Why did the x3 become the one to become t? how do i know what would i choose as the free variable?

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Q: If you pick a card at random from a well shuffled standard deck of playing cards, what is the…

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Q: Abe 21. ff sin²x dA, D D is bounded by y = cos x, 0≤x≤ π/2, y = 0, x = 0

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Q: A B Which of the following matrices is not in row echelon form? 10-1 02 2 00 01-1 00 10 00 00 0 01-3…

A: In given question, we have to find which matrix is not under row reduced echelon form.  Two criteria…

Q: 2. a. b. Let 7(x, y, z)=(y.-x+5y+z, 7z, y-2z) be a linear transformation. Find the matrix of T₁. 1…

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Q: Find x - Y J₂ (2 D dA, where D is the region in the xy-plane bounded by the lines x+2y = 2, (x+2y)²…

A: ∫∫Dx-yx+2y2dA where D is the region in xy-plane bounded by lines x+2y=2 , x+2y=4 , y=x-3 , y=x. To…

Q: Let S and R' be disjoint rings with the propertythat S contains a subring S' such that there is a…

A: Let S and R' be the adjoint rings with S containing  subring S', there exists -an isomorphism f' of…

Q: (A) True The matrices B) False -1 0 [21] and [1] L2 0 3 1] are row are row equivalent.

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Q: 1. Solve the Congruence x^5 ≡ 2 (mod 7)   2. Solve the congruence x^7 ≡ 10 (mod 23)   Show work…

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Q: Sketch a nice, neat hyperbolic paraboloid (saddle surface), and under your sketch, tell a special…

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Q: III) Are there positive integers x and y suct that x³ = 2² +15? (Hint: for every integer x, x³ 0, 1,…

A: We shall show that no such positive integers exist.

Q: > Let f(x, y) = 2x a) Express f(x,y)dA as i b) Calculate the integral. 8. ( as an iterated double…

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Q: The augmented matrix ear equations which has 1-2 1 15 00 0 2 represents a system of lin-

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: 2. Determine the Fourier series expansion of the periodic function f(x) f(x+2) = f(x), x E R. Use…

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Q: Use appropriate formulas from geometry to evaluate the integral S 16x5|dx. Write the exact answer.…

A: The given integral is: ∫01|6x-5|dx

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Q: The flow of lava from a volcano can be modelled by the function /(t) = 12(2– 0.8¹), where / is the…

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Q: 12. Maria is working on the multiplication problem 38 x 25. Maria says, 4 times 25 is 100, so 40…

A: Maria's method is incorrect.

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Q: (A) 3 (B) -5 5 (D) -3 -4 -3 -3] 6:1 1 0 1 4 4 X What is the value of x so that A = adj(A) ? Consider…

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Q: The graph of y = 8x - x² and the line y = 7 for 0 ≤ x ≤ 7 is shown. 18 16 14 12 10 8 6 4 2 0- -1…

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Q: Prove using the short north-east diagonals ↗ or any other mathematical method of your preference,…

A: The given in the question is that A is an enumerable set, and the objective is to prove that A is…

Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: 2. Consider the series: S=4 4 4 4 4 4 + 3 5 7 9 4 1/3 - + + (-1) ²₁ (12 4 2n-1 11 13 ♡ In this…

A: The series is given as Sn=4-43+45-47+49-411+413-. . . +(-1)n42n-1. Also given that as n→∞, the sum…

Q: 0 -8 -4 -4 (a) The eigenvalues of A are λ = 3 and λ = -4. Find a basis for the eigenspace E3 of A…

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Q: 77 Let D be an ellipse rotated counterclockwise by radians, as pictured below. Before rotation, the…

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Q: 8. Given the matrix B= 1 1 1 111 Which of the following matrices solves X in the matrix equation X +…

A: 8) Given matrix B is

Q: 1+3+5++ (2n + 1) = (n + 1)².

A: We have to prove the given result and we will do it by mathematical induction

Q: Let S and R' be disjoint rings with the property that S contains a subring S' such that there is an…

A: Let S and R' be the adjoint rings with S containing  subring S', there exists -an isomorphism f' of…

Q: An individuals utility function is given by U = 900x₁ + 500x2 + 6x₁x2 − x² – x²/2, when the weekly…

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Q: Sketch the graph of a function that satisfies are the given conditions. f'(x) > 0 if x #2 • f"(x) >…

A: The function has the following properties, f'x>0 if x≠2 f''x>0 if x<2 f''x<0 if x>2…

Q: A B (C) 1-2 -3 15 2 represents a system of lin- 0 00 0 The augmented matrix 0 ear equations which…

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Q: and the x-axis on the interval [1, 5] using the right endpoints of the 11x Use four rectangles to…

A: Function, fx=511x, x-axis.Interval : 1, 5

Q: Question 1. Let G = Z₂0 and H =, the subgroup of Z20 generated by 5. 1. What is |G:H|? 2. Find all…

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Q: Use the properties of the definite integral to find ľ round. If it is not possible, write NP for…

A: We are given that           a∫b f(x)dx = 4           c∫b f(x)dx = -1     => a∫c f(x)dx = a∫b…

Q: t 92 + y² b = Tab JE. ( 7 )= (910)+), £€ [0, LT] bomt

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Q: 15 and the x-axis on the interval [3, 7] using the left endpoints of the Use four rectangles to…

A: For the area under the curve y = f(x) from x = a to x = b, if we partition the interval (a, b) in n…

Q: t 0 24 6 8 f(t) 34 6 12 20 (a) Estimate eff(t) dt using the right-hand sum. (b) Is your answer in…

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Q: Let g(x) = f(x)² g'(x) where f(x) >0 for all x. First- and second-derivatives for g are given below:…

A: gx=1fx2g'x=-2f'xfx3g''x=6f'x2fx2-2f''xfx3fx3 fx>0, ∀x

Q: Determine if the subset of R³ consisting of vectors of the form Select true or false for each…

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Q: 1. Consider the following vectors in R³: (@ Which of the following equals |||||| + (7 · Ý)Z||? 7= 3…

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Q: Solve the following DE: Consider the following equation. (2x²y)y=r³ + 2y³

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Q: For the demand function Q = 800 - 6P +2A² – 0.005Y² where P is the price of the good, A is the…

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Q: Traffic flow measures the number of cars that pass through an intersection per minute. It can be…

A: Traffic flow is modelled by the equation f(t)=10+8 cost3 for 0≤t≤15, where f(t) is measured in cars…

Q: A colony of ants starts with an initial population of 50 and doubles every week for 2 months. a)…

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Q: Determine whether the series converges or diverges. Since ak = for all k > 46 ln(k) k and since br.…

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Q: Evaluate the double integral 1, "cx f(x, y) dA over the polar rectangular region D. 2r D = {(1, 0) |…

A: We know, in polar co-ordinates (rectangular to polar co-ordinate transformation),        x2 + y2 =…

Q: A county park system rates its 26 golf courses in increasing order of difficult as bronze,silver or…

A: Given that  A county park system rates its 26 golf courses in increasing order of difficult as…