Prove the shifting theorem F[s(t + to)](w) = exp(+iw to) F[s(t)](w).

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Q: find the a general solution to dy/dt = {{-9,12},{6,-8}}y

A: (.)  Given ,            (.)  Consider a system of differential equation ,…

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A: Given :  Withdrawal is made in beginning of every 6 month.So it is Annuity due.Withdrawal Amount (P)…

Q: Consider the following. f(x, y) = x² In(y), P(2, 1), u = - (a) Find the gradient of f. Vf(x, y) =…

A: Solution is uploaded below

Q: K Find the eigenvalues of the matrix. -800 0.00 70 8 The eigenvalue(s) of the matrix is/are (Use a…

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Q: Solve the matrix equation AX = B for X 3 0-27 91-8 -1 0 1 A = B= -31 3

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Q: find the general solution to dy/dt = {{3,-1},{4,7}}y

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Q: Question 3 Y Part 1 of 2 Use Green's Theorem to evaluate $.F F. dr, where F(x, y) = (9y-8, 6x-6)…

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Q: Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic…

A: We have to find the volume of the solid by subtracting two volumes .

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Q: Find the speed of the curve F(t) = (6 cos (t²), 6 sin (t²), 4t) at t = 3 Speed

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Q: Estimate the volume of the solid that lies below the surface z xy and above the following rectangle.…

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Q: Determine the inverse Laplace transform of the function below. 7 s² +49 2 Click here to view the…

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Q: 4. Find the uniform norm of each of the following operators on R²: 3 (2) [89] (a) The norm is 1. 4.

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Q: Use the Laplace transform to solve the given initial-value problem. y' - 5y = 8(t - 4), y(0) = 0…

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Q: Find the volume of the region under the graph of f(x, y) = 2x+y+ 1 and above the region y² ≤ x, 0 <…

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7 + 2t³,…

A: Given:To Find: Length of the curve.

Q: Suppose that f(x, y) = 8x + 9y and the region D is given by {(x, y) | -2 ≤ x ≤ 3, -2 ≤ y ≤3}. D Then…

A: (.)  Given ,            And the region is given by ,     We find double integral of  over  i.e.  .

Q: Solve y" -6y"+ 2y' + y = 0 . You may use Mathematica for solving the characterestic equation!

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Q: F(x)=3x+8 G(x)=4x+6 Find (f•g)(x)

A: F(x)=3x+8 G(x)=4x+6

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Q: Let X be the set of nonempty sets of (-1, 0, 1) and define a relation R on X as follows: For all…

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Q: 3(1)    this is incorrect

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Q: Use the Laplace transform to solve the given system of differential equations. dx dt dy dt x(0) = 0,…

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Q: Question 1 I = Y Check Answer 0 centered at the origin. $(2² +1²) ³ds >

A: Solution is uploaded below:-

Q: Use the ordinary annuity formula shown to the right to determine the accumulated amount in the…

A: The given values  is is invested semiannually for  years at  compounded semiannually.The objective…

Q: 4. Compute the norm of the vector (1, 1) € R² under each of the following norms: (a) the Euclidean…

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Q: 7 9 - 2 this information to find a basis for H. Let v₁ = 4 -6 1 V₂ = V3 = 21 1 1 and H= Span (V₁ V2…

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Q: Set up an and evaluate a double or triple integral using cylindrical or spherical coordinates for…

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Q: Find the Laplace transform of the function f(t). f(t)= sint if 0 ≤ t ≤ 4ñ; f(t) = 0 if t > 4 Click…

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Q: A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2%…

A: Let,W: amount of item A used,X: amount of item B used,Y: amount of item C used, andY: amount of item…

Q: 1) Determine the order and degree of the differential equation 3r a) Fourth order, first degree b)…

A: (.)  Given differential equation is ,             (.) Order of differential equation: The order of…

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A: solution

Q: Consider the vectors 5 ~0~8-E v2 = 2 Are these vectors linearly independent? -2 V1 = 3 -3 V3 = 2 O…

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Q: 3. Figure 5.13 shows the velocity of an object for 0 <t < 6. Calculate the following estimates of…

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Q: Please create a word problem using the sinusoidal function attached

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A: A fixed point in a permutation is an element that remains in its original position after the…

Q: Gradients in three dimensions Consider the following functions ƒ, points P, and unit vectors u.a.…

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Q: Solve the following 2-dimensional linear programming problem graphically: maximize: 3x1 +4x2 subject…

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Q: X-7 3 VI 7

A: Solution is uploaded below

Q: Bonus find the orthogmal projection of b on the column space of A. A = 1 32 -2 4 [1] 3

A: Solution is uploaded below

Q: 3) Consider the IVP y' = x − 2y, y(0) = 1/2. Determine which of the two curves shown in the figure…

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Q: Let -3 A= [2 ?] Calculate A 8 by finding Jordan Canonical form J = P" AP

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Q: 4.1.7. For each function, find the multiplicity of the given root. If it is a simple root, find its…

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Q: Calculate the bank discount and proceeds (in $) for the simple discount note. Use the ordinary…

A: Formula: 1. Bank discount2. Proceeds = Fave value - Bank discountGiven: Fave value = $65,000,…