Find the distance from the point (1,1,1) to the plane 2x+2y+z=0

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A: In this question , we will find the rectangular equation.

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Q: Solve the following system x'=Ax and please draw a phase portrait where A= (image below)

A: Given that Let,  ,then solution are of the form where  is non real multiple of  and  is non real…

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A: The assertion you made is true in the case of linear time-invariant systems. Let's examine the…

Q: The length of the stock needed to create t (Simplify your answer. Round to the neares

A: Given that the shape :           .To find the length of the stock needed to create the shape.

Q: Find the general solution of the given linear system. (repeated eigenvalues) 3 2 41 20 7. X' = 2X 4…

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Q: Consider the following optimization problem for the function f : R³ → R, Minimize: f(x, y, z) = 8r²…

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Q: Suppose " + x = f (t), where f(t) is a periodic extension (with period=1) of the external forcing…

A: We have to find particular solution using Fourier series.

Q: ? ? ? ? 1. z =x²-2y² 2. z = x² + 3y² 3. z = y - 4x² 4. z = -5x²

A: Plots are given below:(z=0:Red), (z=1:Blue), (z=-1:Green), (z=2:Violet), (z=-2:Black) etc.The…

Q: Find f(t). f(t) + 1 7) M(²-[ u t-

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Q: In a horse race, how many different finishes among the first 3 places are possible if 20 horses are…

A: There are 20 horses in the horse race.To Find: How many different finishes among the first 3 places…

Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 4 feet per minute. Express the…

A: Given:A cube has an edge of 5 feet. The edge is increasing at the rate of 4 feet per…

Q: 1. The eigenvalues of the coefficient matrix can be found by inspection and factoring for the…

A: (.). Given system of differential equation is,           where  is a coefficient matrix.(.) We find…

Q: Complete the following: Note: Round your answers to the nearest hundredth. Average Inventory at Cost…

A: To calculate inventory turnover at cost and inventory turnover at retail, we can use the following…

Q: 3. Consider the linear transformation 7" : R²R where for a vector z = Hille T** (x)= 22 4 Find a…

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Q: Solve the following boundary value problem. ut=9uxx, 0 0; u, (0,t) ux (3,t) = 0, u(x,0) = 9 cos O A.…

A: (.)  Given,            (.)  The solution of heat equation,                subject to the boundary…

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: Given,           To find a member of the family that is a solution of the given initial problem.

Q: Use the substitution y = x' to find a general solution to the given equation for x > 0. d²y 3 dy dx²…

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Q: K Solve the quadratic equation. -52-4z +5=0 .... Select the correct choice below and, if necessary,…

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Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

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Q: Reading scores. The grade-level reading scores from a reading test given to a random sample of 12…

A: The​ grade-level reading scores from a reading test given to a random sample of  students in an…

Q: Purchase price of product Pre-owned Specialized Mountain Bike $ Down payment 250 $ 100 Amount…

A: (a) Amount financed: The amount financed is the difference between the purchase price of the bike…

Q: 4. If D (a, b) = 0 then the point (a, b) could be any of a minimum, maximum, or saddle point (the…

A: Given: We have a function  of two variables, and with continuous second-order partial derivatives…

Q: Solve numerically the DE: xy' = x³ + xy, with y(0) = -1 and h = 0.1, Find y (0.4) = Euler's Method…

A: So givenxy'= x3+xy f(x,y)= y'= x2 + y

Q: = [8¹] 0 Find the eigenvalues. Let A = Enter a list of eigenvectors, one representative eigenvector…

A: We have to find the eigen value and eigen vector of the matrix  and determine whether the matrix is…

Q: Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds:…

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: Calculate the total mass of a metal tube in the helical shape r (t) = (cos (t), sin (t), t2)…

A: We have to calculate the total mass of a metal tube in the helical shaper (t) = < cos (t), sin…

Q: Determine the determinant of the matrix below: -5 1 3 4 -8 -5 -2 9 -6

A: We have to determine the determinant of the matrix.

Q: Use Green's theorem to evaluate √(3 + ex²). dx + (tan−¹(y) + 3x²) dy y 4 3 2 1 f F. dr. (Check the…

A: Using Green theorem we haveto evaluate

Q: Let C be the path from P to Q in the figure on the right that traces C₁, C2, and C3 in the…

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Q: i=1 6. (a) Given a collection of data points {(x₁, yi)}₁ find the best least squares approx- imation…

A: (a) Given a collection of data points {(x, y)} find the best least square approximation of the form…

Q: 2x², - + if x ≤ 3 if x>3 For the function f defined above, m and b are constants. If f is…

A: If function is Differentiable at x=a,Then ,Function will also  continuous at x=a.

Q: b) Solve L(fi) = 9; for the unknown polynomial fi in the following cases: i. 9₁ = X² + X³ ii. 92= 5X…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: In this question, concept of Laplace Transform is applied.Laplace TransformThe Laplace transform is…

Q: Determine the determinant (using cofactors) of the matrix below: 1 -8 -6 -3 -1 -9 -3 0 -1

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Q: Metrics. Show that, for fixed x0 in E, the function  from E into ℝ+ is uniformly continuous.

A: Given:Let  be a metric space, and let ​ be a fixed element in .Objective:We want to show that the…

Q: 2. Find the general solution for the following differential equation: d'y dt² Justify your answers.…

A: We have to find the general solution of the differential equation

Q: 5. Use the appropriate test to determine the convergence or divergence of the series. Clearly state…

A: Since the question contains multiple sub parts, So  according to Bartleby guideline, I will do only…

Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: A place of bone in the shape of a right croular cylinder is 7 cm long and has a radius of 19 cm. It…

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Q: Calculate the total mass of a metal tube in the helical shape r(t) = (cos (1), sin (t), 12)…

A: Solution :-

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: Use (8), • S* f(1) dt = £^¹{F(5)}, to evaluate the given inverse transform. (Write your answer as a…

A: we know that laplace transform of e^(at) is (1/(s-a)).

Q: Solve the system of differential equations. [6 -2] [2 13] T 2 10 x'= x₁ (0) = 14, x₂(0) = 26 X T₁(t)…

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Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . . , then L{t^f(t)} =…

A: To find out Here  So we have  Because Thus

Q: 22. Working modulo 9 or 11, find the missing digit in the calculation below (698544) (543278) =…

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Q: Let (G, *) be a group. Prove the following. (a) For each y = G, (y-¹)-¹ = y. (b) For x, y = G,…

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Q: Find the values of a, b which makes ƒ everywhere differentiable. (a) f(x) = {r² (b) f(x) = x≤2 ax+b…

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