Solve the initial value problem+x=8(t-2), z (0) = 15, (0) = 3. x (t) =

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A: Given an orthogonal basis then we have to find orthonormal basis.

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Q: Question 3 i need a time not how many hours or minutes

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Q: 3. If y = 4cos x + sin 2x, what is the slope of the curve when x = 2 radians? A.-2.21 B.-4.94…

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Q: 10. Find the volume of the part of the unit ball that lies above the cone x² + y² = 3x².

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Q: Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s): = 120 85 50 | 5

A: We need to find the inverse Laplace transform of the function .We know that, if , then .We know that…

Q: Consider the following linear optimization model: (P) min 2x1 +4x2+ 10x3 + 15x4 s.t. -x1 + x2 + x3 +…

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Q: Consider the initial value problem y' = y√t over the interval [0, 0.3] with initial condition y(0) =…

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Q: Let R be the region between the graphs of y = 1 + cos(x) and y=x² x = 1. Set up, but do not…

A: For a given region R we have to find an integral expression  for volume generated when R is rotated…

Q: Problem 1: Here is a set of polynomials {1,1-x}. Is this a linearly independent or dependent set,…

A: Inner product in the polynomial space defined by<f(x),g(x)>=∫0∞e−xf(x)g(x)dxLeast square…

Q: 0 i 0 Let A = 1 10 as a matrix over C, where i = √√-1. Li 0 i Find p₁(x), m₁(x) and determine if A…

A: Eigenvalue: A number  is said to be an eigenvalue of a matrix A if there is a non-zero vector xsuch…

Q: . Suppose an individual has preferences over x and y, and both goods are normal goods for the…

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Q: Three dice are rolled. Let the random variable a represent the sum of the 3 dice. By assuming that…

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Q: Let b₁ = [¹3] and 62 = [₁¹]. T(62) = 661 +362. (a) The B-matrix of T (in other words, the matrix of…

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Q: Solve the following problem and show your complete solutions. 2. Find the area bounded by x = 1 +…

A: We have two equation x=1+y2 and x=10We have to find the area bounded by these two lines.

Q: 1. Let R be the ring of all functions f: R → R, with operations of pointwise addition and…

A: Ideal:  Let  is a ring. A nonempty subset  of a ring  is call an ideal of , if following are true.…

Q: A collection agency, specializing in collecting past-due child support, charges $20 as an…

A: The objective of this question is to calculate the total charge for collecting $2900 in past-due…

Q: 1. Determine the value of x, that makes sinx √3 for 0 ≤ x ≤ 27 using the unit circle or special…

A: By using unit circle we will find the angle.

Q: Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

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Q: Let S be the surface shown in the following figure in the first octant in the xy-plane, and let 7 be…

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Q: (3) Evaluate the integral F. dr where the vector F is defined by F = and where the curve C is…

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Q: Suppose all supplies and demands are integers in a transportation problem. Then the optimal solution…

A: LP relaxation allows for fractional values in the solution, especially when using techniques like…

Q: 1. Use the Direct Comparison Test to determine whether the following series converges or diverges. Ž…

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Q: 1. 2. Which of the following is a vertical asymptote of the graph of y = tanx. b)x= 7/ c) x = 1/3…

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Q: The acceleration component of a particle at a certain direction is determined using the formula…

A: Given Information:The position vector is .To find:The velocity and acceleration.The acceleration…

Q: Determine the order quantity Q, safety stock, and reorder point R

A: Calculation for G1:

Q: Suppose R is the solid bounded by the plane z = 4x, the surface z = x², and the planes y = 0 and y =…

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Q: For this system of 1st order ODE, -21 y₁' = 4y₁ +2y₂ -2e- V₂' = 3y₁ + 3y₂ + 3e-²¹

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Q: 2. Let A = = 1 -4 -2 (a) Compute the eigenvalues of A. (b) Find a basis for each eigenspace of A.…

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Q: A Scenario: Jimmy store sells large tins of Tom Tucker Coffee. The deli uses a periodic review…

A: As per the question, we address inventory management for Jimmy's store, which employs a periodic…

Q: PAST PRACTICE EXERCISES

A: The objective of this question is to find the expression for the marginal rate of technical…

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A: Given quadratic form is ,which is matrix form Now eigenvalues of A are Eigenvector corresponding to…

Q: Determine the volume of the shaded region. When appropriate, use the key on your calculator.

A: Given that the shaded region is                              .To find the volume of the shaded…

Q: Evaluate S√x² + y² dA, where D is the domain in Figure 4 D G Rg FIGURE 4 SSD √√√x² + y²dA= F Rf x F:…

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Q: The matrix A has eigenvalues λ = 1, 2, 3, 4. Is B -4 555 -6 2 6 6 -7 0 3 7 -8 5 5 9 = -3 55 5 -6 3 6…

A: Given that the matrixhas eigenvalues .andWe have to check whether the matrix B is diagonalizable or…

Q: Exercise 11.2.2 On C[-1,1], which of the following functions are orthogonal to each other? fi(x) = =…

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Q: Determine whether the following series converge. 1+ 3k 1+2k (1) Σ k=1 (2) Σ k=1 (−1)k 2k + k

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Q: Suppose that a firm's production function is given by: F(K, L) = 4KL – 2 min{K², L²}, where K…

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Q: Can you do this part step by step so I can know how I got to the answer?

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Q: Prove that if R is an integral domain of character- istic p where p is a prime number. Then for any…

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Q: Use Stokes' theorem to evaluate // V x 7. ds where S is the hemisphere x² + y² + z² = 16, x ≥ 0,…

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Q: A student council consists of 15 students. (a) How many ways can a committee of seven be selected…

A: The objective of the question is to find the number of ways to select a committee from a student…

Q: 3. Given the function h(x) = - 2 (x-1)² a) Determine the restrictions on x and state the domain of…

A: The given function is (a)  At x = 1 we get         hence…

Q: The correct network is -Select- A. C. F B. D. B

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Q: N Let y = 8 1 U₁ = W|N and UUT W|N -13 5 = 4₂ 2|3 113 I 23 a. Let U = [u₁ u₂]. Compute UTU and UUT.…

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Q: Find the general solution of the differential equation Answer: y = c where m= C₂ = Cn = n-m C₁ if n…

A: Given differential equation isx2y″+xy′+(4x2−4)y=0Rewrite the equation asy″+1xy′+4x2−4x2y=0Let…

Q: ABF needs to deliver an important LTL shipment in 6 days. If the delivery is 2 days late then ABF is…

A: ABF is facing a critical decision in delivering an important Less Than Truckload (LTL) shipment…