Obtain the Z transform of 10 s(s² +s+2)

Q: 5). Find the interval of convergence. ∞ n = 0 xn n7 + 8

A: Introduction: A power series can either be convergent everywhere or can be convergent over a…

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Q: Show that P(x) = (2n + 1) P(x) + P_1(x) n-1 where P(x) is a Legendre polynomial of degree n.

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Q: 2. Use f(x) = 2x + 5 and g(x) = x^2 + x - 6 for following combinations. A. (f+g)(x) = B. (g-f)(x) =…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: x,y) = 3y 1+x4 he rate of change of f at the point (-1, 1) along the direction . e the portion of…

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Q: 2) Find an equation of the plane that contains all points that are equidistant from the points…

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Q: Consider the following permutations. 1 Symmetric group 11 (1 cycles. 1 2 3 4 5 6 5 3 2 6 14 b)…

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Q: Evaluate F.dr if F(x, y) = (x²y)i + (xy²)j and the curve C is given by r(t)=(t²)i +(t)j, 0≤t≤1.

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Q: 35. f(x, y) = 1 + y + x cos y at Po(0, 0), R: x ≤ 0.2, y ≤ 0.2 (Use cos y ≤ 1 and sin y ≤ 1 in…

A: Linearization of the function

Q: Determine the numerical value of the following without the we of expression Togio (1000 ray…

A: Solve each part of the expression at a time log10(1000100)100 Using the law of exponents of the…

Q: a. Find whether the following graph is bipartite or not. Explain your answer by your own. 7 187 1146…

A: To find: Whether the given graphs are bipartite or not. A collection of graph vertices—points makes…

Q: What is Q(1.5) if f(x) = cos(x) and Q(x) is centered at? Round your answer to 4 decimals, for…

A: We know Taylor's series for f(x) around x=a is  Q(x)≈∑k=0∞f(k)(a)k!(x-a)k

Q: Σ 1+4+1 6 is equal to

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Q: Consider the following differential equation: d²f df dt² Ignoring the homogeneous solution,…

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

Q: Find the number of equilibrium solutions of the r x' = x(y-2) โม่ = x − y

A: x'=x(y-2)y'=(x-y) Equilibrium solution of a system of differential equation X'=AX are those solution…

Q: A second order system with a single input and a single output is the state equation given below It…

A: (a) Here we need to find the ϕt state transition matrix by the Laplace Transform method. So, we…

Q: Question 15 time (sec) 0 1 2 velocity (ft/sec) 11 19 20 12 3 1 8 feet

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Q: A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is…

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Q: compute the Fourier Transform of the signal given by the relation:  x(t) = [cos(2*pi*t) +…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 8(x²-a²) = 2a (cos - cos 0') [8(x-a) + 6(x + a)], 8(0 - 0′) sin 0 = 8(0-0') sin 0¹

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the 4 by 4 transformation matrix for the figure below form the dotted line position to the…

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Q: 15:00 liverpool.mobius.cloud a. Find the Laplace transform of f(t) = t5 e6t (using the tables given…

A: Disclaimer: Since you have asked multiple question, we will solve the first question (part a) for…

Q: Let there are 6 states then how many ways to arnage the trnasition matrix?

A: Introduction: Transition matrix is used in many different fields of mathematics. In Markov chain…

Q: (a) If f is continuous and | ₁² f(x) dx = 8, show that f takes on the value 4 at least once on the…

A: We will use  the fact  ∫abf(x) dx represent area bounded by curve y=f(x) and x-axis from x=a to x=b

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determines the volume generated by curves x² + y² =25 and ² -…

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Q: Let C = C₁ U C2 U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

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Q: 6 If the substitution y = xº is made, the 64 3√√y 3 + √√y integral [ 1 dy will become

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Q: Tom Brady throws a 12 yard out route to Antonio Brown. Even though the pass only gained 12 yards,…

A: Given: Antonio Brown receives a 12-yard pass from Tom Brady. Despite the fact that the pass only…

Q: Approximate the area under the curve y = x³ from with 4 subdivisions. 2 to 4 using a Right Endpoint…

A: Introduction: Apart from evaluating a definite integration by using the formula, we can also…

Q: Find the solution to if x(0) = 3 and y(0) = 4. x(t) = y(t) = = = y-x+t = help (formulas) help…

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Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t) = 12 - 6t, where…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 5. Show that for Chebyshev polynomials (Tn, Tm) = 0, n #m, π, EIN n=m= 0, n = m = 0.

A: We have to solve given problems;

Q: 1. Derive d'Alembert's formula u(x, t) = ½ (ƒ (x − ct) + f (x + ct)) + f + g(s)ds by determining the…

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Q: Problem 10. Prove that for any r ER, there exists a sequence of rational numbers that converges to…

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Q: ·bounded by x² + 2y = 4 and and determine: Sketch the area x+y+2=0

A: 1st we will find point of intersection of lines and curve to identify bounded region . Then will…

Q: Sketch r = 4 + 8 cos θ on the image below and find the area outside the inner loop of the curve…

A: Given: The polar function, r=4+8cosθ   To sketch: The given function curve on a polar plane. To…

Q: Find the average value fave of f(x) f(c) = fave. fave C = = = x5 between -1 and 1, then find a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: -f(x) = x cos x, -π < x < π Find the Fourier series for the following functions:

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Q: f(x, y, z) = g(√√x² + y² + z²) where 9 is some nonnegative function of one variable such that g(2) =…

A: Mass of curved lamina given by R(u,v) with density f(x,y,z) M=∫∫Sf(R(u,v)) ×Ru(u,v)×Rv(u,v)du dv

Q: t²x"" +2tx" + x' +2022x 0 for t> 0. If their Wronskian satisfies W(2) = 20, then find W(t) for all t…

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Q: Using the incremental operating costs, we will get the following two equations: 10+ 1610-³ P₁ 1-…

A: given two equations 10+16×10-3P11-3×10-4P1+2×10-5P2=16…

Q: Let S be the surfaced defined by the vector function R(u, v) =, u € [0,2], v € [−1,1]. a. Find an…

A: This is a question of vector calculus.

Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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Q: The population of ants in a colony grows at a rate proportional to the number of ants P present at…

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Q: Find the general solution to the following system of linear differential equations. The independent…

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Q: Set up an iterated triple integral equal to √√3 S√ SO 3-x² x²+y² 3 2- 4-x²-y² using: a. Cylindrical…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -1. b 0 A y =…

A: Given: The equation of curve is y=x2+b and b=5, a=4. To Find: The volume when the region A is…

Q: Verify that the pair x(t) = e 20t, y(t) = e 4t is a solution to the given system below. Sketch the…

A: Given xt=e20t,  yt=e4t   To Verify: xt=e20t,  yt=e4t is a solution to the given system below. Also…

Q: Q1) Use Euler method to find the values of y (1) and z (1) for the following system of ODES. Use…

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Q: Find and sketch the domain of flx,y) =√√₁-(x + ₁)² - y² + 2 in (x-y +1). 1-

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