Find the flux of the vector field F = (y, — z, x) across the part of the plane z = 3 + 2x + 4y above the rectangle [0, 2] × [0, 3] with upwards orientation.

Q: y = cos x, y = 1- cos z, 0<x<T

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Q: A number n is divisible by 12 if it satisfies ∃k ∈Z(n = 12k) Give a direct proof that, if n is…

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Q: Solve the system 30 - [33]4 7' = Solution: with 2(0) = [1] 2(1) - [16] + [16] " ² te³t

A: x→'=3043x→x→0=-41

Q: .Draw the graph of a function defined on [0,8] such that f(0) = f(8) = 3 and the unction does not…

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Q: Use graphical methods to solve the following linear programming problem. Maximize: z=3x+y subject…

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Q: Find all natural numbers n such that mod (2", 7) = 4. Use your result to complete the following…

A: (a) We need to find the all natural numbers n such that mod2n,7=4. Observe that 23=8=1mod7. Now…

Q: If x; is a leading variable of a homogeneous SLE then x can be expressed solely in terms of the free…

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Q: Is this graph regular? 1 O Yes No 3 2 4 5 6

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Q: You want to buy a $180,000 home. You plan to pay 15% as a down payment, and take out a 30-year loan…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: 1. If y3x1 = b and A is a 3 x 3 matrix of number such that: y'Ay (2a - b)² + (3a − c)² + (3b - 2c)²…

A: y'Ay=2a-b2+3a-c2+3b-2c2

Q: 11 A class with 24 kids lines up for recess. The order in which the kids line up is random with each…

A: Given, A class with 24 kids lines up for recess. Out of 24 there are 2 kids in the class, Finn and…

Q: Either give examples of functions with the properties below, or explain why they don't exist. (a) An…

A: (a) There is no injection from [0, 1] to Z.  Because there are uncountably many elements in [0, 1] ,…

Q: Given a surface whose equation is given by = 2²/7/2 Describe the given surface in words. a) b) I'm…

A: The given equation is ϕ=2π3. We have to describe the surface in words and convert the equation into…

Q: Find the time required for an investment of 5000 dollars to grow to 8600 dollars at an interest rate…

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Q: 11. If an+2 = 5an+1 - 6an and ao 58,025 59,125 58,425 59,700 0, a₁ = 1, then a10

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Q: Consider the following parametric equation x=1-sin^2(t)   y=cos(t)   pi<t<2pi 1. Elimate the…

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Q: Give an example of a subset of R which is not path Problem 8 connected. (For full credit, I want you…

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Q: Why does the dy bound change from 0 to 2 to 0 to 6 halfway through the last page?

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Q: Give an example of two subsets of R2 that are homotopy equivalent but not homeomorphic. (In this…

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Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

A: Given : The function vt = -5t4 + 50t3 -163t2 + 190t   To solve :  The subparts given in the…

Q: 9. Label these polar equations. 5m/6 Zm/o r = ng 11m6 2013 05 41/3 r = 0.5 0.5 m/2 m/s 05 Slys sind…

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Q: Heat conduction in a thin circular ring is described by the following PDE U₁=Uzz for t≥ 0. with…

A: Given : Heat conduction in a thin circular ring is described by : ut = uxx , for t ≥ 0 ,  with…

Q: What is the power set P(S) for S = {Ø, {Ø}, {Ø, {Ø}}}?

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Q: T Given the integral [cos 2x dx+4y³ dy, where C is described by F(1) = C b-- t a--A -) If the…

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Q: Linear Algebra. Find an equation of the line that passes through the point (5,-2,4,3) and in the…

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Q: Let A be a 3 x 6 matrix that is row-equivalent to a matrix of the form [I|B], where I is the 3 x 3…

A: We have to find X is invertible or not

Q: The number 42 has the prime factorization 2- 3-7. Thus, 42 can be written in four ways as a product…

A: Factorise  910 inti prine factors and the find the required pairs.

Q: How many edges does a full 3-ary tree with 6000 internal vertices have?

A: The total number of edges is 18001

Q: Suppose that g: [a, b] R is a continuous function. Show that there exists a point c € (a, b) so that…

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Q: Find a general solution to the system. 122 -6-9e-t x' (t) = 2 1 2 x(t) +-6-10e-t 221 -3-11e-t

A: Given : system of non-homogeneous differential equations    x't=122212221xt+-6-9e-t-6-10e-t-3-11e-t…

Q: 8. s.) Complete the Implicit Function Theorem for F: R4 R² where F(x) = (F1(x), F2(x)) and x = =…

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Q: Given that cos = 17,0 <0<, use the double angle identities to find the exact value of the following…

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Q: A surveyor determines that the angle of elevation to the top of a building from a point on the…

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Q: [4] (a) Find all a so that 1 −1 +-(0) A = 1 2 1 -1 1 4 is positive definite (note it is already…

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Q: Find the gcd using Euclidean Algorithm 30031 and 2311

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Q: The equation of a curve referred to a given system of axes is 3x² + 2xy + 3y² = 10. Find its…

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Q: Determine the extreme values (minimum and maximum values) of f(x,y ) = 3xy subject to the constraint…

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Q: Find the gcd using Euclidean Algorithm 30031 and 2311

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Q: Perform the​ addition, if possible.   8 −5 1 0 + −9 5 4 −3     Is the addition​ possible?     Yes…

A: A=8-51  0 AND  B=[-9  54-3] AS BOTH OF THE MATRIX ARE OF SAME ORDER 2×2 SO,ADDITION IS POSSIBLE…

Q: question)33 The demand curve for a certain product is given by p(g) = 540-q^2. The supply curve is…

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Q: Evaluate the following postfix expression: 53-2146 2/+*

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Q: 3. Let P₁(C) be a vector space over R with all complex polynomials of degree less than or equal to…

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Q: Suppose there are four stationary point charges in space, each with a charge of 0.0067 C. The…

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Q: For n N, let fn [0, 0)→ R be defined by fn(x) = (a) Prove that (fn) converges pointwise on [0, 0o)…

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Q: Vandermonds Theorem: 2F₁ (-n, b;c; 1)- (c-b), (c)₁

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Q: At noon, ship A was 14 nautical miles due north of ship B. Ship A was sailing south at 14 knots…

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Q: 3. Let G be a finite group, and suppose that N is a normal subgroup of G. Suppose that P is a…

A: Given that G be a finite group. Suppose N is normal subgroup of G. Also given that P is a p-Sylow…

Q: ve the particular solution to the differential equation below, y' = 4xy + 12.

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Q: 12. a. Evaluate (x²+2z)dxdydz where I is the region bounded by the planes z=0 and y + z = 4 and the…

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

Q: You deposit $400 each month into an account earning 7% interest compounded monthly. a) How much…

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