What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89

Q: 12+3i 1) A = 7+4i -12- 6i -5-7i -1+i 3-i a) This matrix is diagonalizable b) The P matrix would be…

A: Solution is given below:

Q: Given y(4) 2y"" – 4y" + 8y' = t² - 7+t sint, · determine a suitable form for Y(t) if the method of…

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Q: = Wm Does anything familiar happen when V₁ (d) Vn = W₁ (Hint: when V; = W₁ = F what is L(V₁, W₁)…

A: Please find the answer in next step

Q: If X(t) F.T. X(W)_and XCW) = + y(t) = X (2t - 1) it -1 (W+1) (2 +jwj2 • find Yow) if

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Q: C. From the piecewise function given below, i. ii. (3x-1, x 3 check whether the limit exist at x =…

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Q: Find the general solution of the differential equation y" - 4y - 12y -20t+24t². =

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Q: 4. Use iterative form to give its first 3 iterates. Explain how you determined your answer. a1=150…

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Q: Find the general solution of the following differential equation. y" + 9y' + 20y = 0 NOTE: Use c₁…

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Q: revolve the area bounded by a pentagon with vertices (1,0), (2,2), (4,0),(-2,2),(-1,0) about the x-…

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Q: Determine the mean and the rms values of the following by direct integration method a. f(t) = sint…

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Q: Solve the initial value problem y" + y' — 12y = 0, y(0) = a, y′(0) = −36. Find a so that the…

A: Given differential equation is y'' + y' - 12y = 0

Q: Sunlight is a mixture of all colors. When sunlight passes through water, the water absorbs different…

A: Given- Sunlight is a mixture of all colors. When sunlight passes through water, the water absorbs…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: We have to find whether the palm tree leaning. If so, by how many degrees from the vertical.

Q: The echelon form of matrix A = -1.5 0 -1 -2 2 -5 9 -2 6 3 7 39 -275 3 34 6 37 is matrix A = 3 0 0 0…

A: We have given that ,  A = 3-1739-22-275-59334-26637 Here , row echelon form of given matrix is , A =…

Q: QA why cis Banach space? let c= {UE C([0,+A)): SUPTE [0, +∞) |u(t) | <+0}

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Q: Exercise 2. Solve the optimal тахи (t) Sit. 3 control problem [( 1-2x² (4) +2^²^(()) + x' (t) = 4…

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Q: Let's define the function f: R+R by f(x) = 4x -1 2x+5 .(R* is the positive reals.) Prove that f is…

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Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

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Q: A hot metal plate at a temperature of (90+D) C is placed in a room at a constant temperature of (20+…

A: We know that T-Ts=T0-Tse-kt        .... (1) here, T=(55-D)T0=90+DTS=20+D

Q: Solve the following system using GS iteration method use x0 = (0000) 10x₁ - x₂ + 5x3 = 6 -x₁ + 11x₂…

A: The Gauss Seidel method is an iterative method to find the approximate solution of the system of…

Q: Evaluate the following integral (use Integration by Parts) Su².. sin³u-5 1-cos²u du

A: Solving integration by parts

Q: Given: Sudoku. Solve the values in Column C (3rd column from left). Give the value in cell C9 (top…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 2 Given integral is ∫−11x2+1dx. We have to estimate the given integral by using Trapezoidal rule and…

Q: Solve the given initial value problem. x'(t)= x(t) = 13-8 2 3 1 x(t), x(0)=

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Q: a) Let O be the set of odd numbers and O' = {1, 5, 9, 13, 17, ...} be its subset. Define the…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A: We need to determine the number of hours Person B alone would take to complete the job using the…

Q: 1. Use the Greedy Algorithm to find a Hamiltonian circuit starting at vertex D in the weighted graph…

A: To find- Use the Greedy Algorithm to find a Hamiltonian circuit starting at Vertex D in the weighted…

Q: Let T be a linear transformation that maps R" onto R". Which of the following statements is (are)…

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Q: are ² de = N(f) df 4 по- 8 N(f) of : tra³f دے > df p=24² fa P=

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Q: The area of the ellipse is given as A = nab. Find the area of the ellipse 25x2 + 16y2 - 100x + 32y…

A: It is given that the area of the ellipse is given by the formula A=π·a·b, where a is the length of…

Q: Let a ∈ R[[x]] with a0 not equal to 0. Prove that a has a multiplicative inverse in R[[x]]. You may…

A: We have given that , a∈ℝx a = a0 + a1x + a2x2 + ......  where each ai ∈ ℝ. Since , 1 ∈ ℝx  is an…

Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: The fixed point iteration method uses the formula: xn+1=g(xn) to perform the iterations and to…

Q: What is the maximum altitude of that object? (Hint: Think about what declination is measured…

A: Given: Observer's latitude is 20 degrees (North) Declination can be -40 degrees To find the object's…

Q: (a) Let f(x)= = if x 1. -X = Find the volume of the solid obtained by rotating the region bounded…

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z = 9…

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Q: fx(x-1)³ dx

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Q: a. Draw the directed graph corresponding to the adjacency matrix. [101] 1 0 2 1 2 Lo b. Using the…

A: We use the properties of directed graph and walk of lengths.

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: Let A=(aij)nxn be symmetric and positive definite. Show that laul< (anan), , lis = 1,2,..n 9

A: Given: Let us consider the given, A=aijn×n Let's prove that aij&lt;aiiajj12,i,j=1,2,...,n.

Q: CP11 solve do. at given that 2 No 2 GRESARROPA ४७ a x² + 10 =0 when x = 0 and x=l for all t شاد 21 0…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Find bases for the colume space the row space and the 3 A- 6 15 1 column space of A- -YAR

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Q: Check if the following statement is TRUE or FALSE. Let p(x) and g(x) be two open predicates in a…

A: We will check whether the given expressions are equivalent or not

Q: do 5 Evaluate cos(0) + sin(20)

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Q: Let the value of the function G(y), for y> 0, be given by the formula: G(v) = (e²²-2³)-¹dz Briefly…

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Q: (2) 2 (a) (D² +60 + 110+6) J dy (b) dy dň + 2(2)+55-0 =0

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Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

Q: 1. Find the determinants of the following matrices using Laplace Expansion and Triangular matrices…

A: 2] To solve by Laplace expansion and triangular matrices det…

Q: Question 15 Which of the following statements is incorrect? It is a basis for a subspace H, then…

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Q: Prove that simple random walk on a finite, connected, and undirected graph is aperiodic if and only…

A: Given that: G=V,E is bipartite if V=V1⊔V2 with E⊆x,y:x∈V1, y∈V2. Equivalently, G is bipartite if it…

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here xn=sqrt(3n+2)-sqrt(n)               =3n+2-n               =3n+2-n3n+2+n3n+2+n…