Prove that 45 is irrational.

Q: Show that the tangent plane of the surface z = 4-x²y at the point x = 1 and y = 1 is parallel to the…

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Q: (14-17) find the solution of following derivative by Rung-Kutta method f(x,y)=-2x + 12x²-20x + 8.5…

A: The given function is fx,y=-2x3+12x2-20x+8.5, y0=1, h=0.5. To Find: Solution of the derivative of…

Q: If A = {x,y}, then the power set of A is Select one: O a. {x} O b. {Ø,x,y} O c. {0, {x}, {2y}} O d.…

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Q: The Dirac delta-function obeys for any function f(x). a) Prove that f(x)8(x − xo)dx = f(xo) – where…

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Q: A conditional is false only when the premise is 4 Select one: O a. false and the conclusion is false…

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Q: Find, correct to the nearest degree, the angle of the triangle with the given vertices. A(1, 0, -1),…

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Q: Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%. What percentage…

A: The answer provided below has been developed in a clear step by step manner.

Q: Fifteen out of the first 20 students who entered the Calallen Middle School (CMS) on Friday were…

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Q: Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. A₁ = 5, x₁ = (1, 2,…

A: Answer follows by matrix multiplication

Q: Define the linear transformation T: R^ → Rm by T(v) = Av. Find the dimensions of Rn and Rm. A = 0 0…

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Q: shown in Figure 5.1.2, and that the pieces of f are either portions of lines or portions of circles.…

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Q: Find the eigenvalues and eigenvectors associated with the matrix A = = (²₁³) Determine the…

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Q: Hi, Unfortunately when i view the answer on my laptop it shows in text form as shown in the attached…

A: Note: As you unable to view answer in proper format so, i answered here in handwritten.

Q: 23) Given f(x) = x² + x-2, defined over [-3, -1]. Starting from xo= -3, the absolute error Appr. -…

A: General iterative scheme for Newton's method is  xk+1 = xk - (f(xk)/f'(xk)) , k = 0,1,2,3,...

Q: A rectangular electric burner plate of the region 1 ≤ x ≤ 3,-≤ x ≤ is heated so that the temperature…

A: Given: It is given that a rectangular burner plate of the region 1≤x≤3, -π4≤x≤π4, is heated so that…

Q: A triangle PQR in 3D-space has vertices P(1,2,3), Q(5,4,2), R(0,5,5). Use vectors to decide which…

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Q: Solve the system of equations 2x - y = 3 (3x + 2y = 1

A: The equation given are 2x - y = 3 --- (1) 3x+2y = 1 --- (2) multiplying equation (1) by 3 and…

Q: Let F = Z₂ and let f(x) = x³ + x + 1 € F[x]. Suppose thataisa zero of f(x) in some extension of F.…

A: The given field is F=ℤ2 and the given polynomial is fx=x3+x+1∈Fx. (1) We know that a polynomial…

Q: Let z = 2i and w=3-i. Locate the numbers 2z+w, z-3w vectorially.

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Q: Two functions f, g are defined as follows: Find a) ƒ-¹(2) b) (gof)(-4) f(x) = 3x + 5 g(x) = 2(1-x)

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Q: Explain, in terms of linear approximations or differentials,why the approximation is reasonable.…

A: Given: sec0.08≈1. We have to explain, the linear approximation is reasonable.

Q: Let T: R³ R³ be a linear transformation such that T(1, 0, 0) = (4, 2, -1), 7(0, 1, 0) = (-2, 3, 1),…

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Q: For the following graph G, let X denote the set of vertices in G that have even distances from…

A: (a) We first determine and note down the distances of the all the vertices from z.      dist(z, z) =…

Q: 8(x) It can be shown that for arbitrary b, 8(bx) = 5(2), and more generally, 8(b(x − x)) You can…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: a). What is a benefit of requiring eigenvectors to be normalised? b). Can a rectangular matrix of…

A: a) One benefit of requiring eigenvectors to be normalized is that it allows for easy comparison of…

Q: Show that the set of functions on(x) = exp(inx)/√2, where n I and i = V-1, are orthonormal in [-, π]…

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Q: (c) A triathlon competition consist of three events, running, swiming and cycling. The winner,…

A: I will use the given problem to answer the question.

Q: Find the image of (2,1,4), given the Linear transformation L(x,y,z)=(x+y, 2x,y+2z)

A: Lx,y,z=x+y,2x,y+2z Note: We are allowed to solve 1 question at a time

Q: The eigenvalue k and the eigenvector v of the matrix A follows: O O O O Av=kv insufficient…

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Q: 5s C-₁ C-¹ {√5² + 25 + 17 17}

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Q: 1. Bob, Glen, and Paul are once again sitting around enjoying their nice, cold glasses of iced…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 1. Consider the function f: R → R defined by f(x) = x sin(¹). A. For every x in R, the following…

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Q: 19 Solve g(s) = ['est g(t) at by integral transform method.

A: gs=∫0ses-tgtdt

Q: 3. Let S = {1, 2, 3, ...}. Let R be a relation on he set S x S defined by (a, b) R (c,d) ⇒…

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Q: 5. (-. A. 6. 3) The radius of convergence of E B. 0 C. 00 D. 3 s) The minimum radius of convergence…

A: We solve questions 6.

Q: Sketch and label a composite object with area x² - yz units.

A: Given that: Area of the composite object = x2 - yz units Let x be the side of an square Hence, as we…

Q: Bessel’s equation is x2y′′ + xy′ + (x2 − n2)y = 0, where n is a scalar, y = y(x) is a function of…

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Q: 9. Let A be a nonempty set. Prove that if f is a bijection on A and fof = f, then f is the identity…

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Q: 5. Find the solution of the owing constrained maximizatio problems (assum y ≥ 0). (a) maxx,y {f(x,…

A: We find maximum value

Q: Z 4. w/ f(Z) = e ² and C is the arc from Z= πi to Z=1 of @line Segement joining these Points..

A: Find integral on the straight line

Q: 10. The average of 6 numbers is 8. The average of 3 of them is 9. What is the average of the…

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Q: Find the negative real root of  x3 + ebx - cx = 0  if b = 2 and c = 10 using bisection method with…

A: Bisection Method: Firstly, find points a and b such that a<b and fa·fb<0. Now take the…

Q: JFMNLSRYA|VH|9W|X|Y8AVE310Un1a W w bb bl bl Ib Ib Of O HA 1a A A A L L 6 -+- ➡ € И i y b blb w TIC…

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Q: The slope of the family of curves at any point (x, y) is equal to (x + 1)(x +2). Find the equation…

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Q: 3. A. us) The general solution of y" + 5y' - 6y=0 is. B. y cie-6 + c₂e A. y cie + c₂e6 C. y =…

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Q: if a line is neither horizantal nor vertical and does not pass through the origin, show that its…

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Q: 7. Solve the following polynomial inequalities. b) t³ +2t²-3t 0 c) x(x − 2)(x + 1)(x + 5) ≥ 0

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Q: Exercise 1.3.8: Find an implicit solution for dy dx = x² + 1 -, for y(0) = 1. y² + 1'

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Q: Find the inverse of the matrix: = 2 1 2 3 - 2 -2 0 0 -1 -1

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Q: At what points is the following function continuous? f(x) = x³ +343 2 X 49 - 10.5, 8, X# 7, x# - 7 X…

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