1.10 Do the Gaussian reduction to check the formula for 3x3 matrices stated in the preamble to this section. a b c d e fis nonsingular iff aei + bfg+cdh-hfa-idb-gec #0 9 hi

Q: The matrix 5 0 -5 0 0 0 -10 -10 0 0 15 15 has two distinct real eigenvalues X₁ < A₂. Find the…

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Q: What are the physical dimensions of a and B? (a) (b) Find the general form of r(t), the position of…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 2) At an agricultural show, 10 Shetland sheep were ranked by a qualified judge and by a trainee…

A: Entry A B C D E F G H I J Qualified Judge (x) 1 2 3 4 5 6 7 8 9 10 Trainee (y) 1 2 5 6 7 8 10 4…

Q: (a) Find an equation and then identify the surface that consists of all points P which are…

A: (c) Let P=(x,y,z) be a point on the surface where the distance from P to the plane x =1 is k times…

Q: Vrite the expression as a single I log_(d)x+log_(d)y-log_(d)t hoose the correct answer..

A: The given expression is logdx +logdy-logdt. We use the following two properties of logarithms here.…

Q: b) The rectangles in the graph below illustrate a x² 2 11 ? on the interval [2, 6]. The value of…

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Q: The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders’…

A: Total number of member: 10 Number of position : 4

Q: Let V be an inner product space over R. Define a function d: V x V → R by d(u, v) = ||uv|| where u,…

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Q: Facebook has a revenue function of R(q) = 5q2 -10q + 600 and a cost function of C(q) = 3q3 + 200,…

A: Given: The revenue function is: Rq=5q2-10q+600. The cost function is: Cq=3q3+200. Total capacity is…

Q: - 28. The first four Laguerre polynomials are 1, 1 - t, 2 − 4t + t², and 6 – 18t + 9t² - t³. Show…

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Q: 7. Compute the group of units U(Z). Is U(Z) cyclic?

A: Q. Compute the group of units U(Z12) . Is U(Z12)  cyclic? Sol. We first compute the group of units…

Q: 2. Calculate -330. Show all work. (Recall that o-330 = (0-1)330)

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Q: Determine whether the following sets are convex (1) {(x,y)=√x + √√]]l}

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Q: 12. Write the equation of an exponential equation whose base function is y=2* and has been reflected…

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Q: Q1 : a) A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied…

A: (a) We are given that             f(x) = -10x^2 + 5x - 15     on [-20,-18]    Then, as f(x) is a…

Q: 30 The function 25-1024+423-56 2² +32- has a zero in the interval (0, 1) (you should check this). 13…

A: f(0) = 05-1013×04+14×03-526×02+3×0-3013 = -2.30769 f1 = 15-1013×14+14×13-526×12+3×1-3013 = 0.980769…

Q: Compute the inverse Laplace transform of the following functions. -2s 2s³+3s²+2s+27 (s²+9) (s²+1)

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Q: 4. A portion of a street network of one-way streets is shown below. There are four intersections A,…

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Q: 15. A 150 gram sample of an unstable compound has a half-life of 27 days. How much of the original…

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Q: 1. Background: A company manufactures solid objects known as gizmoids made of variable density…

A: Ans-We are givenA company manufactures solid objects known as gizmoids made of variable density…

Q: actortise the expression: a^(2)+by^(2)+bxy +axy

A: Given expression: ax² + by² + bxy + axy

Q: f(x) = {x2 + 9, x < 2;        x2 - 3, x ≥ 2}

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Q: Question 3. For the curvey: R→ R³, y(t) = (2t, t², t³/3), (a) Compute the Frenet frame T, N, B,…

A: Given: The given curve is ?: ℝ→ℝ3, ?t=2t,t2,t3/3. To find: We have to compute the Frenet frame…

Q: 7. Which of the following is a transformation applied to the base function of f(x) = 6(8*-2) a. A…

A: Given transformed function fx=68-x-2-4 Clearly the parent function is  px=8x

Q: Sketch one cycle of the following graph and be sure to include an appropriate scale on each axis: y…

A: Given function: y=3 sinx-90° To sketch: The one cycle of the graph. Concept used: 1. Period of the…

Q: Use field II to sketch the graphs of the solutions that satisfythe given initial conditions. a) y(0)…

A: To use the given field to sketch the graphs of the solutions that satisfy the given initial…

Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = et, y = π - t Value t = 0 dw =…

A: The given function is w=xsiny, x=et, y=π-t and t=0. We have to find dwdt by using the chain rule.

