Find the flux of F through S SSF F.dS F(x, y, z)=4i-3j+5k, S:z = x² + y², x² + y² ≤ 4.

Q: Find the solution to initial value problem y(t) = dt² 2 + ly = 0, y(0) = 3, y'(0) = 3 dt

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Q: Sketch slope field for y' = y².

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Q: Given the function y(x) = sin(4+ sin(2x)) and the mesh x₁ = xo + ik, where co ㅠ 2' ㅠ determine the…

A: Note : According to the guidelines we are allowed to solve 3 subparts at a time. Please post rest of…

Q: Find the general solution of the system whose augmented matrix is given below. 1-4 0-1 0-8 10 0-7 9…

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Q: 2-adic representation of 100 is 100 = 1.22 +1.25 +1.26, and the 3-adic representation of 100 is 100…

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Q: Consider the function g(x) = x^2 + 3/16 (a) This function has two fixed points, what are they? (b)…

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Q: Obtain the general solution to the equation. dr do +rtan 0 = 9 tan 0

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Q: On a certain scale drawing, 1 centimeter represents 22 feet. The area, in square feet, represented…

A: To find the area in square feet represented by a 3 cm by 5.5 cm rectangle on the given scale drawing…

Q: On C[0, 1] define the operators S and T by Sf(x) = 13/ 374 f(t)dt. Tf(x) = f(x), z = [0, 1]. 5. (c)…

A: Given two operators S,T on the set of continuous functions  .Consider the norm as  .Also given To…

Q: Consider the following sets A = {Z, {0}, {1,2}, 3} B = {3, {1,0}, 1, 2, N} What is BA? B\ A =…

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Q: The principal ideals generated by any two elements of an integral domain are equal if and only if…

A: We have to prove that the principal ideals generated by any two elements of an  integral domain are…

Q: Determine whether the equation is exact. If it is, then solve it. (- sin x cos y + 10x)dx- (cos x…

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Q: We are trying to prove the following limit. lim (6 - 2x) = -2 x→6 Once we have specified in terms of…

A: Given,                To fill in the blanks for the following statement i.e.

Q: You have 3 points (1, 6), (2, 4), and (4, 3). Find the best function to fit these data from the…

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Q: Let R be a commutative ring with unity. Then every maximal ideal of R is a prime deal.

A: Let R be a commutative ring with unity. Then we have to show that every maximal ideal of R is a…

Q: Find the solution of the given initial value problem. ty' + 2y = sint, y(7) = 3, = 3, t > 0 Y

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Q: Let D be an integral domain with unity 1. Two non - zero elements a, b € D are associates if and…

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Q: 18.28 The following data defines the sea-level concentration of dissolved oxygen for fresh water as…

A: (a) Find the Newton's forward difference table from the table of values.

Q: No written by hand solution and no image Suppose that || · || and ⟨⟨·⟩⟩ are two norms on Rn. We say…

A: To prove that the given norms are comparable, we need to find constants c1 and c2 such that for all…

Q: Let Find A = x³y 1-2xz] + 2yz k Vx(VxA).

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Q: 1 (a) Find the parametric equation for the line through a = parallel to b = 3 (b) Sketch this line…

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Q: Show how to use the Intermediate Value Theorem to show that the equation has a solution between 1…

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Q: How many solutions are there to the equation X1 + X2 + X3 + x4 + X5 30, where x; EN

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Q: Rate of Change and Linear Function A higher proportion of 18- to 24-year-olds live with an unmarried…

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Q: Find y as a function of a if y(0)2, y'(0) = 3, "(0) = -13. y(x) = y″ − 4y″ − y′ + 4y = 0,

A: Given a differential equation:initial conditions are:

Q: We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36…

A: Graph of (x−9)2+y2=36Graph of solid:

Q: Exercise 1.5.7 Solve the following two systems of equations simultaneously, by using a single…

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Q: Determine whether the equation is exact. If it is, then solve it. 2x (3) dx - y² dx - 7y- dy=0…

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Q: What value(s) of & are an appropriate choice when proving the following limit? _lim_ (x² +7x) -6…

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Q: Use the fact that matrices A and B are row-equivalent.(a) Find the rank and nullity of A.(b) Find a…

A: As per our company guidelines we are advised to solve only the first three sub parts. Kindly repost…

Q: 5. What is the z-transform of the signal x(n) = (0.5)nu(n)? A. B. C. D. 1 1-0.52- 1 1-0.5z T;…

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Q: X+2=4 X-Y=6 X+Y-32=8

A: Given system of equations: We have to solve this system of equations by using Gauss-Jordon…

Q: ● Let A = [0, 1) and B = [1,2] U [1,2], then (2 pts) Find sup (An B), sup (A), and sup B

A: Given that and Now, recall  the fact  the definition of Supremum.Let (1) (2) For any there exists  a…

Q: How many injective functions are there from {1, 2} to {a, b, c, d}?

A: Let and .We have to determine the number of injective functions from  to .

Q: determine wether the given set of invertible n x n matrices with real number entries is a subgroup…

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Q: Suppose X = Rk+, for some k ≥ 2, and define x = (x1,...,xk) ≽ y = (y1,...,yk) if x ≥ y; that is, if…

A: Given that we have to show that  is transitive on Let,then this implies that Thus we have for Hence…

Q: The graph of y = √4x - x2 is shown in the figure. y = y y 2 Use transformations to construct a…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Determine if the differential equation is Separable, Linear or Exact or neither.(Show your work as…

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Q: A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of…

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Q: Cyril plans to invest $5500 in a money market account that pays interest compounded annually. a.…

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Q: (-n) ³ 3n² +9 absolutely convergent O conditionally convergent O divergent The series =0 is

A: The given series .The aim is to determine the series is absolutely convergent, conditionally…

Q: 162. Use the method of shells to find the volume of the donut created when the circle x² + y² =…

A: Given Information:A circle is rotated about the line  results in donut.To find:The volume of the…