Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

Q: Let x, y € R. Given that the vectors (xi - y, y + x, -yi) and (1 + ix, 0, x - -y) have unit…

A: let x,y∈ℝ , given that the vectors xi-y , y+x , -yi and 1+ix , 0 , x-y have unit magnitude , then…

Q: Explain why the function has at least one zero in the given interval. C f(x) = x² - 4 - cos(x) [0,…

A: Please find attachment below. Where I explain all these things.

Q: Consider the following. f(x, y) = x/y, P(6, 1), u=zi+ți (a) Find the gradient of f. Vf(x, y) = (b)…

A: Given: fx, y=xy, P(6, 1), u=35i+45j To find: a) The gradient of f. b) gradient of f at P. c) Rate of…

Q: (x) Job(z) (x) Bof(1) :puy's+xz = (x)6 pue x = (x)/(

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Q: 2) Find the homogeneous linear ODE for which the given functions are Basis. -2x -2x , N, = Xe ", y3…

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Q: Question 14 If a, b>0 the second degree polynomial P₂(x) =4+ 6(x− a) + (x− b) (x − 2) is determined…

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Q: Equation: y" - 2y' + y = 0 y = 2xe* b. y = x²ex a. On the interval (-00,00)

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Q: 2. Check that each given function is the general solution of the differential equation. (a) y" - y =…

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Q: 3 Evaluate Inverse Matrix A-¹ = -1 2 12 2 1 -1 1

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Q: -Use the difinition of error function Prove that: 5 ( 1₂2 ) = 5T let: ere (x) = 2 33 et de

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Q: Part C: A good estimate of the average household income in 2008 is.. Hint O $79,500 O $80,500 O…

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Q: 2) (D² +6D+91)y= 16e-3x x² +1

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Q: 3_ Complet X f(x) the 0 0.5 - following table : J 2.71828 1.5 1.75 5.75460

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Q: A cylindrical container has a volume of 150 cubic inches. The radius r of the container can be found…

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Q: 2. if √o = √T = 1 and √4 = 2 estimate √3 to by constructing Lagrange polynomial, then compare with…

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Q: Solve the partial differential equation t∂u/∂x−x∂u/∂t=0 with the initial condition u(x,0)=f(x),x>0.…

A: Hint:  First compare the given partial differential equation with the general form quasilinear PDEs…

Q: f sec (5x)tan (5x) dx 3 tan 5x + C A. B. C. 13 cos 5x + C 플 sec 5x + C D. csc 5x + C 5

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Q: Given the following region, set up the integral [ƒ ƒ R coordinates. Include all integral bounds and…

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Q: 2. if √o = √₁ = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, then with the…

A: Given: 2. 0=0, 1=1, and 4=2 To estimate: The value of 3 by constructing Lagrange polynomial.

Q: QI complet the table: X f(x) С 0.5 2.71828 1.5 - 1.75 5.75460

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Q: 2. Find the general solution to y': 3. Solve y dx - x dy = 0 as an exact differential equation, i.e.…

A: As Per Bartleby Answering Guidelines  We Solve Only First One Problem Solution - 2 :   Given that…

Q: f'(x) = = = = lim h→0 = lim f(x + h) = f(x) h→0 h - h lim h→0 . Ax + Ah - Ax > h lim h→0 h h…

A: We will show more steps to make it easier to understand

Q: 2 f(x, y) = x² + 3xy

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Q: Problem 1. The following function has domain (-1,0) U (0, ∞), −1+√1+x X f(x) = Make a table of…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: A. Solve the given problems: Show your solution. 1. Use Richardson Extrapolation to estimate the…

A: Using the Richardson's extrapolation, it can be written that: f'(x0)≈Nh2+Nh2-Nh3, where…

Q: 4. Solve the initial value problem. (a) x' = 1 t+8' x(1) = 0 (b) dy = 4e-2x, dx (c) x' = tsin t²,…

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Q: Solve the equation. The letters a, b, and c are constants. X= b+c b-c x+a x-a , c#0, a#0

A: b+cx+a=b-cx-a⇒(x-a)(b+c)=(x+a)(b-c)⇒bx+cx-ab-ac=bx-cx+ab-ac⇒2cx=2ab⇒cx-ab=0

Q: '= (x+y=2)², y lod=2 (sety/xu)

A: What is Initial Value Problem: An initial condition and an ordinary differential equation that…

Q: #1 Solve the systems of equation "manually" using Gauss Elimination (10%), Jacobi Method with 10…

A: Since you have posted multiple questions (i.e., three different methods), so we will solve only the…

Q: Al Q2/ Choose the correct By using fixed point method, which of the following formulas can use to…

A: The given equation is 3xex=1 on [0,1]. To Find: which of the following is the fixed point iteration…

Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 g. Z z-e³

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Q: 1. Use the tables to find the z transforms of the following d. e³n e. COS 3n f. sin4n

A: Note: we are solving the first three.

Q: Use the data given below to estimate f(3) by X 1 4 f(x) 2 5 62 Constructing: a. Linear polynomial b.…

A: The regression technique uses a data set to determine an equation such that the equation fits the…

Q: I need help on how to solve this problem? They are using patio blocks that measure 12 inches by 6…

A: Given:→ patio blocks measure = 12 inches by 6 inches→ the patio measure = 14 feet by 12 feet…

Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y" [1 + (y)²]- 3y'(y")² = 0

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Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A 000 1000

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Q: p rate per room is found by taking $2 off the base of $75 for each extra room rented. (a) How much…

A: I have showed every part in detail please follow next step to have an clear answer.

Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Introduction: Finding the time domain signal x(n) from its Z-transform X is known as the inverse…

Q: =y-z=9 #y-72=10 lect the correct choice below and, if necessary, fill in the answer boxes to…

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Q: Find theAB, if A= A. AB= B. AB= C. AB= D. AB= KA 15 -10/ 15] -4 10⁰ 15 10] 31 2. 4 -1 15 -4 10 [119]…

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Q: Write the symbolic statement in words. Use p, q, r, s, t, and u as defined below. p:    The tour…

A: Given : The symbols p, q, r, s, t, and u as defined below p: The tour goes to Italy. q: The…

Q: Identify the term containing the coefficient of x5, in the Binomial Theorem expansion of (2x - 5)12…

A: By the formula of binomial theorem expansion we can find the answer.

Q: o) +6x² + 5x + 30. q) 2³-102²-3x+15. p) ³3x² + 4x - 12. r) 2x³+x²10 - 5.

A: We need to write the following expression in multiplication forms  p. x3-3x2+4x-12  q.…

Q: y = c sinx

A: It is known that ddxsinx=cosx and ddxcosx=sinx. We need to eliminate the arbitrary constant: c from…

Q: ýt 29-ty-osinx

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Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

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Q: if f(x) = x²√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: Using Simpson method, find the values of A and B when h=1, Se (Ax² + 1)dx=40, and fi = 20. 3 eB 1

A: Simpson's Rule is given by:         ∫abfxdx≈h3fx0+4fx1+2fx2+4fx3+ . . . . +2fxn-2+4fxn-1+fxn…

Q: Use the difinition of error function Prove that: 5 ( 1²/₂2₂2) = 5T let: ere (X) = 3! dt

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Q: Solution- 0 +(x1 २ 4 X +(x1 2 S 12 62 0 2 We use How tom's divided difference here 3 25 1 5 6 2 4 62…

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