Solving y' + 4y = 8(t) with y(0) = 0 %3D using Laplace transforms with a convolution necessitates finding inverse of the transfer function, L-' [G(s)] L-1 Y(s) Which of the following is g(t)? g(t). %3D А. Зе В. е191 C. 2e¬8t D. 2e¬38t E. e-4t

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О…

A: We have to multiply the given three complex numbers.

Q: Jo 8-7. Find the derivative of the functions: (a) h(x) = | In(t) dt g(x) = [" (c) dz 24 +1 3r (b)…

A: Solution: The objective is to find the derivative of the given function

Q: 8. The graph of y = g(x) is the image of the graph of y= f(x) after a stretch or compression, and a…

A: We have to describe the transformations on f(x) (points at (0, 0) and (4, 2)) to form g(x) (points…

Q: (D? - 3D + 2)у 3 2е* — Зе-2х

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: consider the ODE y'=2y/x, y(x0)=y0 does it have a solutioon for i. x0=0 and y0/=0…

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Q: 21. f(x, y) = x² - y²; P(-1, -3); 3 4 5 5 "

A: The directional derivative of f(x,y) in the direction of a unit vector u⇀ at a point P0 is…

Q: Find D and e^(tA) = P e^(tD) P^(-1).

A: Step 1:Find Eigenvalues and Eigenvectors: First, find the eigenvalues (λ) and eigenvectors (v) of…

Q: (x-Vx²-4` Below is the graph of y = In %3D e +1 i) Show that the equation of the inverse function is…

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Q: Sub Yに3yこ1 passes through the point (3, 1), where its gradient is ax +b 3 Ify = 1-2x find the value…

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Q: 4. y' +y = -x/y

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Put the differentlal equation [fzifeifo]ly> =1Ø> in stondert form Rirst, then convert it in to fi/2…

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Q: Determine whether the following are linear transformations or not. Justify. (1) L(x) = x + 2 where L…

A: The given maps are,(1)  where (2) where The objective is to determine whether the map is a linear…

Q: Which of the following functions V(y1, y2) is a Lyapunov function for the dynamical system yi = -2yı…

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Q: Find the differential equation defined by the transfer function : s+1 2s2+s+2 + 2c = + 2r +c = + 2r…

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Q: How do

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Q: Transform the differential equation 2y′′−y′+4y=e^(mt) y(0) = 2  y'(0)= 5 a )into an algebraic…

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Q: The slope field for the equation y'= - +y is shown below On a print out of this slope field, sketch…

A: Given: A differential equation y'=-x+y To find: Solution that passes through  i)0,0 ii) -3,1 iii) -1…

Q: dy 2²+1 Use the quotient rule to find the derivative of the function y = dx О А. dy 1 = 2x(x+ V) –…

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Q: Use the function, 4x + 8x – 60 =f (x) %3D - to match each key feature listed below. What is the…

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Q: 12 (а) уу" %3D Зу? yy = 3y (b) y" +y' = y'²

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Q: z=ye^(xy) - e^(xy) sin x +xy, find əzləx * O y^2 e^(xy)-e^(xy) cosx-y sinx e^(xy)+y y^2 e^(xy)-y…

A: Given z=yexy-exysinx+xy

Q: Show that the differential form in the integral is exact. Then evaluate the integral (1,2,3) Compute…

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Q: Solve the following Partial Differential equation shown in the image, according to the method of:…

A: Given,           ∂2u∂y2+2∂u∂y-3u=x2y+4xe2y

Q: Given the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the…

A: For the given function y= -4sin(3x-45)+2, we have to answer the following...

Q: (2) The graph of f(x) = is the transformation of the graph of y = -'x shifted (A) 2-units left and…

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Q: Point P(4,1) is a point on the graph y = log₁ x. Determine the point P on the transformed function…

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Q: Q3 By using the derivatives transformation find the transfer of the function a" (t) + æ(t) =…

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Q: Sketch the phase plane for x = x + 2y, y = 4|x| + Зу.

A: Here, we need to sketch the phase plane x˙=x+2y, y˙=4|x|+3y. Let us first find the critical points.…

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey