Problem #7: Evaluate the surface integral fF.dS where F(x, y, z) = xyi - y²j - 2zk and S is the sphere x² + y² + z² = 9 with outward orientation.

Q: 34. flow proof of Corollary 4.1 35. paragraph proof MP REGULARITY Find the measure of each numbered…

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Q: 7. v₁ = (0, 0, 1), V2 (0, 0, 1), V₂ = (7, 4, 11), V3 = (5, 3, 13) 8. V₁ = V1 (2, 0, 0, 0), v₂ = (0,…

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Q: -4 FE f (x) lim f(x)=\ H--3 -3.1 -4 -400 lim f(x)=\ HI-3+ lim f(x)=\ 4-3 Submit А -3.01 -40000…

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Q: W h er 1, e m S 8. For each of the functions given below, describe the miss- ing function by giving…

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Q: 1) Determine if the vector b can be written as a linear combination of the vectors a₁, az, and al 1…

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Q: Calculate the average rate of change for the function f(x) over the interval -2 ≤ x ≤ 5 -3x² 2 == -…

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Q: 6.Compute the inverses of the following matrices: 85 16 2 3 12 -8 3 A = - B =

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Q: Let f be a function continuous on [0, 1] and twice differentiable on (0, 1). (a) Suppose that f(0) =…

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Q: The minimum value of p for which the series n= (5n¹4+3)¹4(5 + 14n¹6 + 3n¹7)p

A: Given that the series is                      To find the minimum value of 'p' for which the given…

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Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 122 2 1…

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Q: Are the vectors Choose 1 HQ-B -5 A+ 2 2 2 -1 3 and -3 linearly independent? -2 If they are linearly…

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Q: Find the maximum value of f(x1,2,,xn) = (x₁ - x₂ ... n)¹/" where x₁,..., In are positive numbers and…

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Q: A class is holding elections for class president, vice president, and secretary. There are 18…

A: A class is holding elections for class president, vice president, and secretary. There are 18…

Q: Homework: Find the Fourier transform of the signal given below y(t) = Y(w) = ? -12 2 0 >t

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Q: Find the locations and values of all relative extrema for the function with the graph below. -10 8 6…

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Q: Calculate each of the following expressions, rounding to 3 decimals if necessary. a) log 10, 000 b)…

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Q: Hiwl Maximize Фить // 2= 80 X1 +60xz X1+X2 1100 subj to : + х2 15150 X1 + 10х2 1воо X₁ Len

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Q: Yn+1(x) = A + f" de dt F(t, yn (t)), yo(x) = A, a is erate of the solution to (a) Use the iterative…

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Q: Consider this system of equations: 3x1 + 9x2 = 15 2x1 + x₂ = -1 Part 1 of 4 A. Write the…

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Q: To evaluate the following integral, carry out these steps. a. Sketch the original region of…

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Q: In first-order logic, an interpretation consists of the following: (Multiple Choice) A. Constants…

A: The correct option is (C)C. Constants, variables, predicates, and functions

Q: Given n (EUF) =125, n (E)=82, n (F)=80, calculate n (EnF) = ? and enter your answer in the box…

A: Given thatWe have to calculate .We know that

Q: Find the area of the region bounded by the curves x²y = 2, x²y = 3, y = x and y = 2x.

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Q: xcese X²(t)= [20 24 ] x -20 = [3] x(0) =

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Q: 9. Find the inverse of the matrix 0 0 k₁ 0 0 k, 0 3 0 0 k₁ 0 0 k₂ 0 0

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Q: Find the midpoint of the line segment joining the points P₁ and P2- P₁ = (d,n) P₂ = (0,0)

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Q: Given n (A^B) =17, n(A) =45, n(B) =143, calculate n (AUB) = ? and enter your answer in the box…

A: We have to calculate .

Q: 4. Suppose that {s} is a bounded sequence and let s = sup{s:n € N}. Suppose also that Sn 0, we can…

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Q: 5. For f(x) = x lnx, x € [1,3], find the least square approximation of f in the space P₂.

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Q: Please answer the following question attached below; Information; homogeneous, second order ODE d²y…

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Q: Part II- From the following diagram, use the wedge shortcut to answer these questions: a. If a…

A: Solution:According to the given data, find the following:

Q: How would I prove this statement...   Every odd integer is the sum of an odd integer and two even…

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Q: Determine whether the vectors are linearly independent. BA -4 -6 2

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Q: 1. Determine if the improper integral converges or diverges. If it converges evaluate integral. a)…

A: We have to determine whether the given improper integral is convergent or divergent.Note: According…

Q: Find the limit of the sequence {√5. √9+√5. √3+ √5+ √5, √/3+ √/3— √9+√5, √3+√3+√3+ √9+√5. √√3+√√3,…

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Q: Consider the double integral TI -√1-1² x + (x² + y²)³/2 dy dx.

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Q: prove the following relationships. Note that x(z) = ] [x(+)]. 1. ] [ a^² XLE)] = x ( ² / ) 2. ] […

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Q: graph the following functions. Use the Horizontal Line Test (HLT) to determine whether the function…

A: Given function isfor  [since both are positive]and for  [since both negative]and for  [ first one is…

Q: 1b. Show that lim inf (n) = = -∞ if and only if {n} is not bounded below.

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Q: 6. (a) Solve the equation dy dx You may leave your answer in an implicit form (i.e. you do not need…

A: (.)  Given differential equation is,             (.) Method of seperation of variables:A equation of…

Q: Let w, x, y, z be vectors and suppose z = x - 4y and w = - -2x - 4y + 2z. Mark the statements below…

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