c) The set A of rational numbers in the interval [1,5] has Lebesgue measure 4.

Q: o f(x) f(x) is not a function because when x < 0 f(0) is undefined < 0 is undefined is defined

A: We have to complete the sentence.

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Q: f(x) = e2* if x> 0 Q5. The Fourier transform of the function: 0 if x<0]

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Q: Let f(x) 1- (2г — 3)3 (a) Find the Taylor series representation for f about x = 1.5 that is valid…

A: This is a problem of Taylor's expansion.

Q: 1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1 0 0 1 -1 0 0 0 0 1 -2 3 0 -4 2 B = 0 0 0 0 (a) Find the rank…

A: As per the rules we can only able to solve the first three questions So i solved the first three.

Q: Another model for a growth function for a limited population is given by the Gompertz function,…

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Q: Is this statement true? It is possible for the square matrix A to be invertible and to have its…

A: Note: The determinant of a square matrix A indicates whether A is invertible or not.Now, det(A)=0 if…

Q: What is the differential equation of the solution y = C1e 9¤ + C2xe Ya -9x + C3e7¤ ? O y" + 11y" –…

A: To find the differential equation for which the given solution belong .

Q: The average of two numbers is 42.25, and their product is 1647. What are the numbers? Enter them…

A: Here we have to find two numbers where average is 42.25 and product is 1647

Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

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Q: Which of the following is/are homogeneous equation/s? 1. 3y" - 2y +1 = 0 dy II. 3 dy? dy + 2y = 0…

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Q: 0- Draw a sketch of the Plane of 4x-tyt22-9=0

A: Solution

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Q: Arg (zz) = 0, whenever :+ 0

A:

Q: 1. Given: x(r+8)(r – 2) (r+ 2)3 8(7r- 4) (x+2)4 -4r2 f(r) = with f'(x) = and f"(x) = %3D %3D (r+2)2…

A: Domain of function are set/s of values of x for which function will be real and defined  For…

Q: To improve her handwriting, Liam practices writing the numbers 1 to 200 in words. How many times…

A: Given that Liam practices writing the numbers 1 to 200 in words. We have to find the how many times…

Q: Show that y = x is a solution of the differential equation x^2 y” – (2x + x^2 )y’ + (2 + x)y = 0,…

A: The solution is given as

Q: 1-10i Q2. If complex number z satisfies the equation: _2z – 57 = 3 – i where z denotes the complex…

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Q: x² sin æ+2x(2+cos a) cos 2 The derivative of f is f'(x) = graph of the function g defined by g(x) =…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 22 sin (x), a =…

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Q: PROBLEM 30. For (x, y) and (u, v) in R2, define (x, y) ~ (u, v) if x² + y² = u? + v?. Prove that…

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Q: Solve: y" + 4y = 8csc2x O y = C1cos2x + C2 sin2x + 4xcos2x 2sin2xln(sin2x) O y = C1cos2x + C2 sin2x…

A: The solution is given as

Q: Use Dirac's theorem to verify that the graph is Hamiltonian. Then find the Hamiltonian circuit.

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Q: (c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) =…

A: (c) (i) To find the equation of the tangent plane to the function given below  fx,y=3cosxsiny at the…

Q: 3. Maintenance costs for a building generally increase as it gets older. From past records, the rate…

A: (a) We need to find the total cost of maintaining the building for the first five years. That is…

Q: Consider the following function: -- 2, -2 < r <-1 f(x) = {1, 2-z, 1<r$ 2. (1) Sketch the graph of f…

A: Given the function fx=-x-2, -2≤x≤-1x,           -1≤x≤12-x,         1&lt;x≤2. Sketching its graph,…

Q: Set up, but do not evaluate, an iterated integral for , dv, where E is a cylinder of radius 3 cut…

A: We will have to set up an iterated integral ∫∫∫EdV where the E is a cylinder of radius 3 cutoff on…

Q: a subspace of V? Assume that V has the standard operations. W is the set of all functions that are…

A: Subspace of a vector space

Q: The population of a certain barangay is known to increase at a rate proportional to the number of…

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Q: 3. Let X be a set. Call a subset A C X to be finitely complemental if its complement is either…

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Q: 5. a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

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Q: 3. Find the Taylor series expansion of sinhx about x=0 and its interval of convergence. Then find…

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Q: By inspection, determine if each of the sets is linearly dependent. (a) s = {(2, -3), (3, 1), (-4,…

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Q: Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is…

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Q: 3. The alternating series test can be used to show convergence for which of the following series? I.…

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Q: Jae sIT expressed what IS rectangular firm? in A. -I tiì C - B 1- D. Ja -i

A:

Q: what is the lateral edge opf acube with a surface area of 294

A: Given the surface area of a cube is 294 . To find the lateral edge of a cube .

Q: We will use the definition of the Laplace Transform to determine the transform of f(t) 3t 1) Fill in…

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Q: H.W": Given the following table find x3, fo.Af.Af2,Af. Afo Afo Afo fo A²fo 30 1.666 4 20 Af1 2 2 Af2…

A: We can solve this using given information

Q: The functions: ƒj(x) = 7x and f2(x) = 2x form %3D a fundamental set of solutions of the DE: x²y" –…

A: (1) Given the function f1x=7x &amp; f2x=2x2 we have to show that these function form a fundamental…

Q: 3. Prove the following using the epsilon-delta definition of a limit. d. lim 1 = 0 X→-o X

A: We have to prove limx→-∞1x2=0 using the epsilon-delta definition of a limit.

Q: Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be…

A: Bisection method is one method used to find the approximate root of a function within a specified…

Q: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

A: We have to find power series.

Q: Advanced Math Question

A: Concept: In the given figure, lines are parallel. Hence the segment given are in equal pairs. Line…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

A:

Q: (x, y, z) = ( i i

A: Given that Length of vector = 6√3 We have to find component of vector.

Q: Г16 If n is a positive integer, then 4 36 is -16 [16 (Hint: Diagonalize the matrix 4 36 first. Note…

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Q: Consider the figure A(1,1,0) D B(-1,-1,-1) C(2,2,0) a) Determine the coordinates of D if ABCD is a…

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Q: Find the distance between the skew lines: x = 9 + 6t, Y = 5+ 6t, z =7–6t x = 7 – t, - y = 7, z = 6 +…

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Q: The differential equation dy = 7 + 6 x + 35 y + 30 xy da has an implicit general solution of the…

A: