Decompose v into its vertical and horizontal components.

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Q: Sketch the slope field for y’ + y = 2 at the 25 gridpoints (x, y), where x = 0, 1, ... ,4 and y = 0,…

A: The given differential equation is y'+y=2. Sketch the slope field for the above equation as shown…

Q: S The flux is

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Q: Represent the plane curve by a vector-valued function. x² = y² = 4 %3D

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Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.

A: Please refer to the image below

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Q: Find a vector function that represents the cur ve of intersection of the paraboloid z a + mnd the…

A: Given that, the paraboloid is z=x2+y2 and the cylinder is x2+y2=22. The projection of the of the…

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Q: he outward flux c

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Q: Calculate the tensor product of la) and b) %3D

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Q: 3. Find a vector function that represents the curve of intersection of the paraboloid z =. and the…

A: To find the vector function that represents the curve of intersection of the paraboloid z=x2+y2, and…

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Q: Find a vector function that represents the curve of intersection of two surfaces: z = x² - y? and x²…

A: Idea  1) Solve the equation in term of only one variable (2) assume in term of parametric function…

Q: The line of action of the 4800-lb force F runs throu the points A and B as shown in the figure.…

A: The scalar component a→ along with b→ will be:                     Compb→a→=a→.b→b→…

Q: use two and three Points of Gaussian Guadrature xp = 1 %3D

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Q: 1 u (-y°i +x rmal vector to

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Q: 2 w2 In(w) dw

A: To evaluate the integral ∫12w2lnwdw

Q: 1. Find the unit normal vector to the surface z = Vx2 + y? at the point (3, 4, 5).

A: A detailed solution is given below

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A: Given: H=-2aρ+3aϕ-4az p=1,90,2

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Q: Integrate the function f(r,y, z) = Over the entire 3D coordinate system, i.e., all of R'.

A: We have to integrate the function fx, y, z=1x2+y2+z21+x2+y2+z2 over the entire 3D coordinate system,…

Q: nto v. t of u orthogonal to v.

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Q: linear association.

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: (ii) Use the rescalings s = S/N, i = I/N, t = BN1, c = µ/(BN) and d = y/(BN) to non-dimensionalise…

A: differential equation representing disease with classes S , I , R dSdt=-βSI+γRdIdt=βSI-μIdRdt=μI-γR…

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A: It is given that, ∇f=<1,3,1>   It is known that a vector ai^+bj^+ck^ can also be represented…

Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x2 + y2 = = 81…

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Q: Find the Jacobian for a cylindrical system.

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Q: Calculate div(F) and curl(F).  F =〈x^2, y^2, z^2〉

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A: To define and calculate the velocity, speed, direction of motion, and acceleration of a body moving…

Q: Represent the plane curve by a vector-valued function. x2 + y2 = 25

A: It is given that, x2 + y2 = 25. Let x=5cost and y=sint , Then 5cost2+5sint2=25cos2t+sin2t=25

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Q: Solve X' Uxx - Y Uyy = 0 x,y>0 also find its canonical form

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Q: Find the potential function for the vector (a+1,b+1,b–1) 2.3_3 2.xy'z* dx + 3x*y°z* dy +4x²y°z° dz…

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Q: mu = Bu+c as above, where I onvergent. dinate matrix norm || ||.

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Q: Let f (x,y,z) = xye² + yze*. From point (1,0,1), which unit vector points in the direction in which…

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Q: - 25y,0,) 10- through the surface Find the outward flux of F =1.

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Q: Find a vector function that represents the curve of intersection of the paraboloid z = x^2 + y^2 and…

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Q: (b) Identify the unit vector u pointing in the direction of maximum increase of the function f(x, y)…

A: Find your answer below

Q: у' 3D усotx +у?cscx

A: Given that      y' = y cot x + y2 csc x  Here we have to find the Integrating Factor.

Q: Exercise : Find dy O y = 10x+3 Cosx O y =cscx -4VX+7 Cotx 3y =- (3) I+ Cotx

A: To differentiate the following: 1) y=10x + 3 cos x 2) y= cosec x -4x +7 3) y=cot x1+ cot x

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