Solve the system dx [1 -1] dt 2 with x(0) = X 4 [:] 3 Give your solution in real form. x1 = x2

Q: prove that; it pis Prime 2 (주) (1) o = ; PE +1 med B P = ± 3 hod 8 >

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Q: Flux across the boundary of an annulus Find the outward flux of the vector field F = ⟨xy2, x2y⟩…

A: Given: F=xy2, x2y,  R=x, y| 1≤x2+y2≤4=r, θ | 1≤r≤2, 0≤θ≤2π To find: Outward flux of a vector.

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Q: Consider the power series Find the radius of convergence R. If it is infinite, type "infinity" or…

A: The power series is ∑n=1∞5x-2nn2 we can also write the series as, ∑n=1∞5nn2x-25n We have to find the…

Q: 5. Let an be recursively defined by ao = Show that an converges, and find its limit. 1/2, an+1 =…

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Q: Show that Ris not standard tupology but s Cufnite to pulogy, compact for the Compact for the

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Q: A store charges 6.5% sales tax. If you buy a product for $27.31, how much will your total bill cost?…

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Q: Evaluate S xy dx + (x + y)dy along the curve y = 2x² from ( − 3,18) to (-2,8). с Sxy dx + xy dx + (x…

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Q: What are the x-intercept(s) of f(x) = x²7x+10 3(x-1)² a) There is no x-intercept. b) x = 1 (order 2)…

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Q: Prove that if p and q are distinct odd primes, then we have (p-1)(q-1) 4 OW (1) quadratic…

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Q: Let R1 and R2 be two different relations on the same set A. If R1 - R2 is reflexive then R1 is…

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Q: Define f: R → R by f(x) = x 2 + x + 1. What is f[R]? What is f[R +]?

A: Kindly refer to Step 2 for the solution.

Q: Question 2 Find the value of P when Q = 2 and R=-3 in the formula below. Leave your answer in exact…

A: Given formula 4PQ-RP/3=QR^2  To find the value of P when Q=2 and R=-3

Q: Solve the initial value problems given in Problems 21 through 26. 21. y"-4y' + 3y = 0; y(0) = 7,…

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Q: Q18. A biased coin is flipped 6 times. In a single flip of the coin, the proba heads is 1/3 and the…

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Q: ди д2u = k at дх2 u(0,t) = 0; - u u(x,0) = f(x) u(L,t) = ди(L, t) ?х

A: The given problem is to find the solution for the given partial differential equation initial and…

Q: As viewed from above, a swimming pool has the shape of the ellipse 1800 + 1000 = 1, where x and y…

A: Given that the cross sections perpendicular to the ground and parallel to the y-axis are squares, we…

Q: 315 Find the reduced row echelon form of A = 3 2 4 435 2 4

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Q: 7. Find the equation of an ellipse with a focus at (-5,2) and vertices at (-5,-1) and (-5,6).

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Q: Copy of Following section 9.5.2, let's calculate the equation of a plane passing through: P1 = (1,…

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Q: Consider the following. T is the reflection through the origin in R2: T(x, y) = (-x, y), v = (4,2).…

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Q: We have written the given differential equation in the form M(x, y) dx + N(x, y) dy=0 where M and N…

A: Given a differential equation Mx, ydx+Nx,ydy=0. Here Mx, y=y-8xex-6x2 and Nx, y. To find the partial…

Q: A football is in the shape of a solid obtained by rotating an ellipse a² b² inflated NFL football…

A: Equation of ellipse x2a2+y2b2=1 Length 11.125 inches and 28.25 inches in center circumference.…

Q: Solve the traveling salesperson problem for the graph below by finding the total weight of all…

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Q: Prove that R×R is uncountable

A: There are many ways to prove this fact.Here I am using topological fact to prove this result.

Q: According to this data, what is the probability that a random U.S. citizen you meet is not planning…

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Q: Find the volume of the solid with a base bound by the x-axis, with slices perpendicular to the…

A: Given :  A solid bounded by x and y axes and the curve y=5-x with the slice perpendicular to the…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Given surface is: Portion of cone z=4x2+y2 between the planes z = 12 and z = 14. We have to use a…

Q: Consider the inner-product (f; 9) := [_*¸ ƒ(x)g(x)dx. Consider the 'vectors' in this function space…

A: Using Grams schmidth Orthogonalization method we find orthonormal polynomial from a set of linearly…

Q: Let G = (V, E) be a graph. A subset D of V is called dominating if for all v ∈ V, either v ∈D or v…

A: Let G = (V, E) be a graph with no isolated vertices.  Let D ⊆ V be a minimal dominating set for G.…

Q: Given the rectangular prism shown below, how many square inches of wood are needed to build it?…

A: To build the rectangular prism wood is needed for all six surface for all surfaces. So we have to…

Q: Using the appropriate annunity formula calculate the monthly payment amount for a $44,010.54 truck.…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 2 + 6x + 4x² + 3x³ + ... and g(x) =…

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Q: 7.1.57. Give an example of a matrix with a left inverse, but not a right inverse. Is your left…

A: We will find an example of a matrix A that has left inverse but no right inverse and also show that…

Q: For what interval(s) is the graph of the rational function negative? 8 i 1 1 I tr T y 8 4 --+ 4 -8…

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Q: When baking a cake you can choose between a round pan with a 11 in. diameter and a 8 in. x 10 in.…

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Q: A survey of 108 people found that 46 carried a cell phone, 70 carried a tablet computer, and 30…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: What is true about the function f(x) = a) f(x) → 2 from below

A: Introduction: When a variable approaches its limit from the right, the function's right-hand limit…

Q: F(x, y, z) = yzexzi + ex² + xyezk, C: r(t) = (t² + 2)i + (t² − 2)j + (t²- 3t)k, 0≤t≤ 3 (a) Find a…

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Q: 2. Draw a directed graph which has the following adjacency matrix. Be sure to label the vertices and…

A: Draw the directed graph, using adjacency matrix

Q: Find the work done by F over the curve in the direction of F = 2xyi + 2yj-yzk r(t) = ti+t²j+ tk,…

A: Formula for work done is  W=∫abF.r'dt Where F=F(r(t))  We have  F=2xyi+2yj-yzkr(t)=ti+t2j+tk, 0≤t≤1…

Q: When baking a cake you can choose between a round pan with a 11 in. diameter and a 8 in. x 10 in.…

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Q: We have a geometric series where a1 =5 and a2 =10, find S10. Please don't answer in handwritten…

A: Given: We have a1 =5 and a2 =10 To find:              S10

Q: Given the rational function below −3x5 + 5x¹ −2x² +8 x + 2x -1 a) b) c) d) -3x² + 2x -7 ,find the…

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Q: You borrow 25500 DHS from your brother and promise to pay back 30000 DHS in twelve (12) months. What…

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Q: Calculate ffs f(x, y, z) dS For Js f(x, y, z) ds = y=5-2², 0≤x, z ≤ 5; f(x, y, z) = z

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