59. Circulation Find the circulation of F = 2xi + 2zj + 2yk around the closed path consisting of the following three curves traversed in the direction of increasing t. C;: r(f) = (cos t)i + (sin t)j + tk, 0

Q: 59. Solve the differential equation х — у —1 x + y + 3 by finding h and k so that the substitutions…

A: Given: A differential Equation dydx=x-y-1x+y+3 To Find: Solution of the given differential equation…

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Q: Write −2/3 ∈ Q as an ordered pair of ordered pairs, as in our in-class construction of the rational…

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Q: answer it correctly and asap please thank you

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A: We will use method  of  cylindrical shells to compute the volume.

Q: Problem 4 There are three causal systems with the following difference equations labeled (1), (2),…

A: Here the poles are inside the unit circle, Therefore the System 1 is STABLE.

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Q: Problem 2. Let C([0, 1]) be the set of real continuous functions on [0, 1], induced with the norm,…

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Q: = {₁ b) B= 1 2n +1 : nez}.

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Q: 2.3x 1. Approximate the first derivative of f(x) = 5e².³x at x = 1.25 using a step size of Ax = the…

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Q: 2. Use Cauchy's Integral formula, Evaluate the following: sin4Z = I= & Sinaz Jc (Z-4)³ • I- • 1 = $…

A: See below for the complete solution -:

Q: Problem 3: Is the following differential equation separable? If it is not separable, just write "ODE…

A: The given ODE is y'=yy-1. We have to check the ODE is separable or not. If it is separable then we…

Q: 2. The average age of a car registered in the Land Transportation Office (LTO) is 10 years or 120…

A: Given mean= 120 months,              S.D=20 months, Sample size n=36 cars.

Q: Suppose that the matrix A has the following eigenvalues and eigenvectors: 4 A₁-4+3i with ₁ = -4+5i…

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Q: Solve the ordinary differential equation 4x2y" + 4xy' + (4x2 -16)y = 0. Then evaluate the first four…

A: Given the ordinary differential equation                               4x2y''+4xy'+(4x2-16)y=0.

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Q: Let f: A→ X be a function such that A CX. Show that if A is compact, then the range of f defined by…

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Q: Verify whether the subsets of W of V = M₂2 is a subspace: x- w = [* *=²] (a) Closure Property of…

A: The given subset W of V=M22 is W=xx-2yy0. We have to check whether the subset is a subspace or not.

Q: Prove that limx → c f(x) = ∞ if and only if for every sequence an that is in the domain of f and…

A: As per the question we have to prove that limx → c f(x) = ∞ if and only if for every sequence an…

Q: filer x 1+nx x € 10,00)

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Q: Q5) Solve (y")3 = y(1 + (y)²).

A: To solve the given differential equation : (y'')3=y(1+(y')2)

Q: Evaluate $ c TZ e cusz -dz DCi |Z=1|=1 ✓ C₁ | 2+1 | = |

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Q: Consider the following initial value problem y" +3y' +2y=te²t y(0) = 0 y'(0) = -1 Denote by Y(s) the…

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Q: 13. 14. The table shows how the mass of a chicken embryo inside an egg changes over the first 20…

A: To solve the four bits based on the table given.

Q: 3. Find the Laurent's Series for 3 F(Z) sinz (Z-πr)4

A: f(z) = {sin(z)}/(z - π)4        = {sin(π - z)}/(π - z)4        = sin(h)/h4    putting h = π - z.…

Q: 3u²-3 u²+4u-5

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Q: Week no. 1 exercises-Nature of Mathematics I. Enumeration: ( 1-6] Enumerate at least 6 applications…

A: The famous Fibonacci sequence has captivated mathematicians, artists, designers, and scientists for…

Q: Graph the rational function. -2 x+2 Start by drawing the vertical and horizontal asymptotes. Then…

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Q: Verify whether the subsets of W of V = M₂2 is a subspace: [x = [* * - ²] (a) Closure Property of…

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Q: For all values of x, f(x) = x² a) Find fg(5) b) Find gf(5) g(x) = x + 3

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Q: Let V = R¹. Show that V is not a real vector space with respect to the following operations of the…

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Q: This question concerns the following exercise. Exercise Consider the linear transformation t: R³ R³…

A: Note: Due to Bartleby answering guidelines, I have solved all the subparts of only question which is…

Q: Ive (x+10)³ +88=0 where x is a real number. ite your answer in simplified radical form.

A: We have to simplify the given term.

Q: what is the laplace transfroms of the following: answe needs to he clear and show all steps h(t)=14t…

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Q: List down the elements of the following subgroups of Zp²q² = = = = = = = = =

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Q: If the random variable X denotes the real valued outcomes given in the following table with the…

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Q: 3-find the gradient of the function v if_w=(xy)/z at the point(1,-2,1), find the directional…

A: The answer provided below has been developed in a clear step by step manner.

Q: Let F = 2zi + 3xj+5yk, where is the portion of the paraboloid z = 4-x² - y² for which z≥0 with…

A: To Verify: Stoke's theorem for the vector field is F=2zi+3xj+5yk where the surface is the paraboloid…

Q: 1. Show that the graph of T is closed. 2. Deduce that there exists a positive integer N such that…

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Q: Calculate the means, variances, and the standard deviations of the following distributions. (Round…

A: Distribution a: Mean = E(X)       = Σx ∈ {1, 2, 3, 4, 5} xP(X = x)       = 1×0.15 + 2×0.18 + 3×0.33…

Q: A coin is flipped ten times in succession. In how many ways can at least eight heads occur?   __…

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Q: Which of the following sets is uncountable ? Select one: O a. { // | n = Z\ {0}} O b. {x EN||x − 7|…

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Q: Determine whether the argument in the problem below is valid or invalid. If valid, name the type of…

A: 1) Valid ,  indirct 2)we do not go to the theatre (indirect)

Q: Duality Exercises Write the dual to the given problems, solve the dual and hence find the solution…

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