Find the flux of the vector field F = (y, z, x) across the part of the plane z = 2 + x + 3y above the rectangle [0, 4] × [0, 5] with upwards orientation.

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Q: How did you get f(x) = 2-2x, can you please let me know.

A: (a) there may be a lot of examples of function f such that      f : [0, 1) → (0, 2] is bijective.…

Q: d) f(x) = (x²+1)/(x²+2)

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Q: Calculate ffs f(x, y, z) do For Sfs f(x, y, z) do = x² + y² = 16, 0≤z≤ 9; f(x, y, z) = e

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Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on…

A: given y=cosx and 1-2xπ≤cosx≤-x2+4+π42 integrating both sides , we get ∫0π21-2xπdx≤∫0π2cosx…

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A: The four fundamental subspaces of a matrix are NA, NAT, RA and CA, where NA is called the null…

Q: - Some Geometry With Cones Problem Suppose that C is a cone in R" and let us define another set C'…

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Q: 1) Make a change of variable so that the following series begins with k = 5. n i=2 (−1)²+1 (i-1)²

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Q: emand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks on…

A: Here we will find profit function in terms of p and then use derivative to find maximum value of…

Q: 2 =and cos y = -3, where x, y € 1,37], 7 2 Find the value of sin(x + y) and tan(x - y) If tan x =

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Q: 3. Let E be the elliptic curve E(F3). y² = x³ + 2x + 1 defined over the field F3. Compute

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A: Given: Rectangular coordinates 2,-2,-2 of the point.To find: Cylindrical coordinates r,θ,z of the…

Q: 6. Let (a, b), (c,d) E R2. Define a relation ~on R2 by [ (a, b)~ (c,d) if |ab|=|cd| Show that is an…

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Q: 4. Frieze Patterns (wallpaper borders) have patterns that repeat indefinitely in a single direction.…

A: Kindly refer to Step 2 for the solution.

Q: Find the first four nonzero terms in a power series expansion about xo for a general solution to the…

A: Solution:-

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Q: Let W be the subspace of R³ spanned by the vectors Find the matrix A of the orthogonal projection…

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Q: 1. Consider the curve in parametric form x (t) = t³ - 3t y(t) = 3t²-9 a) Find the point(s) where the…

A: Slope of tangent line to any curve dydx For any parametric curve x(t) , y(t) dydx=dydtdxdt Note :…

Q: ind an eigenbasis for C = 2 3 0 -2 -1 -5 2 0 2 ܟ

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Q: Create an example of an elliptic curve over a finite field of the form Z/pZ where p is a prime…

A: As per the question we have to give an example of an elliptic curve over the finite field Z/pZ where…

Q: In 2001, the U.S. Senate had 50 Republicans and 50 Democrats. On May 24 of that year, James…

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Q: Graphing Rational F After completing assignment, preferably hand-written, pl GIVEN: f(x) = x²2x-15…

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Q: Suppose ƒ : R → R is differentiable, f(0) = 0 and f'(x) > f(x) for all x ≥ 0. 1. Prove that f(x) > 0…

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Q: . Starting with the transform L{1} (s) = 1/s, use for- mula (6) for the derivatives of the Laplace…

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Q: 1. Use Dijkstra's algorithm to find the shortest path length between the vertices a and z in each of…

A: Please find attachment

Q: without solving given the differential equation, find the minimum radius of of series solution power…

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Q: The value of a machine, V. at the end of t years is given by V = C(1-r)'. where C is the original…

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

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Q: There are 3 balls in a hat; one with the number 2 on it, one with the number 4 on it, and one with…

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Q: Let x1 = 2 and let xn+1 = 1/2 *xn + 1/xn. a. Prove that xn is decreasing and bounded from below.…

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Q: Find the surface area of the part of the plane z = 4 + 3x + 7y that lies above the rectangle [0, 6]…

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Q: f(n) (0) Write the first six terms of the Maclaurin series f(x) = E=0 n! Write the first six terms…

A: For writing first six terms of the following series we will put n=0,1,2,3,4,5 As follows

Q: (d) How many functions f: A→ A are there so that fRIA? Explain.

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Q: K Solve the following linear programming problem. Maximize: z= 3x + 7y subject to: 6x + 4y ≤ 24…

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Q: Se-x² 0 dx

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Q: Zia resides in Calamba, Laguna, and has a job at McDonald that is located 2.3 kilometers away from…

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Q: Refer to the weighted voting system [25:17, 9, 8, 6] and the Banzhaf definition of power to answer…

A: 5. Given the weighted voting system 25:17, 9, 8, 6. To find the winning coalitions, we must find a…

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Q: Use the quadratic formula to find the x-intercepts of the following function: Round to 1 decimal…

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Q: 4) Construct a Boolean expression (symbolic expression) for the input/output table below. Simplify…

A: To write down the Boolean expression that describes the given truth table, simply write down the…

Q: Set up but do not evaluate the integral which is the surface area of region obtained by rotating…

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Q: The Fourier series of the function is given by where 11 co= T Сп and b₁ = 22 x(2n + 1)² (-1)". 11 11…

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