3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector having the same direction as 3X -Y. 2

Q: Find the indicated vector. Let u- O O [314] 82 22 77 Previous Find -2u + 5v.

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Q: Consider the system 12x + 7y+ 3z=22 x+5y+z=7 2x+7y-112=-2 with initial guess (1,2,1). Using…

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Q: Consider an experiment that involves rolling a fair eleven-sided die four times. Assume that (i) the…

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Q: In Exercises 9-12, solve the lin the b's solve the systems toget Ma ond

A: 9. Given,                  x1-5x2=b13x1+2x2=b2

Q: 4. Consider the level curves for f(x, y) below 4321 0 1234 Determine the signs for the following…

A: To Determine: signs of fx , fy , fxx By observing the level curves. As per policy, we are solving…

Q: of c. Calculate the angle made with the positive direction x-axis by the vector (a) v= 3₁ + 4j (b)…

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Q: *x puld K 11x +4 。011

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Q: 8. Explain using a slope field which of the following graphs could be a solutio to the differential…

A: lets draw a slope field for dydx=x-y

Q: Determine whether the homogeneous system has nontrivial solutions by inspection (without pencil and…

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Q: Evaluate the following integral: f(1-e)dx d. Composite trapezoidal rule, n=4 e. Simpson's 1/3 Rule

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: Solve for x. All final answers must be in Zn where n is the modulus. x≡−12 mod 13

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Q: Determine whether the alternating series converges. Σ(-1)+1 k+1 10k + 1 k=1 O The series diverges. O…

A: To Determine: whether the series ∑k=1∞(-1)k+1k+110k+1 converges or diverges.

Q: (b) Consider the information given above. If the thirteen-sided die was fair (unbiased), then how…

A: Given that dice has 13 face and dice was fair.

Q: 1 Solve the following systems of equations by Gauss-Jordan method. 1. 3x + 6 y 3z = -2, 6x + 6y +…

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Q: a) The idempotents Of (Z6,0,0,) are ONLY 0, b) The number 161 is an irreducible element in Z[i] c) A…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: 7. So -y dx + x dy x² + y² G₁₁: x² + y² = 1 C₁ traversed in a clockwise direction. (b) Green's…

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Q: If a = $ .01, b = $ .02, c = $ .03, and so on, using this alphabet system, one of the days of the…

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Q: Given matrix A 1 -1 -3 4 -2 3 2 2 3 3257 ܢܬ ܪܬ ܚ -1 - -1 0 -1 2 Solve for [A].

A: Given matrix A=1-23-1-1220-325-143-12 Then…

Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

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Q: (b) What is the sample median of the six values above? 051 053.5 059 058.5 055.5

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Q: 7. Determine all solutions in the integers of following Diophantine equations: (a) 18r+ 5y = 48. (b)…

A: We have to find all solutions in integers of given Diophantine Equations and also determine all…

Q: 1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace…

A: By definition of linear span we know that The linear span of a set S of vectors is the smallest…

Q: Find a nonzero vector in Nul A and a nonzero vector in Col A. -5 -2 3 0 -1 A -2 -2 7 2 -1 0 -5

A: Given A=-5-23-10-10-2-2-572   To Find: a non-zero vector in Null(A) and a non-zero vector in Col(A).

Q: Solve the DE y" + 2y' + y = 0 using Laplace Transform when y(0) = -1 y'(0) = 1. Evaluate f (0)

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Q: of 35? Of

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Q: Q3) the following force balances: 0= k(x2-x1) +m₁g-kx1 0 k(x3-x2) + m₂g-k(x2-x1) mg-k(x3-x2)-kx3 0…

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Q: Charlie has 9 coins. Each coin is either a dime or a quarter. When Charlie lines up the coins in a…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: 1) Suppose we know that ƒ(¹)(4) = = (-1)^n! 3n(n+1) and the Taylor series of f centered at 4…

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Q: Evaluate the following integral: f*(1-e^³)dx d. Composite trapezoidal rule, n=4 e. Simpson's 1/3…

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Q: 2) The objective of this question is the transformation of a 2nd order finear differential equation…

A: The second order linear differential equation with constant coefficient can be transform to a system…

Q: Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department…

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Q: (y+8)² 121 (x+10)² 36 1

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Q: find the volume of the solid that results when the region enclosed by the curves x=y2 and x=y+2 are…

A: Given curves are x=y2 and x=y+2          (1) f(y)=y2 and g(y)=y+2 From (1)…

Q: 2 b. lf R = | | ² | and 5 = | 1 0 | find a number s 31 01 that R² = 2Rt cS a number c such C

A: Given : R = 1231  and   S = 1001. To find : A number c, such that  R2 = 2R+cS

Q: justification for your response. a. The eigenvalues of a matrix A are the entries on the diagonal of…

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Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: 5.61737 = A + B (0.1936) 5.29414 - A A + 3. 114166 = A (0-1936)-c² B (0.2601) (0-2601)-C2 B(0-3721)…

A: We need to determine the values of A, B, C using the equations. A system of equations can be solved…

Q: Select the range of the graph below. Select one: A. All nonnegative real numbers. B. All real…

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Q: QUESTION 6 If I have a simple discount note for 75 days (ordinary interest), a discount of $150, and…

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Q: f(n) ic recursive formula tic explicit formula ric explicit formula

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Q: Proof ) State the Green's formula. ) With the Green's formula, prove that the area of the plane…

A: 5a) Green's formula or greens theorem

Q: 18. Consider the matrices 2 1 27 Xx₁ A = 2 2 -2 and X = X₂ 3 1 1 X3 a. Show that the equation Ax = x…

A: Q18 asked and answered.

Q: Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C,…

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Q: 4. F = = Let c = (1, 1, 1, 1), c Find all x € (-∞0, ∞o) such (2, 2+x, 2, 2), c = (3,3,3 + x, 3) and…

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Q: If an employee worked in more than one province or territory during the year the employer should:…

A: Solution :-

Q: 2x + 3y + 6z = 3 + 2y + 2z = −1 using 3x - 4y - 5z = -6 B. Solve the linear system-x 1. Cramer's…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: 4. ** We saw a bijection B: NU {0} → Z B:NU{0} → Z n if n even B(n) = n+1 if n odd 2 (a) Complete…

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Q: 10. a. Express each column vector of AB as a linear combination of the column vectors of A. b.…

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Q: If I have a simple discount note for 75 days (ordinary interest), a discount of $150, and have…

A: Here, discount (D)=$150 Discounted value=$11850 Principal (P)= $11850+$150=$12000 Time(t)= 75 days…