Find Sdr where C is a circle of radius 3 in the plane x+y+ z = 5, centered at (2,1,2) and oriented clockwise when viewed from the origin, if F² = 4y²² - 4x² + 3(y-x) 12² Se ² • d²=

Q: lem #2: SSC (curl F) · ndS wher Use Stokes' Theorem (in reverse) to evaluate F = 4yzi + 8xj +9yzek,S…

A: Here by using Stoke's theorem we have to evaluate the given integral in the portion of given…

Q: If A = 0 1 0 100 001 then det (A) = =

A:

Q: X de + Y x + y² +* 7. y. us = 1

A: Here we have to solve given bernaulli's equation.

Q: Consider the following matrix A and its reduced row-echelon form: -2 6-2 2 -10 -10 -6 18 -4 4-24 -22…

A:

Q: Evaluate the Cauchy principal value of the given improper integral. 100x² sin(x) x² + 6x + 10 dx

A: Let                 where I.P. means Imaginary part             Let                 for…

Q: Find the present value of the ordinary annuity. (Round your answer to the nearest cent.) Amount of…

A:

Q: When solving the y" - Ay = 0, 0<x< 1, subject to the y' (0) = 0, y(1) = 0, Sturm-Liouville boundary…

A:

Q: Sketch the domain of the function f(x, y) = (x − 1)(y — 2) √(y – x) (y – x³)

A:

Q: Let ^= [1] -6 Find a unit vector x whose first component is positive at which Ax has maximum length.…

A:

Q: Problem #4: Let Problem #4: A = SN 10 2 -2 -2 8 7 -5 -9 -2 -9 -2 3 -3 2 7 15 7 -4 Enter the singular…

A:

Q: A stationary value might be a maximum of a function in optimization with no constraints. .…

A: The objective of the question is to determine whether a stationary value can be a maximum of a…

Q: 7. In class, we learned about the predator-prey system of differential equa- tions. Here's a system…

A: Given system  using mice  and hawks  with t measured in days

Q: T F 103. T F 104. T F 105. (Vx≤R)[(x>0) → (3y € R)(xy = 1)] can be translated as Every positive real…

A:

Q: The graphs of f(x) and g(x) are shown in the figure below. Region R is bounded by f(x), g(x), x=-1,…

A:

Q: the section D of this question wasnt solved

A:

Q: dz dt = Az + f and z= where A = eAt 0 1 1 GJA H and f = 10 using the matrix exponential (et) solve…

A:

Q: When solving the Sturm-Liouville boundary value problem y" - Ay=0, 0<x<L, subject to the y'(0) = 0,…

A:

Q: Exercise 2. Let G be a graph and let a and b E G such that d(a) = A(G) and d(b) = 8(G) ≥ 1. Suppose…

A: (1) Show that a ∉ A:If d(a)=Δ(G), then a is a vertex with the maximum degree in G. For any vertex…

Q: Suppose 7 = (5, -5,2). Then (-10, 10,-4) is ✓ (2,-1,-1) is (7.5, -7.5, 3) is parallel perpendicular…

A: If the dot product u•v=0 , then u is perpendicular to v.If the cross product u×v =0 , then u is…

Q: (a) Estimate the area under the graph of the function f(x) = sum with n = 10 subintervals and right…

A:

Q: (i) Show that A is diagonalizable. Find a basis of R³ consisting of eigenvectors of A. Write down an…

A: Since you have asked more than one question, find the solution of the first one.

Q: Let V a subspace of V? = M2x2 (R). Is the subset W = {A E VIA is not invertible}

A:

Q: Consider the Boundary-Initial Value problem 8² u du 0 0 მx2 Ət u(0, t) = 0, u(8,t) = 0, t>0 u(x, 0)…

A:

Q: straight-line path

A:

Q: Use the definitions to compute the unit binormal vector and torsion of the following curve. r(t) =…

A:

Q: Solve the following initial value problem using Laplace transform: d²y dt² 18 dy where +45y = g(t),…

A:

Q: 10. z ds along the first octant part of y=x², 2+y=1 from (0, 0, 1) to (1, 1, 0)

A: Consider the integral  along the first octant part of  from  to .We know that .

