2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

Q: Let A = -48 -22] 110 51 Find two different diagonal matrices D and the corresponding matrix P such…

A:

Q: a) Find all critical points of the function f(x,y) = x³ + 3y - y³ - 3x and classify them as local…

A: Given: The function, fx,y=x3+3y-y3-3x.   To calculate: The Taylor series expansion of fx0+δx,y0+δy…

Q: 1. Prove or disprove (h) There is non-abelian group of order 255. i) There is a simple group of…

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Q: Given any matrices A, B E Mm,n(K), and C, DE Mn,p(K), for all λ € K, we have

A:

Q: Given the planes z=0,y=4, Calculate the volume bounded by the cylinder z=x^2 and y=x^2

A: The region is

Q: Find the approximated value of x until 4 iterations for e* = 3 log(x) using Bisection Method. Show…

A:

Q: (d) 2910 Subspace of R², or explain why it is not a subspace of R2. For each of the following…

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Q: FILL IN THE BLANKS (No Long Explanation needed. Rate will be given) a. The number 2.01237689…

A: a) 8 significant digits   b) a fixed point of a function f is a real number c such that f(c)=c.…

Q: 711 20150 711, 711 2015 (2) 241504711 20150 7112015047 (a, a, a), V₂51, a +1) and v3 = (a, a, a + 1)…

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Q: o<t <2π in a Fourier Series Ex: Expand fit) = +² expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

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Q: S+ xcos (nx) dx + (π-x)(cos(nx)) dx

A: Here we will use integration by parts  let f(x) and g(x) are two function of x then…

Q: Given the following sequences, what are the next three terms? Write the formula for the sequence.…

A: A series in arithmetic is an enumerated series of objects wherein repetitions are accepted and order…

Q: The only fixed point of f(x)=2¯* is Blank 1. (Answer must be in 8 decimal places) Blank 1 Add your…

A: A fixed point of a function is an element that is mapped to itself by the function. Given f(x)=2-x

Q: Determine if the sequence converges or diverges; if it converges, find the limit.

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Q: For the following function : 4 く亡くし f. (.t.)... {" 1st <2 a. Find the complex Fourier Serries... b.…

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Q: 1. Evaluate the given integral Q. Q · S²³ Sª* f*ª yza² dy dz da Your answer 2. Give the (upper,…

A: We need to find integral ,  Q = ∫02 ∫0x ∫0z yzx2 dy dz dx First we will find integral with respect…

Q: 100 000 61 383 52 279 Find the unknown number in between 45 000

A: It is known that: ∆=E-1, where ∆ is the forward difference operator and E is the shift operator.

Q: F (s) 1 = s(s²+2s+5)

A:

Q: A point is chosen at random from within the circumcircle of a triangle with angles 45°, 75°, 60° .…

A: As per the question we are given a triangle with angles given as 45°, 75°, 60°, along with its…

Q: Problem 6. We've solved the equation y"(x) + y(x) = 0 in class by assuming the solution is in the…

A: We solve the Differential equation  y"+y=0.....(1) about x=5.

Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

A: Here we will use fixed point iteration method to find roots of the given equation

Q: the answer in the reply box below. Use the format below in answering : A: B: First Order Linear…

A:

Q: Find the Laplace transform of the following: 3. g(t)=(3+2te - 4t² - 2t³)uz(t)

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Q: 4. The label on a chocolate cocoa powder gives the mass in two units of 282 grams and 56. 4 oz. Then…

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Q: 1. Assuming that 80% of the Mars surface is covered with water at an average depth of 3.5 miles and…

A: Follow the steps.

Q: 3K A. y = 2x + 5 B. y = -2x + 3 C. y = 4x + 3 The equation of this line is y-2x 3. Which of the…

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Q: Question 7 15 pts The sum of three numbers is -6. The first, minus the second, plus 5 times the…

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Q: Use multiple application of the trapezoidal rule to numerically integrate : f(x) = = 400 x ² - 900…

A: It is a Numerical Analysis problem. Let us estimate the value of the integral numerically using…

Q: (d) subspace of R2, or explain why it is not a subspace of R². (i) 1291051 (iis 291051 2012 For each…

A: We solve this problem using the definition of a subspace. The detailed typeset solution in latex is…

Q: The matrix has a singular value decomposition A = UEVT where and and The 2,1 entry of U is (U)21 =…

A:

Q: Question 15 Find the vecto [12] 5 S

A: A vector a with given magnitude in the direction of vector b is given by a·bb here magnitude of a is…

Q: 1. Evaluate the given integral Q. -L LL²³ . = (2x − z) dz dy dx Зг 2. Give the (upper, lower,…

A: Solution

Q: 2. Let f: R → R be the quadratic function defined by f(x) = 3x² - 12x + 15. i) Vertex and Axis of…

A:

Q: 23: The equation of the tangent line to the graph of y = f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: We have to solve given problems:

Q: Find the image of S under the function f in each of the following and sketch both S and f(S). π f(z)…

A: Here given set S=z∈ℂ: z=1, 0≤Arg z≤π3 It means z∈S⇒z=1·eiθ where 0≤θ≤π3

Q: Problem 3. Let A be a complex nxn (n ≥2) normal matrix. Suppose that λ = 1 is an eigenvalue of A of…

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Q: See the following system of equations:  2x - 6y - 4 = -5 2x - 10y - 9z = -4 -x + 6y + 5z = 3…

A: Let us find the matrices L, U and y using  L-U decomposition method on the given system in the next…

Q: Find the order and degree of exy" - 3(y²¹)² + 2xy = xe^ and write the differential equation in…

A: Properties of differential equation  The normal form of  differential equation is…

Q: Every proper simply connected oper equivalent to an open subset of the

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Q: Let A be an invertible n x n-matrix. The natrix A(1 : k, 1: k) is invertible for k = 1 Fation, we…

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Q: If ?=10cos^(3)? and ?=10sin^(3)?, find the total length of the curve swept out by the point (?,?) as…

A: Given x=10cos3ty=10sin3t

Q: ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of…

A: We can solve this using LU decomposition method And gaussin elimination method

Q: 2 Ex: Expand fit) = +² o<t<2π in a Fourier Series expansion Sol: 2 L = 2 TT VA L = π -41 -21 2tr 27T…

A: We need to find , an  an = 1π ∫02π t2 cosnt dt Here , apply u - substitution. Plug , u = nt ⇒ du = n…

Q: 18. How many milimeters are in the 87 oz coke can?

A: Solution

Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Given that Penny can see the clock on the top of her town’s courthouse from her front yard. The…

Q: Find a 2 x 2 matrix A for which E_1 = span (7))} E3 = span where Ex denotes the eigenspace…

A: E-1=Span-21E3=Span5-3 let v1=-21v2=5-3

Q: Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and…

A: let ABCD be a rectangle with vertex B at origin. let EF is the perpendicular bisector of line BD…

Q: a) Consider the following three vectors in R¹: V₁ = (1,1,0,2), V₂ = (-2,3,1,-4)", V3 = (0,5,1,0) i)…

A: As per our guidelines we are supposed to answer only one questions 3 subparts. Here first question…

Q: we have det(A) = det(AT).

A: As per our guidelines, we are free to choose typewritten as well as handwritten. Here handwritten…