A cubic equation f(x) = 0 has one real root a and two a, ß+iy and B-iy respectively on the Argand diag

Q: Based on known series, give the first four nonzero terms of the Maclaurin series for this function.…

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Q: A smooth vector-valued function R(t) satisfies Ŕ(1) = (–3,7,9), Ř'(1) = (0,5,6) and R″(1) = (4, 1,…

A: Given that: R1=−3,7,9 R'1=0,5,6 R''1=4,1,−2

Q: Make example about  matrices and determinants method

A: Solution:- Matrices are the ordered rectangular array of numbers, which are used to express linear…

Q: Find what value of c does f&dx = 1? с Answer:

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Q: p²/ f(x)= x²³_ +|x x +2. show that f(x) & between хбо a root has 1.4 and 1.5.

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Q: Consider the four statements (a) 3r ER Vy ER (b) Vr ER By R (c) VER Vy ER (d) 3r ER Vy ER 1. Are the…

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Q: Q₁: (A) Let R=(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a…

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Q: 5. If u = f (y + ax) + ( (y - ax), then to อิน น อน (a) ay (b} 2 ay (c) −a? (d) a สิน 2 ay? 2 a อน…

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Q: * Each series converges. Show why, and compute the sum. Ση 12 [η2 + 4η] ? η=1

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Q: Consider the constrained optimization problem: min f(x), subject to ||||₁ ≤ 1. We apply a projected…

A: Let x = (x1, x2)

Q: b) Consider the differential equation Find the following. (x + 1) y" + (2x + 1) y' - 2y = 0. (1)…

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Q: 1. If f(x) = 5x4 - 6x² + 4x2 find f'(x) and f'(2).

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by grouping the…

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Q: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5800 lb of…

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Q: rumour quickly spreads among the students at school. After days, the number of students who have…

A: Note: The first derivative of a function at a given point gives us the instantaneous rate of change…

Q: aplace transform for L'" (ett (e4r + cosh 2t)dt

A: Laplace transform of the function

Q: Find the negation of the following statements: 1. Any rectangular triangle has a right angle. 2. In…

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Q: HW-4 Find f'(4.8) and f"(2.2) for the following data in the below table. @ Find I fixidx X 0 1 2 3 4…

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Q: (.) I ху ff. f(x y). d) xerc find fr, fo التاريخ

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Q: 6. k=\ K 2 k^ + \

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Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

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Q: You have 14 presents to give to your 3 kids. How many ways can this be done if: a. The presents are…

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Q: Supppose A is an invertible x n matrix and is an eigenvector of A with associated eigenvalue-2.…

A: Here we use the properties of eigenvalues of matrix to answer the appropriate question as below.

Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) , t> 0, 0<x<1,…

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Q: Use Laplace transform to solve the partial differential equation: o'y dy ox² at +xl where y(x,0) =…

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Q: 1. The blood glucose level (L units) of a patient t hours after the injection of a certain kind of…

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.…

Q: Use separation of variables method to solve: ди ổn ôn + =u where u(0, y) = 0 and ду Əx² du(x,0) ду =…

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Q: Let W be the set of all vectors of the form with r, s and treal. Find a matrix A such that W =…

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Q: Q3/Find the value of x If the approximation of the integral ff(x) dx by trapezoidal method is given…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: 3. Express the given integral as the limit of a Riemann sum but do not evaluate: So (x³ - 6x) dx.

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Q: How many 7-letter words contain exactly 2 vowels? (For example, an 8-letter word with 5 vowels is…

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Q: Exercises: Find the Taylor series for the function at point T a = f(x)= cosx , ● f(x)=√x a = 4 f() =…

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Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: For any non-negative integer m show that In [x2m] is a polynomial in n of -degree m with integer…

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Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

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Q: Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify…

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Q: 2. The personnel department of a particular company has observed that 20% of the people the company…

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Q: Please explain Compute the GCD (The Euclidean Algorithm for finding) of the following 1.…

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Q: S 5 1 1

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Q: Showing your working, use Shanks' Baby-Step Giant-Step algorithm to find a power x such that 3x = 11…

A: I will first write down the algorithm used in the above question.  Baby steps: Suppose we want to…

Q: ermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal

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Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

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Q: The matrix has eigenvalues -4, 1, and 3. Find its eigenvectors. The eigenvalue -4 has associated…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: Find a non-zero vector V in the row space of the matrix -20 4 0 -9 -3 12 -5 0 25 -12 -4 16 V

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Q: Finn looks at a map of 4G mobile towers in his area. There is one at Hollingworth Hill and another…

A: Gievn:   Finn looks at a map of 4G mobile towers in his area. There is one at Hollingworth Hill and…

Q: 3 (a) So 4√3x dx √3x-x² 2

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Q: 4. To lease a new car worth $19995, a customer agrees to pay a $3000 down payment and 48 monthly…

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Q: If u = cos (x + y) + cos (x-y), then which of the following are true? อิน d²u 2 ay (b) I and II only…

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