Q: ind the missing coordinates such that the three vectors form an orthonormal basis for R³ : -0.6 0.8…

A: We have to find the missing coordinates of orthonormal basis.

Q: Calculate the decimals and percentages of the details below. Colours Number of Squares Fraction…

A:

Q: Problem Set C 19 Given: AKOR is equilateral. KOPR is a . KMOR is a 0. Prove: AJMP is equilateral.…

A: 1) In a parallelogram, opposite angles are equal.2) In triangle, the sum of all three angles = 180…

Q: Problem 0.1 Test the following series for convergence or divergence. Decide for yourself which test…

A:

Q: Determine to the 24 +22+8=0 Need (f(2)| > | g (2) on 121= 2 19 (2)| = 22 +8 ≤ 2/2/+8 = 2·2+8 12…

A: We have to determine the number of solutions to  with That is we have to determine the number of…

Q: The Alianz Arena is a football stadium in Munich home to Bayern Munich a German football club. The…

A: In order to optimize the camera coverage for Bayern Munich's Alianz Arena during pre-game, game, and…

Q: 5. Let A denote the set of all diagonal 2 × 2 matrices with real entries. That is, let A be the set…

A:

Q: Assume S is the surface x1000+y8000+z1000 = 10¹2 and f = (9+ eyz, x³yz, 3x - 5y - 6 cos(zx)).…

A: Here we use the Divergence theorem for a surface S inclosing a volume V

Q: Learning Target C3: I can calculate a binomial coefficient and correctly apply the binomial…

A:

Q: Two farmers, A and B, each apply 100 tons of manure on their fields. To reduce manure runoff, the…

A: Farmers are NOT allowed to trade permitsIn this case, farmers A and B will use only the…

Q: Problem #3: Let F(x, y, z) = (3y, 4x, 3y). Use Stokes' theorem to compute Sc F. dr where C is the…

A:

Q: Problem #6: Suppose that A is a rectangular matrix such that (A) (b) Find a matrix V such that A =…

A:

Q: Consider the function ƒ (x₁, x₂ ) = 5 x² + 4 x² defined on (x1, x2 ) = R². The Hessian matrix of f…

A: The objective of the question is to find the Hessian matrix of the function f(x1, x2) = 5x1^2 +…

Q: Linear algebra: please solve q4 correctly and handwritten example 2 are also attached

A: A matrix is diagonalizable if the characteristics polynomial factored into linear and  all the…

Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: For a path perpendicular to the vector field, the line integral is zero.For the path is along the…

Q: Given a (3 x 4) real matrix A and a (4 x 3) real matrix B, with determinant |(AB)| = a, and…

A:

Q: Solve the system of differential equations x₁= 2x1 + 0x2 x2 = −7x1 + 5x2 x₁(0) = 2, x₂(0) = 0 x₁(t)…

A:

Q: | Let F =, use Green's Theorem to evaluate [F.dr where the curve C is the boundary of the region…

A:

Q: Use MV = P(1 + RT) to find the maturity value (in $) of the loan. Principal $710,000 Rate (%) 13.35…

A: The given principal amount , rate of interest  and time  months.The aim is to find the maturity…

Q: The coach of an age group swim team needs to assign swimmers to a 200-yard medley relay team to send…

A:

Q: р 1+16x² Graph the function f(x)=- 3 " where p is a unique number assigned by the tutor. P= 1.2 р…

A:

Q: Consider the following matrix: 06 6 A 1 2 -1 0-8-8 For each of the following vectors, determine…

A:

Q: Janice receives a check from her parents for $1200, which covers her rent of $675 per month, the…

A: