Find the equilibria of the difference equation xt+1 = stable or unstable. If xo = 1/2 what is lim x? t→∞ 4xt 1 + 5xt and classify them as

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2- P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: Q4) If the power series method was used to solve the following ODE.. (x-0.5)y"-y' a) () +8 + (x² -…

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Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

A: 2x = 3y2+ 1 Consider a horizontal strip at a distance y from x-axis of thickness dy.

Q: Q23) The kernel of the Laplace transform of f(t),t> 0, is: d) e-s b) e-t a) e c) e-st Q24) The…

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Q: Q17) Evaluate L (2 e-2t sin4t :-0.5 cos3t): B (5+2)2+16 2s2+18 b) 8 (5-2)2+16 252418 c) (s+2)2+16…

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Q: Determine, with motivation, whether the following function satisfies Dirichlet's conditions on the…

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Q: a) y(t)=ce²t cos(5 t) + c₂e² sin c)y(t)=ce²t cos(√5 t) + c₂et sin (√5 t) Q8) The inverse Laplace…

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Q: Monster truck Alpha pulls on an object with a force of 12000 N at a direction of [N 15°E). Monster…

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Q: Solve for the volume of the solid generated by revolving about the x-axis the area under y = √√x…

A: This question is related to volume of solid.

Q: Obtain a numerical solution of the differential equation = 3y - x in dy dx the rang 1.0(0.1) 1.5…

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Q: Find the integration of the following functions 2) fx tan(x² + 1)dx COSX 1) -dx 3+8sinx

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Q: Given y=; x²+1 1-x² a) Intercepts; b) Asymptotes and Behaviour; c) Intervals of Increase and…

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Q: USING MODULAR ARITHMETIC PERFORM THE FOLLOWING OPERATIONS    A).  (27 + 7) (mod 4)…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: A consumer has set a budget of $200 for the consumption of good X and Y. The price of Good X is $30,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q21) One of the following is correct for functions the f(x)=1,g(x)= x³ and h(x) = ln(x): a) f(x),…

A: To check the linear independence we shall find the Wronskian for the given three functions. To find…

Q: Q20) The singular point (s) of (x + 1) y' + x²y = 0, is (are): a) 0,1 d)-1 b) 0,-1 c) 0

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Q: 2y x+1 . Consider the lines l : 5 = 2z - 6 and m: x=-1+10t, y = 7t, z=2+t. 7 1. Determine if & and m…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = 3e³t 3 Y(t) = ₁e…

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Q: a. b. In n {an} = {1 - (n In (n+1) 1 8n²16n +6 7=200 + T- en-

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Q: For each part below, consider the area enclosed between the curves y = 2+1, from 1 = 0 to x = 3/1/2…

A: Note: As per the guidelines we are supposed to answer only 3 subparts question. Please upload it…

Q: If f & R[a, b], then f is not continuous on [a, b]. If each fn is differentiable on [a, b] and fn ⇒…

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Q: Question 3 You want to create a cylinder having a diameter of 14 units with a hole in it with a 4…

A: We need to create a cylinder whose diameter is 14 units.  Also, there should be hole in the middle…

Q: 7. Let S = {(3x² + 1, x − 1) | x € Z}. (a) Show that S is a subset of R. (b) Are (13,-3) and (7,1)…

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Q: Solve for x. X= (Round to the nearest hundredth.) 45 C B

A: Let us consider a right angle triangle  sinC=ABACcosC=BCACtanC=ABBC

Q: Question 5. - J (a) Express the permutation (2 4 5) (1 3 5 4) (1 2 5) as a single cycle or a s a…

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Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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Q: 2. Determine if the series Σ Σ n=1 πη is absolutely or conditionally convergent.

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Q: Use the results of Problem 14 to find power series solution for the famous Gaussian integral below…

A: Solution :-

Q: 12. 13. 14. 15. 16. Find the gradient of the line joining the points A(5, -7) and B(- 3,01 Find the…

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Q: If n₁n₂ X n3 = 0, then: ● There is a single point of intersection There may or may not be points of…

A: To find- If n⇀1∙n⇀2×n⇀3 = 0, then: There is a single point of intersection There may or may not be…

Q: Question 2 Consider the graph of some function y = f(x) which is periodic and shown below. 4 MAL x…

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Q: 9. The Z-score that is associated with a confidence level of 95% is: a. 2.575 b. 1.645 C. 2.01 d.…

A: We have to find the correct choice.

Q: Q2/ solve Simultaneous Differential Equations: Find X(t) only dx dy 2 +x+ = t ... (1) dt dt dy dx 3…

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Q: - Obtain a numerical solution of the differential equation = y - 2x in dx the rang 1.0(0.2) 2.0,…

A: To find the solution of the first order differential equation dydx=fx,y with the initial condition…

Q: Q13: Given the following table x f The value f" (1) is (A) 15 (B) 12 -1 -21 (C) -12 1 15 (D) -21 2…

A: NOTE: As per the guidelines we are supposed to answer only one question because this is not a…

Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: a) u' + 6u = -6 c) u' - 6u = 6 d) u' + 6u = 6 Q5) The general solution of 2x2y" + 3xy' - 15y = 0,…

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Q: 4- Write just the first table of Big-M method for the following problem Max Z= 2X₁ + X2 s.t. -3X1 +…

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Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…

A: Given: X: no of units of product alpha Y: no of units of product beta X>=0,Y>=0 Minimize…

Q: 5. What is the minimum number of students, each of whom comes from one of the 72 provinces, who must…

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Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: Six students are trying to identify an unknown chemical compound by heating the substance and…

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Q: a) e-3x b) ex ©e. d) Q4) The linear form of nonlinear ODE y' - 2y = 2y, is: a) u' + 6u = -6 b) u'-6u…

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Q: = Consider the solid formed by the points outside the hyperboloid z²+y²-2² 8 and inside the cylinder…

A: As per the question we are given a 3d region which is inside the hyperboloid x2+y2-z2=8 and inside…

Q: Q3) Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z)…

A: Given function is fz=z3x+iy

Q: etermine p and the radius of convergence of the sum 2n (n!)2n2 -x²n (2n)! n=0

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Q: Consider the following linear programming problem: Max 3A + 3B s.t. 2A + 4B ≤ 12 6A + 4B ≤ 24 A, B≥…

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Q: Evaluate the integral ₁2-11-1 Sindz.

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Q: W Exercises Find the approximate solutions of the initial value problems using successive…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the Fourier transform of ƒ (t) = 2 for -T≤t≤0 2 for 0 ≤ t ≤T

A: We have to solve given problems: