Find a 3 x 3 matrix A that has eigenvalues 3, 5 and -4 with -3 -3 1 2 and ][- E Number Number Number the corresponding eigenvectors Enter an exact answer. Number Number A = Number respectively. Number Number Number

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 9, b) a sum not…

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Q: Let A, B and C be

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Q: Convert the following. form to general form of parabola a₁)(x-3) ²= 12 (1-4) 6.)(x-1)² = 8(4-3)…

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Q: Let a be a number a 0. Solve the following initial value problem. -2 *- ( ²3 -1 ) x x(0) - (2) = X,…

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Q: Cloe the Newton Raphson Mothed to find the solutions. the equation correct to 3 decimal places Xo =…

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Q: Solve the differential equation 8y"+16y = 8xy' using power series method. Then evaluate the first…

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Q: Question 1 A sequence is defined recursively as follows. an+1 = 2¹+ an-1 where n > 1. Part a)…

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Q: The population density of a city is approximated by the model f(x, y) = 2000e−0.01(x2 + y2), x2 +…

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Q: If φ and ψ are smooth scalar fields, show that ∇×(φ∇ψ)=∇φ×∇ψ

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Q: Find the volume V of the solid below the hyperboloid z = 7 -√√1+x² + y² and above the following…

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Q: need

A: We find required value of triple integral.

Q: You owe $16,000 on student loans at an interest rate of 4.15% compounded monthly. You want to pay…

A: The monthly payment is calculated using the formula: Monthly Payment=Loan amount×i1-(1+i)-n. Here, i…

Q: ab. A-1 -1 5 -5 AXI= 사 5 -5 = 저 - 5 -5-7 det(A-xz)=(지(5-2) - (-1)(5) a = 2² +62 +5 +5 = 2² +67+10…

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: 4. Use the equation below to answer the following questions. I = |Z| cos() + I cos (2) y a) Use…

A: Using calculator for part (b)

Q: . Suppose that the sn satisfies both limn→∞s2n = 3 and limn→∞s2n+1 = 3. (That is, the sequence given…

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Q: (a)) Let a₁, b₁, a2, b2 € N. Prove the following: If a₁ +b₁√√/2 = a₂ +₂√√/2, then a₁ = ₂ and b₁ =…

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Q: 1. Find the mass of the solid E bounded by the cone z = √² + y² and the plane z = h if E has density…

A: Given: z=x2+y2 , z=h , ρx, y, z=z To find the Mass of the solid.

Q: Write the domain and range of the function using interval notation. Domain: Range: 0 Σ y 1 --2- Show…

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Q: A research group is looking at fans at a football game. For some reason, they need to make sure that…

A: Here we take worst case possible. So, first we take 10 fans assuming that we have 5-5 fans of both…

Q: Question 3 The nth term of a sequence is explicitly defined as follows, bn = 3 +n where n ≥ 0. Show…

A: Recurrence relation is function which forms a sequence.  It is denoted by an.

Q: Let be a recursively defined sequence: a₁ = 1 and an exists, then a = 0 or a = 1/3. 3* an+1 = = 3a.…

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Q: Approximate ff(y-x²+2) dA for R= [0, 2] × [0, 3] using n = 4 subintervals in th R x-direction and m=…

A: Introduction: A basic calculus strategy is to start by providing an approximation for a given issue,…

Q: Use "Polar" coordinates to find the "Volume" of the given solid. a) What is the maximum bound of the…

A: a) Consider the given equations of the paraboloids, z=5-2x2-2y2 and z=4x2+4y2 The graph is shown…

Q: 2. Let the sequence (xn) be recursively defined by x₁ := 1 and ¤n+1 Prove by induction that 1 ≤ xn <…

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Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. A = 12 12 5-86 0 26…

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Q: Let an be the sequence given by an = 1+ n² NT COS 2 n+1 Find all accumulation points of an. What can…

A: The given sequence an=1+n2n+1cosnπ2 We have to find the accumulation points and the convergence of…

Q: Find a) Express the Integration Domain. b) Find the Partials (fx) and (fy). c) Find Area of the…

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Q: In the following list, select all the correct expressions if G(x) is the generating function of the…

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Q: A ballast is dropped from a stationary hot-air balloon that is hovering at an altitude of 340 ft.…

A: A ballast is dropped from a stationary hot-air balloon that is hovering at an altitude of 340 ft.…

Q: 3. Let B be an m x n matrix and let AB be a k x n matrix. If rank B = rank (AB), show that null (A)…

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Q: 1. How long will it take to triple the sum of money invested at 12% compounded quarterly?

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Q: Consider the ordered bases B = ace V of upper triangular 2 x 2 matrices. Find the transition matrix…

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Q: Q2. Determine all integer solutions (x, y), such that 0 ≤ a, y ≤ 100, to the following linear…

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Q: (b) (bn), where bn := n (1 +212) " for all n € N. Hint: Consider bn.

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Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: 27 1) Consider the function f(x) = - 16x, x = 0. a) Sketch the graph of y = f(x), for -4 ≤ x ≤ 3 and…

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Q: Find the domain of the function using interval notation. f(x)=2x (x-2)(x-7) To enter oo, type…

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Q: Find the set of outcomes that occur when we flip 3 coins and obtain more tails than heads. Enter the…

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Q: 389. The triangular region R with the vertices (0, 0), (2, 0), and (1,3) is shown in the following…

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Q: Question 1: What are the directional derivatives of the following functions along the given…

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Q: Question 2: Given the function f(x, y) = sin(x + y), at the point P(π/3, π/4), What unit direction…

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Q: Question 3: Transform the function f into spherical polar coordinates. What is the gradient when…

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Q: 37. Optimal garden A rectangular flower garden with an area of 30 m2 is surrounded by a grass border…

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Q: Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are…

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Q: ) Prove that F(x, y, z) = (y² cos x+2³)i+(2y sin x-4)j+(3xz+2)k is a conservative vector field.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Several friends chartered a boat for a day's fishing. They caught a total of 67 fish. The table…

A: We will determine the empirical probability that the next fish caught is a kingfish. From the given…

Q: (a) Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the…

A: This is a problem of Reimann Integration.

Q: 1. Obtain the general solution by the indicated technique: 1.1 adß+Bda+aß(da+dß)=0 separation of…

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Q: Which of the following are ring (i): f: (2Z, +,-) → (Z, +,-), (ii): ƒ: (Z8, +,-) → (Z4, +,-), - 2x -…

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