Verify the final value theorem of f(t) =1+et[sint + cost]. O- 1 1

Q: Calculate the flow in the field F along the path C. Flow means line integral F = (x - y) i - (x 2 +…

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Q: A pilot wants to fly on a bearing of 656. By fying due east, she fnda that a 4.7mph wind, bowng from…

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Q: factor completely 12 - 4Uv - 32v2 1. (u - V)u + 8v) 2. (u - 4v)(u + v) 3. (u - 4v)u + 8v) 4. (u +…

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Q: For the indicated graph, find the degree of each vertex in the graph. Then add the degrees to get…

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Q: Consider the following. f(x)  =  x(x2 − 10x + 24) g(x)  =  x2 (a) Use a graphing utility to graph…

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Q: A spring with constant k = 2 is suspended in a liquid that offers a damping force numerically equal…

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Q: 6. 8 %3D 9 -9 eAt %3D Use X = EATC to find the general solution of the given system. %3D

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Q: 2. Let A:= {1,2,3, 4} =: B and T:= {(a, b) € Ax B | e Z}. (a) Find A x B. (b) Find T (c) Check what…

A: Given: A=1, 2, 3, 4=B and T=a, b∈A×B : a+b+12∈ℤ To find: a) Find A×B b) Find T c) Check what…

Q: In an animal sanctuary, it takes 44 kg of meat per year to feed 4 dogs. How many kg of annual meat…

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Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given vector field is F(x, y) = yi - xj

Q: In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial…

A: We can solve this using gauss Seidel method

Q: QUESTION TWO A company has three main departments, which are Sales & Marketing, Inventory and…

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Q: 5. Consider the matrix A Find the eigenvalues of A. Find a basis for the eigenspace corresponding to…

A: Given: A=2-1-12 To find: a) Eigenvalues of A. b) Basis for eigenspace corresponding to the smallest…

Q: Let X and U be Banach spaces and let C: X → U be a compact linear map. Assume that U is infinite…

A: Given that X and Y be Banach spaces and let C:X→U be a compact linear map. and let Uis infinite…

Q: 3 2(5 + V4i) i=0

A: Given series is ∑i=135 + 4i

Q: Let f be a function admitting continuous second partial derivatives such that Vf(x, y) = (ax² – x,…

A: Solution :-

Q: Use a local linear approximation of the function f(x) = VI cos[(V2x)T] approximate v3.98…

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Q: Refer to the accompanying graph. Complete parts (a) through (c) in order. (a) Use the nearest…

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Q: Determine whether the following functions have an absolute maximum or mini- mum. Find those values…

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Q: 1. Let q-p" be a prime power. Show that X+ 1 is irreducible in F [X] if and only if q=3 mod4. (Hint:…

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Q: 1. Solve the differential equation (x² + y)dx + (x + y²)dy = 0.

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Q: * Nicole Joseph 章《 10 Draw a circle around the ball using the 66 standard form of a circle. A (x-h)…

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Q: а. Complete the basis step of the proof.

A: To prove that:              ∑i=0n2i=2n+1-1  for any nonnegative integer n.

Q: 2. Let A:= {1,2, 3, 4} =: B and T:= {(a, b) E A x B | l e Z}. (a) Find A x B. (b) Find T (c) Check…

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Q: ] Evaluate the following (Express all answer in Rectangular Form) a. cot log(1 – 4i) i b. (2ea C. z²…

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Q: Using Modified Euler's Method, approximate the initial value problem for various values of x given…

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Q: Evaluate the given Laplace transforms. (Write your answer as a function of s.) L{1} %3D L{t} Use…

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Q: For the polynomial function y = (x + 4)2 (x + 1)(x – 3)3 find the following List the factors, zeros…

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Q: Find the value of x in the following figure. Assume that lines m and l are parallel. 25° (5x-54)° m…

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Q: Find the volume of the solid generated by revolving the area bounded by an ellipse 9x? + 16y? = 144…

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Q: The point (17, -9) is translated to the point (6, 2). Select the description of the translati 5 A 9…

A: Given that the point (17, -9) is translated to the point (6, 2)

Q: Verify that y = e-2# is a solution of the differential equation y" + y' – 2y = 0.

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Q: . Two cubic meters per hour of water are cooled from 30 °C to 4 °C. What is the rate of heat…

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Q: G Show that othe differential equation has a general solution of the form 8. Co70g bo70 n-0

A: Given differential equation xy''-3y'+xy=0     (1) Let the solution be y=∑n=0∞anxn+m then…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx 2x + Зу - 8…

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Q: Two infinite black plates at 800 °C and 300 °C exchange heat by radiation. The heat transfer rate…

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Q: Let -4 -6 4 6. A = 6. 2 -2 -6 Find an orthonormal basis of the kernel of A.

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Q: 1 3 2 6 . -1 -3

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Q: First Profile Second Profile # of # of Ranking Ranking A 22-member committee is selecting a site for…

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Q: Question 7. a) Find the unique solution of the system of differential equations dg g+h dt dh g - h…

A: For the solution of the problem follow the next steps.

Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

Q: Determine laplace trans forens

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Q: (2). Consider the double integral 1= ||. 72+ y? dA where R is the region of the XY plane, ven in the…

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Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

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Q: Use pola

A: Introduction: To convert the rectangular coordinates x,y into the polar coordinates r,θ, we have,…

Q: Lucky you! You went to couponcabin.com and found a 10% off coupon to your significant other's…

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Q: . Let G1 be the solid enclosed by the xy-plane, yz-plane, and the planes x+ 2y + z = 4, and x – y +…

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Q: Match the pairs of strings of English letters on the left with the equivalence relation on the right…

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Q: find the area of the region enclosed by the curves y = sinx, y = cosx, x = 0, and x = 2π

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Q: Determine the degree of the splitting field of x4 3 over Q. Justify your - answer.

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