Find the steady-state, solution of the system in Fig. 70 when m = 4, c = 4, k = 17 and the driving force is  202 cos 3t.

Q: 2. Let f: (0,-1→ R be a function defined by f (x) = x¯* for every x E (0,-1. Sketch its function…

A: This is a problem of the application of differential calculus.

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Q: -3 3 @ O s} matrir, A= 3 -5 : Find A75 3 -6 4 @ Find the solution of the linean diffenential…

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Q: [CLO-3] A Glide Reflection is a proper rigid mo OTrue O False

A: A rigid motion is the motion in which  all the points in the plane move in such a way that the…

Q: Consider the function R(x) = {3x | 0 s xs 1/3 2 - 3x | 1/3 s xs 2/3 3x – 2|2/3 s xs1} (a) Sketch a…

A: This is a problem of real-valued function and fixed-point and period of a function.

Q: Exhibit a commutative ring R and an element x E R such that Z CR and x is NOT prime but irreducible…

A: Take R = Z[i√5]  Clearly, R is commutative ring and Z ⊆ R  Also, 2,3 ∈ R are not prime but…

Q: Let {B,} C R be a sequence and x E [0,1]. Prove that if |B,,41 – B„| 1 'n+: then {B,} is Cauchy and…

A: We give the detailed solution below correcting a slight typo in the problem.

Q: Given: surface S:y = e 1. Graph S in the three-dimensional space.

A: We have to draw graph of y=ez

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Q: (27) Consider the piecewise function f : [-L, L] –→ R given by Ja + L, if – L <x < 0 f(x) : x*, if 0…

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Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

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Q: What is the connection between the concept of the limit of a sequence and the limit of the function?

A: Solution

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Q: y' – 3y = e3t, y(0) = 1

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Q: Solve the given ODE using Laplace Transform y"(t) – 6y'(t) – 2y(t) = 4 cos 2t - 4t³; y(0) = –2,y'(0)…

A: First we will take the laplace transform of both sides then we will use the initial condition and…

Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: 2. Given the reduced row echelon form of a system of linear equations is given. Write the system of…

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Q: 13. The area bounded by the hy perbola Xo-y? -q², the x-axis , x : 2a revoly es about Ox 2 and…

A: There needs some restriction on a, Also the region may be either first quadrant or fourth quadrant.

Q: (e) None of these

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Q: Find the inverse laplace of S F (s) = (s² + a²) (s² + b²) consider a + b², ab # 0 iswer cos at – cos…

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Q: Find the derivative of the function at Po in the direction of A g(x, y) = x - (y/x) + V3 sec (2ry),…

A: Let us consider the given function z=f(x,y) The directional derivative of the function at Point P in…

Q: Use Evolutionary Solver to solve this non-linear program. Max 2x2 + 0.4y3 − 2z4 s.t. 5 ≤ x ≤ 19 5 ≤…

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Q: Inverse Laplace transform for e 2s is ... (s+3)2

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Q: D -J= \-3メー 2, Sinx

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Q: boun ded by the hy Perbola x° -y?=q², the x-axis, Fi nd the volume of 13. the area and the .line x…

A: Volume of a solid  revolution about x-axis  V=∫x=abπy2dx

Q: Given that m is a positive integer and {D„} be the sequence with D = m and (Dn-1 + Dn-1 m D, = ,n >…

A:

Q: This question asks you to find an integral using Riemann sums. Recall from lectures, that a definite…

A: The given integral is ∫01x2dx. (a). Let the interval 0,1 is divided into n equal subinterval.…

Q: Evaluate determinant D by:

A: Here we have to solve the determinant of given matrix using Chios method.

Q: Determine the solution of the simultaneous system of nonlinear equation with initial guesses of…

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

Q: Question 3. Plot the voltage as a function of time and use Newton's divided difference method to…

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Q: Consider the surface x2 + y2 − 2xy − x + 4y − z2 + 4 = 0 at the point Po (2, −2, 5). Determine the…

A: This is a multi-variable calculus.

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x…

A: Introduction: A continuous function in mathematics is one in which a continuous variation (that is,…

Q: Find the required limit or indicate that it does not exist. 1. lim3(2(t – 3)²i – 7t°j) 2. lim→1(i -…

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the moment of R with respect to the…

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Q: HW. Solve the fallowihg firist order OsE

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Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: (CLO-1] An election involving 6 candidates and 40 voters is held, and the results of the election…

A: We know, a candidate will receive the minimum points by being ranked last on each ballot.

Q: Find the arc length of the graph of r(t) = ev2ti + ev2rg + 2tk, 0<t<V2 In 3 %3D NOTE: Enter the…

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Q: x- (8 + 8iV3) = 0

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Q: In a shooting game, two players shoot at a target at the same time. Suppose person A hits the target…

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Q: . THe area enclased by the loop of the curved y= x (x - 3)° is Find the volume generated . revolved…

A: Here 1st we will find points where loop is formed and then shade the region bounded ,  To form the…

Q: Let Degree sequence of a graph G is 5, 2, 2, 2, 2, 1. - Is S graphic? - How many edges does Graph G…

A: This is a problem of Graph Theory.

Q: FRecall that the radius of convergence R of a power series with coefficients a, is found by first…

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Q: 1. Find f(x, y) obeying = - sin(x)y and f(0, y) = }(y +2)². %3D %3D

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

Q: Using a specific method, your calculated density of aluminum is d1 = 2.74 g/cm3. Using a different…

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Q: dx? + (m – 1)(ax³ +b+ cy) = 0 dt2 How do you split this into 2 first order derivatives? Also what is…

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Q: Solve the following Cauchy-Euler differential equation: x'y-3xy 3 In(x)-4, x>0 1. Possible answers…

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Q: c) A week of performance data for another production line is given in Table Q6b. Assess and analyse…

A: We will use the basic knowledge of potential rates and performance analysis to answer this question…

Q: Determine the real roots of f(x) = x – 4x – 9 (a) Solve graphically using excel (b) Solve by hand…

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Q: ow that the polynomial x° + x³ +1 is irreducible over the field of rationals Q.

A: