Consider the vectors v1 =[-3 2 -1], v2= [-18 15 -15], v3= [3 -3 4] Find if vectors are linear independant? If not find a dependence relation between the vectors than find what v2 = and v3=

Q: Answer the following questions for the poset (3, 5, 9, 15, 24, 45), I). The least element of the…

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Q: x²y" — 5xy' + 8y = 8x6, y(z) = 0, 3 y 2 2

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Q: Prove that C is not the splitting field of any polynomial in Q[x].

A: In this question, we have to show that ℂ is not the splitting field of any polynomial in ℚx. We know…

Q: Consider the dynamical system Vk+1 = AVK where 010 Vo and A 0 0 1 31-3 Find a formula in terms of k…

A: Given: A dynamical system define as Vk+1=AVk. Initial Value V0=706 and matrix A=01000131-3 To Find:…

Q: Given A and b, find the following. 1 3 1 0 -1 2 and b = -1 2 -2 -2 (a) Find the normal equations…

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Q: .... and y Q6: f(z) = 62² - 27- 4i|z| is differentiable only when x = ......

A: The given problem is to check at what values of x and y the complex function is differentiable.

Q: 74 +4 Z Show that the Complexfunction f(z) = Z(Z-21) havearemovable discontinuity at z=2₁

A: The given problem is to show that the given complex function f(z) have a removable discontinuity at…

Q: Two angles are supplementary if the sum of their measures is 180°. Find two supplementary angles…

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Q: n+1 - 1

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Q: heights. The graphs below show level sets for six different functions, where the red areas represent…

A: (1) fx,y=1-x2+y2 Diagram C→1 (2) fx,y=1-x2-y2 D→2 (3) fx,y=e-x2+y22 F→3 (4) fx,y=lnx2+y2+.1 E→4…

Q: X y 41.4 -345.4 24.2 -501.1 33.6 255.3 35.1 645.1 48.3 1159.1 37.5 411.5 40.3 -446.1 44.1 513 41.1…

A: Correlation Coefficient: X Y X - X (X - X)2 Y-Y (Y-Y)2 (X-X)(Y-Y) 41.4 -345.4 -6.293 39.60185…

Q: Problem 8. Determine which of the following are linear maps. Prove your answers. (a) T₁: R² R²…

A: Due to bartleby policy we have to do first three sibpart of the given question

Q: stinct parts.

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Q: 4. A-kg object stretches a spring with stiffness 18 N/m and damping coefficient kg/sec. There is no…

A: y"+2λy'+ω02y=0,   y0=y0, y'0=v0yt=e-ω0ζtc1cosω01-ζ2t+c2sinω01-ζ2tζ=λω0c1=y0c2=ζω0y0+v0ω01-ζ2 Given…

Q: A grocer wants to mix two kinds of candy. One kind sells for $1.40 per pound, and the other sells…

A: Here the first type of candy sells for $1.4 and the other sells for $2.55. Now when he mix them into…

Q: Let S(t) be the number of daylight hours on the 7th day of the year in Los Angleles. We are given…

A: Given :  Day t s(t) January 7 7 10 March 14 73 12 May 3 123 13 July 18 199 14…

Q: Compute the product (123) (345) in the group S5. Compute the product (345) (123) in the group S5.…

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Q: (i) State the cancellative law in a group G. (ii) Give the definition of the group GL2(R). iii) Give…

A: A group G, * is a set G together with binary operation * satisfies the following properties. Closure…

Q: 6) Find dom (R), range (R), R-¹,RR,R relations: (a) R = {(x, y) |x, y E N and x divides y}; (b) R =…

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Q: 2 (2 x y1) dx + x²dy =0 where y(1)=

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Q: +2³- 3. Prove that 1³+ n = n²(n + 1)² 4 for every positive integer n.

A: To prove : 13+23+33+43+…+n3=n2n+124 for every positive integer n.

Q: Suppose Ax = b and Ay = b* are both solvable. Then Az = b + b* is solvable. What is z? This…

A: It is given that Ax=b and Ay=b* are both solvable. This implies that b and b* are in the column…

Q: Solve the equation. 2x + 5 x+13_ x+8 + 9 9 6 = What is the solution set? Select the correct choice…

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Q: Find the absolute extrema of the function f defined by f(x) triangular region R with vertices (0,…

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Q: Consider the following argument: If A, then B. It is not B. Therefore, it is not A. Which of the…

A: We have given an argument, If A then B. It is not B. Therefore, it is not A. Symbolically we can…

Q: A lamina in the shape of the region enclose by the parabola y² = 2 - x and lines y = x + 4 and y =…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Problem 2. Vectors V₁ = (4,6,7), V₂ = (0,1,1) and V3 = (0,1,2) form a basis for the vector space R³.…

A: v1=4,6,7, v2=0,1,1, v3=0,1,2u1=1,1,1,  u2=1,2,2, u3=2,3,4 Therefore…

Q: 18. How many different equivalence relations are there on the set {a, b, c, d]? O 15 O 12 O 14 18

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Q: Note: This problem has an example student explanation in the Feedback. (a) Complete the table below…

A: The limit of the function is a number which the function attains when the variable approaches its…

Q: Below is a golden rectangle. Which of the expressions below represents the area of the largest…

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Q: 2. (3 points) Find the Laplace transform of each of the following functions: (a) f(t) = (t² + 1)U (t…

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Q: If 1700 dollars is invested in an account for 10 years. Find the value of the investment at the end…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Given: A directed graph and statements as, (a) Since an edge (y,x)  is present for all edges (x, y)…

Q: 2. (a) Let A be a square matrix of order tv 11 with the corresponding and V = Find exponential…

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Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). S √ 2(x +…

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Q: Given the graph of the function f(x) below with 4 subintervals, write down expressions in terms of ƒ…

A: Given the graph of f(x) with 4 sub-intervals. Let ∆x be the length of each interval. We observe the…

Q: - Find the solution of the initial value problem y (²) — 2y(¹) + 5y = x, y (1) = 2, y(¹) (1) = −1;

A: This is a linear differential equation with constants coefficients .To solve this  problem we use…

Q: Find the coefficients of the Fourier cosine series for f(x).

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Q: A bank features a savings account that has an annual percentage rate of 2.9 % with interest…

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Q: 4. Consider f(x) = sinr. If f(x) is interpolated by p2(2) polynomial with the nodes {-7.0, }, the…

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Q: 3. Consider the following propositions: p: 2 is the smallest prime. q:6 is a perfect square. Use…

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Q: GCD and LCM of 56,122, and 128

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Q: Find the change-of-coordinates matrix from B to the standard basis in R². -5 1 •(3][4]} - PB B= -188…

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Q: 12 1 3 4 Let = b₁ = LMTA | 2 | 3 | D | - | - - - - - - - - |-| b₂ = b3 = and = 7 16 -3 19 18 a. Find…

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Q: If $1,000 is invested in an account for 30 years. Find the value of the investment at the end of 30…

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Q: = 2 Consider the Lissajous curve with m = 1, so a(t) = (cos t, sin(nt)) for n € N. For n and n = 3,…

A: please find the attached image.

Q: A model for the length of daylight (in hours) in Philadelphiaon the th day of the year is given by…

A: For a function: y=f(t), the dependent variable is y and the independent variable is t. The value of…

Q: xy" + 3xy' = 0,y(1) = 0,y'(1) = 4

A: Given differential equation is x2y''+3xy'=0 , y1=0 , y'1=4. To Solve the above differential equation…

Q: 1. Let X and Y be topological spaces. Prove that a function f: X → Y is continuous if and only if…

A: Theorem used: Let X and Y are topological spaces. The function f:X→Y is continuous if and only if…

Q: 6

A: Consider major four threshold frequencies 500 , 1000, 2000, 4000. Frequency Left ear Right ear…