Question 24 Using Green's Theorem, find the outward flux of F across the closed curve C. F = xyi + xj; C is the triangle with vertices at (0, 0), (9, 0), and (0, 9) 0 00 O - 81 243 2 162

Q: 9. 5 -2 2 A-[-²] · P-C 3] 3 0 13 If A = AP= PA, then what is A¹0?

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Q: Find the Area of the Trapezoid Illustrated. Write the result as a decimal as needed. ft² Assume…

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Q: Solve for DE y" + 4y' + 3y = cos(e^x)

A: General solution of differential equation is sum of complementary solution and particular solution.

Q: Question 12 Compute the product or state that it is undefined. 5-3 || Undefined -3 4 -3 8 2 -4 8 [-2…

A: Remark: Let A and B are matrices of order m*n and n*p. Then multiplication of A and B is possible…

Q: Find the work done by F over the curve in the direction of increasing t. F = i + j + k; C: r(t) =…

A: We have to find the work done by F over the curve in the direction of increasing t

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Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: Let F= = Use Stokes' Theorem to evaluate ²11₂₁² S consists of the top and the four sides (but not…

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Q: Find the determinant of the following matrix using the co-factor expansion method. -1 2-2 -3 1 1 -3…

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Q: 6. Consider the vector field defined by y F = (²) ² + ( 3y² m (x) - ₂ √ √ ) ³ + ( √T)k i j (a) Use…

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Q: Question 10 Solve the system of equations. x1 + 3x2 + 2x3 = 11 4x2 + 9x3 = -12 x3 = -4 O (1,-4, 6) O…

A: We solve given system of equations by substitution method i. e.  We substitute value of one variable…

Q: Let S be the surface parametrized by R(u, v) = (2u sin v, 2u cos v, -v), where 0 ≤ u≤ 2 and 0 ≤ v≤.…

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Q: Find the work done by F over the curve in the direction of increasing t. 1 F = ti + ½ j + k ; C:…

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Q: The LORAN (LOng RAnge Navigation) radio navigation system was widely used until the 1990s when it…

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Q: Use the figure at the right. Determine whether the given statement is true or false. F+E=C+D Is the…

A: First write them in the vector for  F = 11i -2 j E = 5i +3j C = 6i - 3j D = -2j

Q: Topic: Time Rates: Inverse trigonometric functions Suppose a car is traveling along a straight road…

A: The car is traveling in a straight line. The position of the car at time t can be measured using the…

Q: O Ene ¹' (t) = 1 − sint − | y(7)dr, y(0) = 0 = Joni osdi الا ساتھ dy to ad abhum

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Q: Problem I Determine for which values of the real parameter a the following matrix is not invertible.…

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Q: Show that u(x, y) = xy + X y is a solution of 2x ²u +y дхду ²u 2 dy² : 2x -

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Q: Given the differential equation: <-3x y (3)-y"-12y '=x-2x e Choose all correct answers There is…

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Q: Newton's law of cooling and warming states that the temperature T(t) of an object at time & follows…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating the region bounded by y =…

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Q: 6. Sketch the domains of the three given functions on the given axis: (b) g(x, y) = √y-x² (a) f(x,…

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Q: (c) Find the work done by the field F by evaluating the single-variable integral found in part (b)…

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Q: log has a pole at 0.

A: We called z=a is a pole of f(z) if limz-&gt;af(z)=infinity.

Q: Matrix A is the coefficient matrix corresponding to the system of equations Aï = 6 . Assume the…

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Q: an orthogonal basis for the column space of 6 -4 2 L6 -1 0 0-2 - 1 0 - 1 0

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Consider the function f(x) = (x² + x²) + yx₁ X2 subject to 2x₁ + x₂ = 1 Find the range of values of…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: Curve: y=x2 and Line: y=3xTo find: The volume of the solid by rotating the region bounded by…

Q: 83. PR bisects ZQPS & PRIOS P APQR = A by R S ΠΟ

A: Given , PR bisects &lt;QPS and PR is perpendicular to QS , we need to find whether ∆PQR to congruent…

Q: Two passenger planes leave the same airport at the same time. The first travels at a heading of 85°…

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Q: Given the first order initial value problem, choose all correct answers dy (x) (2)-6y-12(x) (²/3)=0.…

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Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

A: Given: Function, f(x)=150-15x           Boundary conditions: u0,t=u3,t=0To find: ux,t, u42, 0.1

Q: Verify that the vector X is a solution of the given homogeneous system. For X = (3) e- Writing the…

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Q: et r be a three-dimensional real vector-valued function such that r′′ exists. Show that d/dt [r(t)…

A: Given: r is a real vector-valued function in three dimensions, and r'' exists. Our aim is to show…

Q: solve for the solution for the given ordinary differential equations. show complete soln

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Q: Let f(x)=x sin() for x 0 and f(0) = 0. (a) Observe f is continuous on R; see Exercises 17.3(f) and…

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Q: Which of the following statements are correct? (Select all that apply.) 0 0 0 0 xa xª 1 xo xª-b □…

A: We now solve the given problem by explaining each options separately.

Q: o solve the given integral equation or integrodifferential ec f(t)=1+t-(7-1)³ (7) 3

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Q: 4. Solve dy d.x. 3y² - x² XU . Note: your solution may be left in implicit form.

A: Use variable separation method after y substitution to solve.

Q: 9. S= n=0 8 8 8 8 8 8 8 2 5 10 17 26 = +-+ + n² +1 (a) Use the integral test to show that S…

A: Given : ∑n = 0n = ∞8n2 + 1 = 81 + 82 + 85 + 810 + 817 + 826 + ...   To solve : The three given bits…

Q: Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0.…

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Q: Question 14 Using Green's Theorem, compute the counterclockwise circulation of F around the closed…

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Q: Given the differential equation: (x²-1) y" - 6x y + 12y=0 Choose all correct answers. Ay=c(1+6x²+x¹)…

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Q: A tank, shaped like a cone has height 9 meters and base radius 1 meter long. It is placed so that…

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Q: Compute the determinant of the matrix by cofactor expansion. -3 2-2 2 0 -1 2-2 0 3 0 -3 O 0 90 -90…

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Q: Write general solution of • y" - 64y = 0. Answer: • y" + 64y = 0. Answer: • 2x²y" + 5xy' + y = 0.…

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Q: Find the Laplace transform of 2.- L(t²) Value of 3.33%

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Q: 17. Determine how many components the graph has, and explain why does it have that number.

A: A graph is said to be connected if there is a path between every pair of vertices. For the given…