1- -Н(y)-Н(yх) Prove that 2- H(x,y) = H(y) + H(x\y) 3- H(x,y) = H(x) + H(y}x) 4- Н(х., у) %3DН(х) + Н(у) I 5- Н(х,у) -1 + Н (у)х) + Н(х\у

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y'= eV1--, y(0) = 0…

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Q: A company has $300,000 to spend on two products. Suppose that the Utility derived by the company…

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Q: Determine the coefficients a, b, c, and d so that the curve will satisfy the stipulated condition.…

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Q: у +3у-еX denkleminin genel ҫozйтйпй bulunuz. a. y = e^(-3x)/6 + ce^(-3x) O b. y = e^(3x)/6 +…

A: The given differential equation is                                                      y'+3y=e3x…

Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: A researcher wants to analyze the effect of a variable x on another variable y using observations…

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

Q:  0, y  0, x  20, y  20 , its faces are insulated. The temperature along the edge y  20

A: Given, a square plate is bounded by lines x=0, y=0, x=20, y=20;

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: (a) x = t* - t + 1, y = t2 Select--- v (b) x = 2 - 2t, y = VE --Select--- v (c) x = sin(2t), y =…

A: Match the graph with their parametric equations.

Q: In Exercises 33-36, determine the direction in which f has maximum rateof increase from P, and give…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub- parts…

Q: Vs (2xy, xz-y' xyZ) . 2 V=lcy%cz, 2 cxY, -2cx2), s- V- (-2 , , x-14-2 2), where 2Y-32-24 X-34-27),…

A: 1.  V=(2x2y,xz2-y3,xyz)       u=2x2y, v=xz2-y3, w=xyz equation of continuity is…

Q: azz 2. A. If z = sin(3x+2y) , verify that 2 - 3 a2z = -6z ay2 B. If f = x³y³ + 2xcosy + y² lnx then…

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Q: 3 19- Change the order of the integration of S f(1,y)drdy. ŏ y-3 0 -3+z a) S S f(x,y)dydx + § S…

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Q: Using the stability criterion by means of bilinear transform (Tustin), find if the system is it…

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Q: hat polynomial x^2 + y^2 + y^2 − xy − yz − zx is irred

A: Given: x2+y2+z2-xy-yz-zx To prove that the given polynomial is irreducible in R [x, y]

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δt =0.006t2. At time…

A: According to the given information, it is required to determine the value of m.

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: A multiunit mixing process consists of two tanks T1 and T2. Ten (10) gal/min of pure water is pumped…

A: The system can be shown as the following compartment model: The result to be used is  Rate of…

Q: 3) Evaluate elz+y)/(z-y) dA where Ris the quadrilateral with vertices (0,1), (0,-2), (1,0), and…

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Q: 1) F(x, y, 2) = 3xyi + 2yz j+ 7xz k. 3) F(x, y, z) = 6 e" senyi + 2e* cos yj + 9z k. 5) F(x, y, z) =…

A: We will find out the required value .

Q: ax² + bx+c, g(x) = -ax² + bx+c, where ac # 0, th hat f(x) g(x)=0 has at least two rool roots

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Q: 6. If V(x, y) = xsin x cos y + y² then, F-VV and it is equal to A. -ily sinx cos y sinx cos y]…

A: We can solve using divergence formula

Q: 6. Consider the ODE system below f = y? - ,2 = y +?. Which of the following is true? a. Solvable by…

A: Here we have given two differential equations. For a system of ODEs, we can use the elimination…

Q: At what point on the curve xy=x*+5x is its tangent lines .. a.) parallel to the line 12x-y=…

A: The equation of the given curve is xy=x4+5x By dividing both sides by x, we get y=x3+5 To find the…

Q: 2.2 11, IfF = xyz\+x*y°z}+ xyz k then find div F at (2, 1, – 3).

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Q: 3. Determine a general solution to the Cauchy-Euler equation y (2) - 2y(z) = 3r-1, z>0. %3D

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Q: To examine the stability of a control system, the poles of the system (roots of the denominator of…

A: “Since you have asked multiple questions, we will solve the first part for you. If you want any…

Q: sin(xz – 1) In(6+ 3xz + 4yz) = 0 determines z as function of x and y in a neighbourhood of the point…

A: Claim: at (x,y)=(1,1) for the equation  Take partial derivative with respect to x Substitute…

Q: s lineax diggerential Solve nonhomogene ous equation using propesty of diggerential operator I…

A: Auxiliary equation of given ODE is  m3-2m-1=0m2-m-1m+1=0 So we have Complementary solution is…

Q: 3- Let µr1 = 2 in region 1, defined by 2x+3y-4z > 1, while µ2 = 5 in region 2 where %3D 2x+3y-4z <…

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Q: 1. The loop of y² = x * (4 - x) 2. у %3D 6х — х?, y = x² – 2x - 3. у %3D 2х y2 + 4x – 8 = 0 - 4. An…

A: Question 4 : Arch of y = (1/3)sin(x/3) First find out intersection points :  y = 0 (1/3)sin(x/3) = 0…

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w&gt;0,A&gt;1 Also, Ak=Aw-x*

Q: 10. Integral 2-t dt

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: From the given information the given curves from which the volume is to be generated are:

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player…

A: The share of total production consumed by the player is xx+n1y. x: Player i's level of conflict. y:…

Q: The line tangent to a curve at a point (x1, y1) is y = 2x – 2. The normal to that curve at the same…

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Q: 0. Use the Power Rule of integration to simplify (13 - 213) dt = [ev3 dt - L213 d. t1/3 dt t2/3 dt.…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' eV1 guaranteed by…

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Q: A linear function ƒ (x, y) = ax + by + c has no critical points. Therefore, the global minimum and…

A: For the solution follow the next step.

Q: 9. The total cost and total avenue, in dollars, from producing x couches are given by C(x) = 1000(x²…

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Q: Solve the DEQ given the initial condition (4,-2). Graph it on the slope field. 10 9 1 8- Let…

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Q: Consider i = (1,0,0), j= (0, 1, 0), k = (0,0, 1) and, f (x, y) = (x, ²y°, sin x, cos y, xyean +3…

A: We have to make the appropriate selection  With the help of following transformation-

Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: The number of defects on the front side (X) of a wooden panel and the number of defectsa on the rear…

A: Solution: From the given information, the probability mass function of X and Y is

Q: The equations re + uz – cos(v) - 2 = 0 and u cos(y) + 2x²v – 7yz2 –1= 0 can be solved for (u,v) as…

A: Given equations are                    xey+uz-cosv-2=0 ⋯⋯⋯⋯⋯ (1) and                 u…

Q: f(x) = 2x5 + 15x4 - 3x3-4x2+ 7x+ 14 1)Trapeaoidal rule 2) Trape20idal rule with n=2 3) 1/3 Simpson…

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Q: 4y" – y = 0, У-2) %3D 1, у(-2) %3D -1

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Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: The equations æy? + 2xzcos(u) + ye" = 4 and x³yz + xe" – 8u²v² = 24 are solved for u and v as…

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