Is the set swer. {(1,2,-1,3), (1,-1, 2, 0), (-2, 0, 6, 6)} a basis for R¹? Justify your an-

Q: In between each step you take in the problem, could you please write a few sentences explaining it.

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Q: solve the follwoing, between each step explain in detail and then use detailed mathmatical formulas…

A: The objective of the question is to compute the Fourier cosine series of the function f(x) = 1+x,…

Q: 7. fast please Thank you.

A: A. 1   0  0  0     1   1  0  0     1   1  1   0     1   1   1   1B.x1=x2=x3=x4=0C.{(1, 1, 1, 1), (0,…

Q: 2. Find the period and graph the function. a) y = tan 4x b) y = tan 2 (x + c) y = 3 sec 2 (x πT 2 πT

A: Formula:Period of Since tan(x) period is  , so the period of  is          (  here b = 4 )Graph:

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Q: 2 30 Suppose S is spanned by the vectors and 2 3 3 2 Find two vectors that span S+: This is the same…

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Q: ider the (2kxy-6x)dx + (2x² - 2y)dy = 0, where k is a real number. If the given differential…

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Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

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Q: Determine the number of bit strings of length 8 that begin and end with a 1.

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A: i have solved the questions manually,see the attachments for explanation, i hope it helps, Thank…

Q: Question 1 ( a and b ) and q4 please!

A: We show that it converges conditionally..........

Q: 3. Prove that 3kN, Vn N, [n>k][1000m² + 10 ≤ n²]. Hints: you can divide both sides by n² and…

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

Q: 2. Solve the system using A-¹: 1+22+3x3 = 5 2x1+5x2+3x3 = 3 I1 +8x3 = 17

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Q: Assume that h: [a, b²] → R is a continuous function and let G : [a, b] → R denote the following…

A: Answer Explanation:

Q: 12. Let V denote the set of all solutions to the system of linear equations X1 X2 +2x43x5 + x6 = 0…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 5x2, y = x²+7 The…

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Q: 2. Consider the following network (G, w). V2 4 U1 1 U3 2 4 U5 2 07 2 2 V6 (a) Use Dijkstra's…

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Q: Compute phi(6^2 x 4^3). (Note that this is not a prime power factorization.)

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Q: 3. Prove that 3 € N, \n € N, [n > k] ⇒ [1000m² + 10 ≤ n³]. Hints: you can divide both sides by n²…

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Q: 3. Consider a network (G, w). Let c € R, and let m: E(G) → R such that m(e) = w(e) + c for all e €…

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Q: Maximize z = 4x1 + 17x2, subject to 5x215 4x1 + 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0.

A: Maximize  subjected to

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A: The heaviside unit step function u(t)={0t<01t≥0The equation for t<0, y″+8y′+15y=0The equation…

Q: 7. (a) Use Cauchy's Formula to show that 1 Sz-11=1z²²-1 dz = πi, 1 Sz+1=1 z²-1 dz = =πί (b) Using…

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Q: 1) Solve the differential equations + porta) cy 1++4=1 Part 5) 5/5 €²+1 = yt +26 part c) y du + x =…

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Q: me that h: [a, b] R is a continuous function and let G: [a, b] → R denote ollowing function, G(x)=…

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Q: What is the fourier series fox. 2t+1, if o<t<T t², if -π≤t so for the following function

A: We have to find the Fourier series of .Note: In the problem is given, it should be

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Q: 1. Find the convolution of (a) 2tu(t) and t³u(t) (b) e¹u(t) and tu(t) (c) e¯²tu(t) and e¯tu(t). In…

A: Let us recall  the  definition of convolution of  two  functions.Definition: Let  be  two peicewise…

Q: Suppose f: R2 × R² × R² → R was a 3-linear form on R² such that Compute f '(8·0·8) - 0, f (8.0·8) –¹…

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Q: Can you please help me out with this question. The problem that I’m asking to solve is if 15a + 12b…

A: No integral solution exists for the equation 15a+12b=7.Explanation:Step 1:To determine if the…

Q: Find a basis for the eigenspace of the eigenvalue λ = 3 for the matrix A = 4 2 3 -1 1 -3 2 4 9

A: We will find the basis for the eigenspace of the given eigenvalue.

Q: Q2. Find the inverse of 2 1 1 0 1 0 5 4 1 3 if it exists.

A: