The transfer function of an control system has step response of 1-e-10t is a) 10/s(s+10) b) 10/s c) 10/(s+10) d) 1/s(s+10) e) 1/s(s-10) f) 1/s(s-1) 8) None of the choices h) 1/(2s)

Q: What guess would you make for the particular solution to the linear, non-homogeneous dt2 dy 4- 3y dt…

A: Particular solution

Q: The following system of ODES are given. Identify all equilibrium points and analyze their stability…

A: The given system of ODE: R'=24R-2R2-3RS    -    equation 1 S'=15S-S2-3RS      -    equation 2 To…

Q: 4 3. Apply Euler-Maruyama method as one step to solve the SDE dy = 3/dt+dB₁ 5-1 y(1) = 2

A: Given that the SDE is dy=3-y5-tdt+dBty1=2

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A: Given the system of 1st  linear non-homogenous ODE, y1,y2,=-11-10y1y2+0.5sint0.5sint…

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Q: (b) Find orthogonal trajectory of x2 - y = K. (Orthogonal trajectories]

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Q: What is the equation of the orthogonal trajectories of 4x + 5y = C? (1) 4х + 5у %3D k (2) 4х — 5у…

A: Given : Equation 4x + 5y = C To find : Orthogonal trajectories for the given equation?

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Q: .The system x′=3(x+y−13x3−k),y′=−13(x+0.8y−0.7)x′=3(x+y−13x3−k),y′=−13(x+0.8y−0.7) is a special…

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Q: Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further…

A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We are entitled to solve one question at a time and up to 3 sub-parts only. Please post other…

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A: Given the estimated model for the variables x and y as I yi=β1+β2xi+ei II yi=β1+γ1ri+β2xi+γ1xi…

Q: Illustrate iterative formula of Euler’s method for systems?

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Q: dY 1. The system in Section 3.2 - Exercise 1 (previous page): dt Y dt -5 2. The system in Section…

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Q: Consider the system: yi = 3y, +y2 i. Showthat it is almost near (0,0). i. Find all critical points,…

A: First find the critical points of the system: Now. y1'=03y1+y2=0y2=-3y1→1 Further,…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

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Q: integrate dy/(sb - smy-bny-nmy^2

A: SOLUTION-

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A: Given: dVdt=-VV-aV-1-WdWdt=ωV-βω To find: Role of unstable fixed point in the system.

Q: 3. The rise time of the system response whose transfer function indicated as (C(s))/(R(s))=…

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Q: How many second partial derivatives does f(a,b,c, d) have?

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A: We need to solve this question in two parts before getting to the part you have asked. So, let's say…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

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Q: The function f (x, y, z) (3, 0, 0), (0, 2,0), (0,0, 6) and (1, , 2) What is the value of a? = xyz…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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Q: Test 1. y" - y - 2y = e by D- operator method 2. y" - 3y' +2y = ex + 6x3 - 2+ 3sin(4x)

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Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

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Q: 16.Consider the autonomous system dxdt=y,dydt=x+2x3.dxdt=y,dydt=x+2x3. a.Show that the critical…

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Q: How many second partial derivatives does ƒ (x, y, z, t) have?

A: We have to find the number of second partial derivatives.

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Q: 3- Find the orthogonal trajectories of a system. x²y² – 2xya + a = 0 %3D

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Q: So x, = c,e +c,e", and x, = 3c,e" +c,e" Sketch the trajectories in phase plane 2 -2 -2 Comment

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Q: The temperature T(x, y, z) is given by T(x,y,z) = 4x2 − y2+ 16z2. In which direction T increases…

A: We have to find the maximum rate and the the direction where T increase

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.