2017 J Q3 + V5 in the form a+bV5, where a and b are integers. Without using a calculator, express -2 -V5

Q: 1. Solve the differential equation (x² + y)d.x + (x+ y²)dy = 0.

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Q: Jr, x € R, determine the nature of the origin as a 4. For the linear canonical system r' = fixed…

A: Given: The linear canonical system x'=Jx, where x∈ℝ2.   To determine: The nature of the origin as a…

Q: 1. 'Let X = {a,b,c,d,e} . Define ze P(x) by r={ø,X,{a},{c,d},{a,c,d},{b,c,d,e}}. ond nterore d) Give…

A: Let (X,τ) be a topological space and A be a subset of X, then the closure of A is denoted by cl(A)…

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Q: Let DCR be a disk ontining the crigiın ard dssume that dD →R is d Funeton given by g(zy) = e*Ccos9…

A: To check whether gxy=gyx at (0,0). Given…

Q: (a) Show that {e¬*,xe¯} is a fundamental set of solutions of y" + 2y' + y = 0 on (0, 00).

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Q: 12. Approximate So dx with adaptive quadrature, simpson's rule, and Romberg integration

A: Given data I=∫01exx13dx

Q: H.W: find the tangent plane and normal line of the surface f(x, y, z) = x² +2xy – y +z? = 7 at the…

A: Let us consider the curve f(x,y,z)=k Then the gradient of the function is ∇f(x,y,z)=fx,fy,fz The…

Q: Q9. Which of these is not the derivative of the function, y =X": --1½ A. -½x В. —0.5х-1Vx-1 С. —0.5…

A: Given function is y = x-12

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Q: Find the general solution to the simultaneous system of differential equations and its intervalof…

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Q: f(z) 5 4- 3- 2- 2 3 4 6. 7

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Q: B2. Euler's Theorem Let G = U(n) %3D Prove For any a in G, a^m = 1 (mod n), where m = (phi) (n),…

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Q: I. Solve for x. All final answers must be in Znwhere nis the modulus.  (a) x≡3(15) + 45 mod 18 (b)…

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Q: A bank features a savings account that has an annual 4.9% with interest compounded percentage rate…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop. The supplier…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: rb+c f (x)dx : f (x – c)dxr. a a+c Explain this result geometrically.

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Q: Let W = Lin and U= Lin 2 (a) Show that R' = W U. Explain.

A: Note:- As per our guidelines, we can answer the first part of this problem as all the parts are…

Q: Use the method of Laplace transforms to solve the given initial value problem, Here, x' and y'…

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Q: Solve the initial value problems: (a) / = 6+ 5y + y?; y(0) = 0 (b) / + 2.ry + ryt = 0; y(0) = 1

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Q: Sketch the path using the following parametric equations x(t) = 3t – 7 and y(t) = 4 sin t+1 0st55,…

A: Here we need to find different points for different values of t

Q: (a) |r cos(a*)dz

A: As per our guidelines we are supposed to answer only first part. Kindly repost other parts in the…

Q: The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund…

A: Solution :-

Q: Consider the heat equation for u(t, x) on the unit interval, ди J²u 0 0. Ət əx² (a) Solve the…

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Q: Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation L(y) = 0 and let y3 (t) be…

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Q: answer

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Q: Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Clairaut's Theorem Let DC R?be a disk containing the origin and assume that g: D R is a function…

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Q: Use the equation below for calculating the correlation co-efficient, r to state when the correlation…

A: This is a problem of theoretical distribution.

Q: Inverse 17) F(s) = s* + 2s + 2 %3D

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Q: Let x, y, A, µ E Z. Prove that if 1 = Ax + µy then x, y are relatively prime. a (a) Find a prime…

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Q: 1. What is the sum of the probabilities in any probability distribution? С. 1 d. 2 a. b. infinite O…

A: A statistical distribution is called probability distribution if it satisfies following: (i) All…

Q: 18. A function f(x, y, z) is called harmonic in a region D in space if it satisfies the Laplace…

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Q: 40.x = u', y = v², z = uv; u = 1, v = 1

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Q: 1.maclaurin series of ex

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Q: Construct a model for the number of cats, y, after x months that make use of the following…

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Q: B. Find the area of the region bounded by the following: r=8sin in ²0 2 16.

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Q: 6,6,6,6,8,10 - Find the standard deviation

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Q: Use the Laplace transform to solve the initial value problem y" – 2y' – 8y sin 3t, y(0) = 0, y'(0) =…

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Q: HW solve by Picaved method (up to third upprotination) =X+yz yco)=0 esed teed Find yco-l)? Too 20

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Q: what are domine, Vange and null space o F Tisra-s Ty Rom R?into Re 1

A: The given functions are                                 T1:ℝ2→ℝ2 such that T1ξ1,ξ2=ξ1,0.T2:ℝ2→ℝ2…

Q: 2ty t²+1 – 2t – (2 – In(t² + 1))y'

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Q: Q13. A department in a small firm has 50 members. The distribution of the number of coffee breaks of…

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Q: Set up, but do NOT evaluate, a definite integral for the length of the curve z=1 between the points…

A: arc length  of a curve given by y=f(x) in a≤x≤b L=∫ab1+dydx2dx

Q: Franscisca has 40 books in her bookcase. That is 32% of the books in the bookcase. How many books…

A: The solution is given below

Q: B1. (а) The unfinished Histogram and Frequency Table give information about the times, in hours,…

A: Histogram: It is a diagram containing the rectangles, whose base is the range of the intervals and…

Q: Q2. (a) Show that {e=²,xe¯²} is a fundamental set of solutions of y" + 2y' + y = 0 (0, 0). on

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Q: 4-2. (a). What is the coefficient of x’ in (1–x)º (b).What is the coefficient of x7 in (1–x)-9 i AL…

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