5. 6. 3x2+2 So 0 2x2+4x+3 1 1 + 3x2 dx - dx

Q: Solve the differential equation with initial conditions y" - 3y 10y = 4e5t y(0) = 0, y' (0) = 1…

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Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

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Q: y(4) - 4y" + 6y" - 4y+y=0; y(0) = 0, y'(0) = 1, y'(0) = 0, y" (0) = 1

A: The Laplace transform is used to find the solution of the linear ordinary differential equation with…

Q: could gra ph bo th solutions  plz

A: Sol:

Q: find L{f(t)}. (Write your answer as f(t) = t²e-9t [f(t)} = (s > −9)

A: Given function is f(t) = t2e-9t

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: Calculate an LU decomposition of Calculate the LDU decomposition of -3 6 2 6 -5 -24 12 040 12 -56 26

A: (a) Given a matrix -362-5 To Calculate LU decomposition

Q: Calculate {te® sinh(4t)}

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Q: Verify the Divergence Theorem by evaluating [[F. F. N ds as a surface integral and as a triple…

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Q: Question 11 Consider the initial-value problem y = 6x +y, y(0) = 7. Calculate the first step only…

A: The given differential equation is: y'=6x+y, y(0)=7., h=0.1. To Find: y(0.1) using: (i) Forward…

Q: The Laplace transform of f(t) = t cos(2t) + t³e³t is:

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Q: L{e' f(t) + g(t)} = f (t) (S-1)4 . From the options below choose the correct expressions for and…

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Q: Use the Divergence Theorem to evaluate SSF. F. N dS and find the outward flux of F through the…

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Q: (d) i. Describe the Fermat primality test. ii. Can the Fermat primality test prove that 561 is…

A: Introduction: A positive integer that is divisibly only by 1 and that very number is referred to as…

Q: Jobs are listed in order of arrival. Job A B C D Set-up PT/# time 0.1 0.7 0.3 0.5 0.1 0.2 0.3 1.0 E…

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Q: Question 4 Compute the integral [ In(x³ + x²) dx accurately to three decimal places. You may use any…

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Q: For the differential equation x²(x²-9)y" + 3xy' + (x²-81)y = 0, the singular points are: O (0, -3) O…

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 18" Parabolic 2" 9"

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Q: Compute the integral [*ln(x + x³)dx accurately to three decimal places. You may use any legitimate…

A: To find the value of the definite integral we will use numerical integration method Simpson 3/8…

Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

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Q: Two matrices A and B are similar if and only if they similar to a same diagonal matrix. True False

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Q: Consider the initial-value problem y = 3x+y, y(0) = 5. Calculate the first step only (i.e., y₁) of…

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Q: The following are approximations of: 14.14562 15.07489 N₁ (h) 19.07298, №₁ = Assume that M = N₁ (h)…

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Q: A company that makes wooden tables and chairs has its production process with two basic types of…

A: It is provided that the item T requires 2 hours of carpentry and 1 hour of finishing. It is provided…

Q: Determine: if W = the set of all vectors in R2 whose components are integers is a subspace.

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Q: Use Stokes's Theorem to evaluate ·[F. Use a computer algebra system to verify your results. C is…

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Q: Let g(t) = e2tU(t-2) + Sin(3t) U(t-1) By using the definition of the Laplace transform we find that…

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Q: Which of the following graphs is NOT planar? II. III.

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Q: Determine whether each of the following matrices is positive definite. If it is not, give a…

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Q: Given that 7₁ = [] A₁ = A₂ = and 7₂ = [] are eigenvectors of the matrix determine the corresponding…

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Q: If f(x) = sinx and g(x) = 1 – 2x², which of these expressions is equivalent to g° ƒ) (ñ) = 9(ƒ(ñ))

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Q: In Romberg integration, R42 is of order: 02

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1) Let W = la + 2b + 1c + 8d la + 3b + 2c + 10d 3a +10b+7c+32d 2a + 8b+ 6c + 24d -5a + (-13) b +…

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Q: If cot(x) 3 8 Give exact answers. sin (-2) = cos (²) = | a(²/2) = tan || (in Quadrant 3), find

A: Explanation of the answer is as follows

Q: 7- y" + ²y = cos 2t, ²4; y(0) = 1, y'(0) = 0

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Q: Solve the following pairs of simultaneous differential equations: Given that, when t=0, x= 0 and y =…

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Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

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Q: Given the polar curves: C1: r = 1+sinθ and C2: r = 3sinθ, I.   determine the curves' intersection…

A: For polar curves r1=f1(θ) and r2=f2(θ) such that r1>r2, in the limits θ=α to θ=β, the area…

Q: the Laplace transform to so (0) = 0

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

A: Sol:- Find the tangent pointPlug x=1 into the equation fx=x2 tangent point = 1, 1Find the slope of…

Q: делеп, 47²-9y² = 9(2²+4) -TRACE ON TY PLANE: Put 2=0. 2 4x²-9y² = 36 36 Put 346 Nas w/co x² - y² g…

A: To Sketch: the graph of  4x2-9y2=9(z2+4).

Q: Let A be the set of all constant sequences in R^N. Prove that A is a closed set relative to the box…

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Q: Graph the function f(x) = u₂(x) ln x + u₁(x) (ln(10 − x) - ln x)

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Q: How is the area y> -1 converted by mapping w = iz ?

A: Given mapping is w=iz                 .... (1) Suppose, w=u+ivz=x+iy So, from (1),…

Q: Consider the system x' = x+y+3e¹t y = 15x - y (a) For the associated homogeneous system, calculate…

A: Given : x'=x+y+3e4ty' =15x -y To find :(a)  determine its stability             (b) general solution…

Q: F(s) = 1 T√√5(S+5.5) 5.5 +

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Q: -6 (Click on graph to enlarge) What is the Domain? What is the Range? Enter your answer in interval…

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Q: We used Romberg integration to approximate f f(x) dx, we got R₁₁ = 2 and R₂2 =3. Then f(1) = 1 4.333…

A: Option C is correct

Q: Solve the initial-value problem y" - y = tet

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Q: n! = (1) Dn + (1) Dn-1 + (2) Dn-2 + ··· + (₂²₁) D₁ + (2) Do.

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