For stel response of under damped system {

Q: Determine what functions of time will appear in y(t). Which y(t) are oscillatory? Which have a…

A: The Laplace equation to be considered is given as: For this given function, its denominator is…

Q: 3. Compute the the partial derivatives and for the following functions: a) f(r. y) = (r+ a)*y!/2 13r…

A: In calculus, the derivative of a function of several variables with respect to change is just one of…

Q: 1. Determine the Laplace transform of f(t)=cos?(3 а. 2s2+72 3s b. 2s2+72 1 C. 2s 2s2+72 2s + s2+72…

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Q: An_ -- experiment. is a possible result of the А. outcome B. Event equal 1 C. not above D. Result…

A: Here the words like outcome, event equal and result all are used in probability.

Q: molar balance for each atomic species present.

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Q: Q4/B) Draw the root locus for the following system: G(s). H(s) k s(s+1)(s² + 4s +8)

A: Root Locus:-1. Axes: The horizontal axis represents the real part (σ) of the complex plane, while…

Q: Which of the following equations is correct? A. PV = F+ G B. F-G = PV C. F = G- PV D. G+ F = 2TS

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Q: Place the following in order of increasing radius. I-        Al3+        Na+ a) Al3+ < Na+ < I- b)…

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Q: Sketch the (0 1 1 1) planes in an HCP unit cell.

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Q: The y intersection of the flash operating line is: xfl-q+1 I. xf/q+1 OI. -xf'1-q O I.

A: Flash distillation  It is one of the simplest separation processes where ina pressurized feed stream…

Q: I need to think of H as a function of T, V, n, and write total differential for H and find the…

A: Enthalpy is a thermodynamic property depicted as H H = U + PV -------------(1) Where U - internal…

Q: Radioactive decay: N₁+1== N(+₂) ====²(+=+₂) (a) The half-life, t₂, of a radionuclide in a is defined…

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Q: From these choices: pressure, temperature, DENSITY and heat, density is not an intensive property.

A: Given information: Examples of intensive properties.

Q: If a F (2) = xy +i (x2 – y?), what is F (-1+2i)? -2 + 3i O -2- 3i O 2- 3i O 2 + 3i

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Q: for Stef response of overdamped system {>L drive the equation y₁ss= = ²3² +2{TS + 1 to get this…

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Q: B.C 1 at z=0, P=Po B.C 2 at z=L, P=0 B.C 3 at r=R. v,=0 B.C 4 at z=0, v, -infinte

A: All the marked ones are zero. steady state , horizontally 1-D flow in pipe. ∂uz∂t=0 for steady…

Q: H.W: Find the Fourier series for the following periodic functions 11 8) f(t) = sint, 0<t <n,

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Q: 12. Define def e-*dWs• s=0 For each t > 0, compute (a) E[M²]. (b) E[M²] W is a Brownian motion

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Q: Evaluate the following: 1. L^(-1) {s-20/s^2-9) 2. L^(-1) {1/s^2+6s+25}

A: 1. L-1(s-20s2-9)=L-1As+3+Bs-3 solving for A &amp; B, we get A=236, B=-176 We get…

Q: Consider the problem: Minimize f = 2(x – x})² + (1 – x1)² If a base simplex is defined by the…

A: Here the given function is :-  f = 2 ( x2 - x12)2 + (1 - x1)2  here we will find out 4-5 simplex and…

Q: Express (@H/ƏP)T.N.. N as a function of G and its derivatives and show how these may be given in…

A: In thermodynamics, there are set of equations in thermodynamics called Maxwell relations. These are…

Q: 3.17 Use Laplace transforms to find the şolution to the follow- ing set of equations dy +y2 = x dt…

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Q: 3- As shown in Figure 2, Carnot Heat Engine (HE) working between temperatures T1= 150 °C and T2=4…

A: Write the equation for efficiency for Carnot heat engine as follows: η = WQ11-T2T1 = WQ1     ......1…

Q: Diesel index is defined ? as O (API) x (100)/Aniline Point, °F O (API) x (100)/Aniline Point, °C O…

A: It is required to define the Diesel Index.

Q: d.) For balances on systems containing (2) components, the total number of equations that can be…

A: The number of equations that can be written for a system are component balances and overall material…

Q: Find the inverse of  (s) = s +3 S²-6s+18 2

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Q: fundamental property

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Q: For an isothermal reversible expansion Oa 4U=0 Ob AU=w Oc #=0

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Q: Suppose that S is regarded as a function of T and p, show that Tas- C,dT- T(@Pi@T), dV.

A: Given, S is a function of T and P. dS=(∂S∂P)TdP+(∂S∂T)PdT multiplying both side of equation by T, we…

Q: P (kPa) Isotherm 170 IV (m³) 410 80 The net work in kJ of the three-process cycle as shown above is

A: Process 1-2, In 1-2 Process, Volume is Constant so it is the Isochoric Process,  Work done 1-2…

Q: At what temperature does water boil if P = 0.6 bar Select one: O a. 85.94 C O b. 69.9 C O c. 45.81 C…

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Q: Find Cau/ap CP-V-T). Show

A: We know that U=H-PV                        1by partially differentiateing this equation with respect…

Q: a Use the rules for logarithms and exponents to solve for [H*] in terms of pH. [H*] = |10PH b If pH…

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Q: Determine: (i) The maximum gain for stable operation. (ii) The corresponding frequency of…

A: Consider the block diagram of the given transfer function.

Q: Answer it correctly

A: for refrigerator, some times output is heat removed from the low temperature system which is less…

Q: Find Cau/ap), in terms of measurable CP-V-T)- Show the mathematical derivation.

A: Ideal gas equation, PV= RT

Q: Choose a pair of state functions below: O q and U O w and H O q and w OU and H

A: A state function is a property that describes a particular state, without depending on the path…

Q: 1) Complete the table given below for a closed system undergoing a cycle. P Process Qnet kJ Wnet kJ…

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Q: y = sin r and y = cos r for 0 < r <

A: for the calculation of Area bounded by the curve, we use the integration method. the given curves…