Evaluate the integrals using integration by parts. Q.1) x In x dx Q. 2) xP xg

Q: Find the transfer function X3(s)/F(s) of the following mechanical system. Note: X1(t) is the…

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Q: Q6 Given : 10 R= 0 + 10 (s +5) S+ 50 What is the steady state error? T = 0.172

A: In this question we need to find a steady state error of the given system.

Q: 4) F(s) =- Ans. f(t) = sinh(2t)-2t s-4s? 1 5) F(s) = Ans. f)=(e"-1-21 - 21)/8 s-2s' 1 s+1 6) F(s) =…

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Q: What is the total response if the given free response ya(t) and forced response yb(t) are shown in…

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Q: Write the difference equation of the following discrete-time system. Explain your reaso x(n) y(n)

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Q: Find the steady-state charge qo(t) and the steady-state current i(t) in an LRC-series circuit when L…

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Q: For the signal x(t) depicted below 1.2 1 0.8 0.4 0.2 0 -3 -1 0 1 t 2 3 4 5 6 a) Sketch the signal…

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Q: Regarding the continuous-time signal x (t) given below, a) Write this signal in terms of unit step…

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Q: Solve the linear difference equation y(k + 1) – 2y(k) = 2 × 8(k) with the initial condition y(0) =…

A: To find out solution of given difference equation we will take z transform on both side then we will…

Q: An accelerometer is used to detect ultra low level, low frequency vibrations (100 Hz) associated…

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Q: Consider the following two signals of finite length, compute the convolution and correlation of the…

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Q: For the RLC series circuit with applied voltage v(t), which of the following best describes why v(t)…

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Q: 3. Consider the following signal x(t) and answer the questions given below. x(t) = u(t) + 2u(t - 3)…

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Q: (c) L 8(t)e¬jwt di (d) o 8(1 – 2) sin t dt (h) ele-1) cos (x – 5)8(2x – 3) dx (g) 8(2 – 1)8(3 – 1)…

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Q: An autonomous robot to pick asparagus capable of following planting rows has an orientation system…

A: Using Matlab,

Q: a) Find the steady-state response of the system below if the input is x(t) = sin(2n169t)u(t) + sén…

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Q: The steady-state response of the system with transfer function H(s) = x(t) = 10 cos (40t +) + 5 cos…

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Q: 2.3-6 Evaluate the following integrals: 1p(1 – 1)8(1)8 S (B) (b) S 8(t)g(1 – t)dt (c) 8(1)e¬ja dt…

A: Given:   Note: Here student want to know the answer  only for question h ,hence we have solved only…

Q: please answer a and b with steps pls

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Q: Fit a function V = V,e RC into the given data, where R=2000. What is the value of V, and C? t (s) 1…

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Q: For the circuit shown, the switch closes at t= 0,the value of v.(t) at t=1si 0.50 4.50 Vs - 15 V…

A: Here, in the given circuit  Before the t=0 circuit is in steady-state so, the inductor acts as a…

Q: please answer e and f with steps pls

A: In this question,  Solve the e and f part using the Delta signal  property.

Q: Problem:  1. Find {y(dt)} 2. What kind of circuits should be used to convert the analog signal…

A: We need to convert the signal described by y(t)=10sin(2πt) V into a discrete set of eight numbers…

Q: The energy of the signal s (t) = [100,300] (t) is

A: Given Signal: .To determine:The energy of the signal s(t).

Q: Vs t) 9 sin t ニ O V2 (t) = ? i, (t) = ? O P. 14) = ? O i,t) = ? O P. (4) = ?

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Q: This is a practice question from the Signal and Systems course of my Electrical Engineering Program.…

A: The input x(t) for the given LTI system has been calculated . A detail explanation has been provided…

Q: Find the following signals' auto correlation 1) f(t)=10cos2t 2) g(t)=5eyn/i3+)

A: As per Bartleby guideline we need to answer the first question only. Kindly repost the rest…

Q: Explain (in your own words) if the following signal is Time invariant or Not? Justify your answer…

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Q: Determine the solution of the differential equation: X + y dx dy AP

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Q: X + R For the RL circuit, find the mathematical model (input-output relationship) if the output is…

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Q: Find the F.T of f(t) = cos(w,t)

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Q: c) The continuous time signal: x(t) = cos(2n. t) + sin(2n. t) is correctly sampled at fs = 2Hz. The…

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Q: = 4. (a) Find the transient and steady state response of the system y (n) the complex exponential…

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Q: 1. Consider the following signal x(t). x(t) -4 -3 -2 -1 2 3 4 t Generate and plot the following…

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Q: S (8(t + 3) – 26 (4t)) dt -1 Find the numerical value of the integral. The numerical value of the…

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Q: 1.55. Evaluate the following integrals: (c) (cos t)u(t-1)8) dt (d)

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Q: Sketch the continuous-time signal below and specify if the signal is: a) Causal/ Non causal/…

A: Causal System: It refers to a system where the output at any given time (t0) depends only on the…

Q: 1.9 A signal x(1) is defined as x(t) = r (t + 1) – r(t) – 2u(t) +u(t – 1). (a) Plot x(1) and…

A: It is given that: xt=rt+1-rt-2ut+ut-1

Q: Find the numerical value of each integral.

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Q: It should contain your answers, graphics, and MATLAB codes in a clear sequence order. Q1. Q1.…

A: clc;clear all;close all;syms y(t)ode = diff(y)+2*y == 2*sin(t);cond = y(0) == 0;ySol(t) =…

Q: Express r(t) = 5 + 3 sin( t + ) as a linear combination of complex exponentials. O a. 5 + 2 (2rted o…

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Q: 2.11 (The Sifting Property) Evaluate the following integrals. (a) (4 - t°)5(t+3) dt (b) (4- t)5(t +…

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Q: H.W1: Draw the system which is expressed in the above difference equation. H.W.2 Convert the…

A: Transfer function is the ratio of output to input with zero initial conditions  A delay in input is…

Q: Sketch the continuous-time signal below and specify if the signal is: a. Causal/ non-causal/ anti…

A: Given: ft=1t<-1-t-1<t<1-1t>1

Q: SORU 1: Aşağıda verilen sürekli-zamanlı x(t) sinyaliyle ilgili olarak, 0.5 a) Bu sinyali birim…

A: Explanation: a) The representation of the above signal in terms of unit step function is x(t) =…

Q: 2. Find the fundamental periods of the following signals from their graphs. . x1 (t) = sin(t). b) a)…

A: Fundamental time period:- the fundamental period is the Least Common Multiple (LCM) of all…

Q: (96 volts), a resistor ( 46 ohms), a capacitor (36 farads), and a The capacitor is initially…

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Gradient of a Scalar Field

Consider a room or a place where the temperature is denoted by a scalar field T, such that at each point (x, y, z), the temperature is given as T(x, y, z). It is independent of time, in which the temperature rises most quickly. The gradient of T will show the direction at that point by moving away from (x, y, z). How far will the rise in temperature in that direction be determined by the gradient magnitude? Consider a surface that has a height above sea level at point (x, y) which is given by H(x, y). At that point, pointing in the direction of the steepest slope or grade is the gradient of H. The magnitude of the gradient of the vector gives the steepness of the slope at that point. How a scalar field changes in another direction can be measured by the gradient by taking a dot product rather than just the direction of the greatest change?