A/ Consider the following graph, find the Maximal Flow from source vertex s to sink vertex t. by using (Max-flow Min-Cut Theorem). 4 10 9. 10 10 CO 2. 10

Q: Calculate the maximum long-term harvest for a population satisfying the DTDS rNt Nt+1 - hNț. 1+ kN{…

A: Given Nt+1=rNt1+kNt-hNt              (1) Given r=1.5 and k=1

Q: • Suppose that the mass in a mass-spring-dashpot system with m = 25, c = 10, and k = 226 is set in…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Let f(r, y, z) = In(r2 + 2) + y?e* – cos(2yz). Find Szya- Find all the relative extrema and saddle…

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Q: Let y(t) denote the solution of the given initial value problem. Is it possible for the…

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Q: 1. Given U = (x + 2)(y+1) and P, = 4, Py = 6, and B = 130: (a) Write the Lagrangian function. (b)…

A: We need to find if answer in b give any comparative static information or not.

Q: Assume that after  months, butterflies’ populace  in 1000 is calculated as: f(w) = 12w + cos(16w) +…

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Q: Find the Green's function for with homogenous Dirichlet b conditions in the half cylindr < R, 0 < <…

A: The impulse response of an inhomogeneous linear differential operator defined on a domain with…

Q: Consider 6x (1+x²)² 2(x+y) (1+x²)² + 2y ý = Using the function V(x, y) = 12 + y² show that the…

A: What is Lyapunov Stability Theorem: Lyapunov stability theorem says that if a function is positive…

Q: Let (B; ) be a Brownian motion with Bo = 0. Define a process (Z,) by Z, = B{l/t for t > 0. What is…

A: Given information: It is given that Bt is a Brownian motion with B0 = 0.

Q: A clamped cubic spline S for a finction fis defined by a(x - 3) + (x-3)²+b(x – 3)³ - 2(x-4)-5(x -…

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

Q: Consider the following equations. 124 O Sketch the region bounded by the graphs of the equations. y…

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Q: Assume that after months, butterflies’ populace in 1000 is calculated as: f(w) = 12w + cos(16w)…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: #5. Find the max +min of = xy*yZ +zW+WX Subject to tre constrant aX*+y²+2²+w°=1.

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Q: Let A(x) = S f(t) dt, with f(x) as in figure. 1. 1. 0,5 -1 -2 A(x) has a local minimum on (0, 6) at…

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Q: Let a be a constant and f(x, y) = x³ – 3axy + y³. Determine that the following statements are "True"…

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Q: ice (A) and Bob (B) have an endowment of goods 1 and 2, with Alice's endowment being (wf, wg') =…

A: between two agents. All points on contract curve satisfy above condition.

Q: The faces x= 0, x= a of a finite slab are maintained at zero temperature. The initial distribution…

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Q: Consider the following feedback; And get their complexity. T(n) = T(Vn) + T (Vn²) + log n

A: Given problem is :

Q: Suppose that X and Y are independent rv's with moment generating functions M(t) and My(t),…

A: If X and Y are independent random variable and Z = X + Y then m.g.f of Z is equal to the product of…

Q: 1) Create a in solving ODE 3 of the for m: flow chart / road map y" + t p(a) y' (2) = 0 .

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Q: Is xo is an ordinary point of the ODE? If so expand p Find a minimum value for the radius of…

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Q: Suppose that the mass in a mass-spring-dashpot system with m = 25, c = 10, and k = 226 is set in…

A: Given Data: m=25  c=10k=226x(0)=20x'(0)=41   Formula: Position function x(t): m x"+c x'+k x=0

Q: 10. Write a flow proof. Given: OM bisects ZLMN. LM NM Prove: ΔΜΟΙL ΔΜΟΝ N

A: To prove - triangle MON is congruent to triangle MOL.

Q: tind 07 ard et by impu enfinm Hat the results obtaine those predicted by the for e Leerem for…

A: Given,    exycosyz-eyzsinxz+z=0

Q: Consider the Hamiltonian flow on R² associated to H(x, y) = }y² + x(x – 1)(x + 1). Show t (11 2 0)…

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Q: 2. Use the Divergence Theorem to compute ffs F. dS for F = (xy, yz, x² z + z² ) and S the boundary…

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk.…

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,…

Q: Fix each of the following statements regarding reversible processes. a) For a reversible process,…

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Q: in the Figure chown below, x i a cmls while y is decreasing at 3 cmls.Calculate z is changing X =…

A: Let's find.

Q: (a) It, for f: AC R + R, at Xo, Ak > 0 for k odd, or Ag < 0 for k even, then show that f cannot have…

A: Local minimum is also known as relative minimum. A function f has local minimum at a  particular…

Q: Given f(x)= x' – rx + k where r E r > 0 and r # 1, and k to be any constant. Prove tha if 0 1, fhas…

A: The given function: Where and k to be any constant. To prove that: If 0&lt;r&lt;1, f has a…

Q: Set R be the region defined by √2² +²³² ≤4 and let f(z,y) = 1²-22+ y². Find the global maximum and…

A: The region R given is: x2+y2≤4y≥x

Q: Consider the IVP x' = tan(x), x(0) = x0, xo E 2' 2 (a) Show that the IVP has a unique solution. (b)…

A: Solution for C: Given differential equation is x'=tanx, x(0)=x0, x0∈-π2,π2 The Solution of the…

Q: If V V30 everywhere then the resuiting flow is c O rotational O dynamic Osteady Pirrotational

A: The general form of a vector-valued function in three dimensions is given by F→=F1i^+F2j^+F3k^,…

Q: Assume a MA(1)-process given by Y; = c+& + 0ɛL-1; E n N(0, 0), t = 1, ...,T. Compute the…

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Q: Let a be a constant and f(x, y) = x – 3axy+ y3. Determine that the following statements are "True"…

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Q: Code up gradient descent algorithm to minimize the following functions: g(w) = - cos(27w"w) + wTw…

A: As per the question we have to minimise the following bivariate &amp; trivariate functions : g(w) =…

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

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Q: The faces x 0, x= a of a finite slab are maintained at zero temperature. The initial distribution of…

A: The temperature distribution of the slab is given by the solution of the initial boundary-value…

Q: Let {x; t = 1,2, ...} be a covariance stationary process and define y, = Cov(x, x+h) for h = 0.…

A: It is given that {xt: t = 1,2,…} is a covariate stationary process. It implies that, E(xt) and V(xt)…

Q: Let a be a constant and f(x, y) = x³ – 3axy + y. Determine that the following statements are "True"…

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Q: Given that u = *, Es, Ey and ɛ; denote the errors in x,y and z respectively such that x= y =z=1 and…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Find M M and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. x= y…

A: Firstly to know the limits of the integral we need to solve y2-y-42=0. By applying the direct…

Q: 1.4 Using the graph in Figure 1.7 below, find SLaf (t)dt and if the area of the shaded region is A,…

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Q: Let a be a constant and f(r, y) =r - 3ary + y. Determine that the following statements are "True" or…

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Q: What is the additional condition for a cubic-spline S(x) that passes through n data points (x1, Y1),…

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Q: If f(0)=f(2), find the sum 2c+d for the following cubic spline S(x) with clamped boundary…

A: The clamped boundary conditions in this case can be defined as follows.