Q: Let V be the vector space of functions spanned by B = {b₁ = 2 sin x + 9 cos x, b₂ = 4 sin x + 7 cos…

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Q: A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins, and 2568…

A: Given information: A diet contain at least 1596 units of carbohydrates, 2700 units of proteins and…

Q: Find the eigenvalues of A, given that A = and its eigenvectors are v₁ = 1 -0-0-0 A = 2 and v3 = 2 -1…

A: Given: It is given that A=136-84-24-3-1. The eigenvectors of the matrix A are given by v1=-1-11,…

Q: B-8-5. Given show that G(s) @² s² + 25ws + 0²/ G(jw) - 12/2 25 =

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Q: Let V be the vector space of all functions from  the real field R into R. Show that the set…

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Q: For the function f(x) = x-3 5x+9 (Enter your answers using exact values.) Rationalize the…

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Q: Let R be an integral domain and let a, b, c € R. Suppose that ab = ac with a 40. Prove that b = c._

A: Since, the image contains two different problems, according to the guidelines, I am solving the…

Q: what is the solution of the given integro differential equation (with use of laplace transform and…

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Q: Evaluate the ff: S ax 3x2 +12x+15 fo 3. 8xclx o x4-8x²+32 (1 + sinx) ax + 4. Find y if f/=/= (₁ +…

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Q: The compound amount, or future value, Sonia needs in 9 years is $14,000. Her investment will earn 6%…

A: The compound amount, or future value, Sonia needs in 9 years is $14,000. Her investment will earn 6%…

Q: ons athematical induction to prove the following. that for all positive integer n

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Q: A. Given the graph: th 1. The graph above has a zero with even multiplicity located at: 2. The graph…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: Problem #6: Make a change of variable, x = Py, that transforms the following quadratic form into one…

A: 4x12+4x22-12x1x2-2x1x3-2x1x4-2x2x3-2x2x4-4x3x4

Q: Given an m x n matrix A with rank(A) = r, what is the nullity of A? (a) The dimension of the…

A: Given an m X n matrix A with rank(A)=r, the nullity of A  If A is a matrix of order mXn, then Rank…

Q: Which one of the following is equal to fx³√3+2x4 dx? ○ (3+2x¹) ² 32 (3+2x¹) = 1 + c 40 40 10 (3+2x¹)…

A: Given:I=∫x33+2x44dx To Find: Evaluate the given integral.

Q: Find the length of the curve. r(t) = √₂ti+e¹j+e¹k, Osts4

A: The given curve is, r(t)=2t i+etj+e-tk. To Find: Length of this curve when 0≤t≤4. As per policy, we…

Q: Let y = x₁ = [7 5 10 and ū= -21 -4 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and ₂…

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Q: 1. f(x)=x²-4x+3, Xo=1.5 and Es-0.001 % (Newton Raphson) 2. f(x)=x²-4x+3, Xn-1=0, Xn=1.5 and…

A: As per the question we are given the following objective function : f(x) = x2 - 4x + 3 And we have…

Q: A choreographer is working with 15 dancers for a new Broadway musical.  For one routine, the…

A: Given that a choreographer is working with 15 dancers for a new Broadway musical. The choreographer…

Q: In the Cauchy-Schwarz inequality when exactly do we have equality? a. When is a multiple of O b.…

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Q: Obtain the general solution of the following differential equations. 8. (ysinx+xy cos…

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Q: In the following problem, a minimization problem, the corresponding dual problem, and the final…

A: Given minimization problem is ,  Minimize C = 15x1+36x2  subject to constraints  ,…

Q: ear differential equation y' - (sinx)y = 2sinx is:

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