the initial value problem cos(x)y"+ey'-5xy = 0 (a) What is the largest interval on which a…

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Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

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Q: In the data set below, what is the variance? 3 8 6 2 4 If the answer is a decimal, round it to the…

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Q: f(t) 4, If f is the Fourier series of g(t) = {16- + 8 WI Σ 71-1 help (formulas) What does f(-4)…

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Q: 11.09 ou have been given the following to consider -9 en 4 f(t) = Za 9 for for 1,0 04t 45 54t48…

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Q: 2. Find the particular solution of the given system of equations. Sketch a picture and describe the…

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Q: ФЫ ВАПРОЫВАПРОПДЗАПРОЛДЖЫВАПР ЯЧСМИТЕЧСМИТЬБАСМИТЬБЮ ЯЧСМИ 1 DON'T USE AI | DON'T USE AI |DON'T USE…

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Q: 8 F=T f = e 8 -2x2 /L2 dx

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Q: ) Use Convolution theorem to calculate Inverse Paplace transform. 1 Ľ L" [(2+1) (10²4+2+ +50)]

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Q: un bbq rus nobal His 19. If A and B are mutually exclusive and if P(A)=0.3 and P(B)=0.4, what is the…

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Q: dy By using chain Rule find- dx y = 2t + 5, x = t² + 4

A: Consider  and .To illustrate derivative  by using chain rule.Chain rule for derivative given as .It…

Q: Given the equations below, determine the value of R if R=v+w+x+y+z 8v +4w +-4x+-6y + 4z - 11 8v…

A: Given:The system of equations is given by,To Find:We have to determine the value of if .

Q: Consider the initial value problem (x² − 49)y"+3xy'—2y = 0 (a) What is the largest interval on which…

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Q: Let S be the triangle with vertices (4.9,2.1,3), (6,4,2), (1.5,2.5,5). Find the image of S under the…

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Q: Q1.94 You have been provided with the following to consider: f(t) = 6 +8t + 3t², for Which is…

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Q: 16. -7 -5 }] 1 -3

A: We have to find the invertible matrix  and the matrix

Q: Find the eigenvalues and eigenvectors, 4/5 A= 3/5 1 real and complex, of the matrix -3/5 0 4/5 0 2 2

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Q: For each of the following graphs, obtain a lower bound L(A) for the area enclosed by the curve by…

A: The graph of the curve is given.The lower bound of the area is to be estimated by counting the…

Q: Q6. Solve the following difference equation using z-transforms: Yn+1 + 3yn = 4√n-2, yo = 2

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Q: 1. Solve the separable equation 2. Solve the first order equation (y – x²y) dy dx = 1. =

A: Accoring to our guidelines we can solve one question at a time , so we solve 1st one  for you.

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 213  and a standard…

A: For a sample point x, the corresponding z-score is given by    z = (x - )/ Where,  = mean of the…

Q: 5. The following spinner is spun: Find the probabilities of obtaining each of the following: a.…

A: We have to find the probabilities of obtaining each of the following:a. P(factor of 35)b. P(multiple…

Q: Let f(x,y)= In (x² + y2) 2 and let C be the circle x² + y² = a² "fc a. Evaluate the flux integral…

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Q: Given the equations below, determine the value of R if R=v+w+x+y+z 8v +4w +-4x +-6y + 4z = 11 8v…

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Q: Find the series solution for (4x² +8x+5)y" - 8y = 0 about x =

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Q: OR CA NV ID UT AZ

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Q: The graph of the function f(x) is (the horizontal axis is x.) Given the differential equation x' (t)…

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Q: ons If the height of the stored product is greater than the height of the conical section, the…

A: The equation for a cylinder must be added to the volume of the cone: The height of the conical…

Q: f. If x₁ = (4,1,-1,1,0), then Ax₁ = g. If x₂ = (1, -2,-2,0, 1), then Ax₂ = Is X₁ in the null space…

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Q: Background: A souvenir company plans to manufacture commemorative paperweights made of variable…

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Q: portrait: -10 -6 x(t) = y(t) y(t) =-9.sin(x(t)) - y(t)/5 15 -pi 10 -10 -15 y 1. What are the…

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Q: Let Q be the rectangle formed by (0, 0, 0), (1, 0, 0), (0, 1, 1) and (1, 1, 1) oriented CCW as x² dx…

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Q: 0 1 1 1 1 1 101 100 1 10 11 1 Does the graph whose adjacency matrix given by 1 1 1 0 1 1 Find one if…

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Q: Both Bisection and Newton-Raphson Method 10. x³ + x - 1 = 0

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Q: Solve using the Laplace transform: ∙y₁ +6y=e, y (0) = 2.

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

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Q: The table shows per capita peach consumption. For Cap Consumption of Peaches pour) P $1.50 per pou…

A: The cross-sectional model is given by the following  equation,, where f is family income in…