(a) Is the operator dx a Hermitian operator? d² (b) Is the operator a Hermitian operator? dx²

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Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

A: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

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Q: 29. y = 1 - 8 and y = 4x²

A: We can take point of intersection y =1/x and y = 4-x2implies (1/x)=(4-x2)i.e. f(x) =…

Q: Exercise 10.3.1 Let T: P₂ →R be a linear transformation such that T(x²) = 1, T(x²+x)=5, and…

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Q: Consider the two bases B = {b₁,b2} and C = {₁, 2} for R² where 3 5 = = - [B]-4-[13] 4-[8]), 4-[8] =…

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Q: For the function f(x) = 9 - 5x², find a formula for the lower sum obtained by dividing the interval…

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

A: Given is a function To Find: Upper Riemann sum and lower Riemann sum and find the area of the region

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Q: Consider the following linear system of differential equations: x' : y' = =X- - Y = -X 4y Write this…

A: Consider the following linear system of differential equations:A. Write this system in matrix vector…

Q: If vector A = 10i - 4j+ 6k and B = 2i + j, find: a. The component of vector A along j

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Q: Now let x₁ dimension is correct. (c) 4 dx dt olf = logt and 2 = dx dt ttan(t). Compute Make sure…

A: Given that Results:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: Using the definition, determine the Laplace transform of the function. 3, 0≤t≤5 f(t)= t, 5<t≤00

A: Here the value of t ranges from 0 to infinity. We know f(t) is given we need to find F(s).

Q: e isomorphic

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Q: Compute the following Riemann sums of the function p(z) = 2² +1 on the interval 1 ≤z≤4 L5: Ms= Rs=…

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Q: Modeling The following tank mixing problem was on our previous homework: pure water 3 gal/min…

A: After t minutes of process, let A(t) and B(t) be the amount of salt in tank A and tank B…

Q: #3: A 126 lb weight stretches a spring 14 feet. The weight hangs vertically from the spring and a…

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Q: < y g(x) A 4 y = f(x) B2 A² D B 2 C D' [C 4 Give an equation for the function y = g(x) in the form…

A: For the given graph of f and g, we see the graphs are similar. The graph of f or g can be achieved…

Q: Prove by induction that Vn N 72 n(n+1)(2n - 2) Σ(i²-i) = 6 i=1

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Q: 3. Let X and Y have the joint distribution as indicated in the following table: X=0 X=1 |Y=0 1/3 0…

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Q: 1. Find a vector valued function that represents the curve of intersection of the semi-ellipsoid x²…

A: The equation of the semi-ellipsoid is The cylinder is

Q: Solve the equation subject to the given conditions. d'y dy dx² dx 6y=4, y(0)=3, y'(0)=2

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Q: Let B = {b₁,b2} and = {C₁, C₂}. Find [v] and [v]. B 10 -9 [v] Ⓡ [v] 8 -7 -6 -5 -4 -3 -2 -1 6- 5 4 3…

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Q: Use Newton's method to approximate a root of the equation 3x³ + 6x + 2 = 0 as follows. Let x₁ = -2…

A: Given equation isInitial approximation is We have to find second and third approximation.We know…

Q: Solve the initial value problem y'' + 2y' + 26y = y(t) √ 2 2 ≤ t < 3 [0 t≥ 3 or t< 2 ' Give the…

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Q: You purchase 20 pounds of bananas at the store. This is the As Purchased weight or AP. When you peel…

A: You purchase 20 pounds of bananas at the store, this is the purchased weight or AP. When you peel…

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Q: 4. Solve the Laplace equation on a disk of radius r. with boundary condition given by U(r.,0) =…

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Q: Find the change of basis matrix [B]• B -{[B][] }; C {[³][7]} =

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Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

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Q: Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5). Find an equation for both lines…

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Q: Using residues, where a > 0 evaluate the integral x sin ax cos ax x² +9 dx

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Q: 24.1. For each of the following relations, answer the following: Is it a function, and if so, what…

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Q: (g) Determine if h is surjective. Justify your answer.

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Q: You cost out a New York steak dinner.    Your cost is $11.00 and you want to put this on the menu…

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Q: For matrices in M,, (K) for a field K, which of the following is true (a) the product of two such…

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Q: For which of the following matrices is [2 21 Ra [1] -41 [121 H an eigenvector with a nonzero…

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Q: Zet U= Span ([]₁[0]) subspace on product of Rs Answer the following questions basal this piven u and…

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Q: Solve the differential equation y(t) = y'' + 4y = √(t − 4), y(0) = y'(0) = 0. ,t 4

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Q: Use the Laplace transform to solve the given initial-value problem. 0, 0≤t< π y" + y = f(t), y(0) =…

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Q: Let f be a differentiable function everywhere and let p be a constant. Define a function g by g(x) =…

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Q: Write the given system in the matrix form x' = Ax + f. dx -=t³x-y-z+t . = etz - 2 =tx-y+9z-e¹ dy dt…

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