Use Green's Theorem to evaluate -15/4 O -218/3 O 19/2 [(6y - 9x) dy - (yx - x³) da where C' is shown below. (-1,4) R (-1,-1) (1,2) (1,-1)

Q: 5. Solve by using power series: y'=x'y. Find the recurrence relation and compute the first 33…

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A: given function z+42+y-12=1 (a) draw projection on xy plane put z=0 42+y-12=1⇒y-12=-15 projection is…

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A: Let us consider that two hypothesis, H0:μ≥185H1:μ<185 where, μ is the average height of all male…

Q: find the divergence of F. F(x,y) = √ +y I i+ Y Pa 꾸

A: F(x, y)=xx2+y2i+yx2+y2j

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A: We write an inequality comparing (ln(n))8 and n.

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Q: Evaluate the following integral: S² S³²₂ √2+²x+yz dxdydz

A: Given integral is ∫12∫-zz∫2yy+z(x+yz)dxdydz

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A: Given equation is v=0.1t-1.5/t3              (1)   Solution a: Graph of equation (1) Solution by…

Q: Consider the function f: [-1, √10] → R defined by r², x>2; I≤ 2. f(x) 10 00 6 + 2 0 f(x) = 2 3 4…

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Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xe* False True

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A: Given differential equation is xy3dx + x2y2+1dy = 0

Q: Theorem 4.10. Let p be an odd prime. Then among 1, 2, ,p-1, exactly (p-1)/2 many are quadratic…

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Q: Choose the graph that shows the family of curves. O A. O C. -20= C= C=2- +2+ C=2 Ау +C=1 -C CEO C=0…

A: Given dydx=5y2-10y2    To Verify: ϕ(x)=21-c e5x , where c is an arbitrary constant, is a…

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A: Given- A large university is curious if they should build another cafeteria. They plan to survey a…

Q: + √" y(7) cos(t — 7)dr, y(0) = 1. 2. Solve y' (t) = cos(t) +

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Q: MBF 3C1 - April 2022 UNIT 3 ASSESSMENT 1 - QUADRATICS II Knowledge/Understanding 1. Multiply and…

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Q: 4. Sydney is saving for a down payment on a new home. Each month she deposits $150 into an account…

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Q: The function g is related to one of the parent functions. g(x) = -(x + 1)³ (a) Identify the parent…

A: Given function is g(x)=-(x+1)3      (1) Solution a: Parent function of (1) is f(x)=x3

Q: Evaluate the following integral using change of coordinates: SR S 23³ +ry²drdy where R is the region…

A: Given Integral, I =∫∫Rx3+xy2dxdy The Region R is bounded by, x =16-y2 and x =4-y2 Graphically the…

Q: In the first term, Sam's courses and grades were as follows: Calculate Sam Grade Point Average…

A: Introduction: Credits attempted - This is the total number of credits you've attempted for the…

Q: Solve the following differential equations. dy dx - 6 xy = x. 1) 2) d²y dx² +2 dy dx +2=0

A: To solve the given differential equations.

Q: By using Value of fixed point approach solve the A = √2 + √2+√2 === Solve илс супел Solve this…

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Q: A continuous random variable x has probability density given by -2x fx(x) Lo and the e(x). using…

A: Given pdf is f(x) = 2e-2x,x&gt;00,x≤0

Q: find the divergence of F at the given point. F(x, y, z) = ei + ej+ek at (3,2,0) div F = 0 div…

A: Given F(x, y, z) = e-xyi + exzj + eyzk

Q: Solve using Gaussian Elimination, Given the equation, what is the next step to take? 2x+3y=6 x-y=1/2

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Q: The general solution of the linear differential equation dx/dy -(cot x) y=sin(2x) a b с d *

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Q: z(0) r(t) y(t) = Find the solution to the linear system of differential equations 8 and y(0) = 5.…

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Q: • Use Part 2 of the Fundamental Theorem of Calculus to find the exact area. (You can compare this…

A: Fundamental  theorem of calculus  gives the antiderivative say g(x) = x3/3 -2x So the  value of…

Q: The formula A(t) = 19.6e0.0138t (4) models the population, A(t), of a US state in millions, t years…

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Q: Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of R9. A = 3 -9…

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Q: Consider the differential equation: y(5) + 4y(4) - y''' - 14y'' + 10y' = 0 Determine the…

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Q: Let A={1,2,3,4,5,6), B=(2,3),C={4,6} Answer Choices: a) C\(AB)=(C\A)~(C\B) C\(AUB)=(C\A)(C\B)…

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Q: 5. Solve the equation y-y'y"=1, given that y=√2 and y'- and y'= when r=0.

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Q: If the Wronskian W of f and g is t²e7t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

A: We have to find value of g(t)

Q: P4 Determine the cubic clamped spline interpolating the data points (0,1), (1,0), (2,2), (3,0) with…

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Q: Let u = (-8, -6, -8), v = (1, -6, 6), and w=(-1, -7,5). Prove/disprove: The set of linear…

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Q: The curve x² - 5y³ + 5x – 2y = -6 is shown in the graph below in blue. Use the graph below to draw…

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Q: Consider the function f : [-1, √/10] → R defined by [x², X, f(x) 10 8 6 4 2 0 -1 f(x) = 0 1 1 x > 2;…

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Q: The general trend sentence can be written as:

A: Have to write the conclusion of the diagram.

Q: (a) Estimate the area under the graph of f(x) = 4/x from x = 1 to x = 5 using four approximating…

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Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = (2x/π) + 1. Find the area of…

A: Given f(x)=sin(x)+1 and g(x)=2xπ+1   Given R is the region bounded by the functions f(x)=sin(x)+1…

Q: Determine if the specified linear transform T(X₁ X2 X3 X4) = (x₁ + x₂,0₁X3 + X₁₁X_ a. Is the linear…

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Q: Let H be a graph with the following adjacency matrix: 0 1 1 1] 0 1 1001 [1 1 1 0] A = (a) Draw H. Is…

A: To compute related to adjacency matrix :-

Q: What is the area between y = √x + 2 and y=-3x + 6 from x = 0 to x = 1? Select one: O a.-x² + 4 11 6…

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Q: 7. Suppose 2 × 2 matrix A has an eigenvalue i with eigenvector V = [¹ 7 (a) (b) Find the general…

A: given eigen value and eigen vector for the 2x2 matrix A is  λ1=i, v→=1-ii