Find a basis of the given subspace by deleting linearly dependent vectors. span of

Q: Find valume bounded by abave Z:4-20 and below by Z-xy 2.

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Q: Given the following sets: U=(set of real numbers) %3D A = (x| x is a positive real number) %3D B =…

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Q: 31 Let V1 = V2 V3 V4 -1 For what value of t is the set {V1, V2, V3, v4 NOT a basis for R? Previous…

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Q: I. Evaluate the following integrals. 1 1. d.x * ¤(9 – In? x)5/2 -

A: We can solve this using substitution method

Q: Determine whether the following series converges or diverges

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Q: * In(tan-1 x) da 1+ x² CS

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Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

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Q: You are given the data points (xi, Yi) for i = 1, 2, 3: (2,5), (1,9), (2,9). If y = a + Bx is the…

A: Given: A data points 2, 5, 1, 9 and (2, 9). To find: The equation y=α+βx by least square line that…

Q: SntXn stx

A: We have to test the convergency.

Q: Find area insider= 14GsG out side rE1-asG in hrat quarter-

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Q: You are given that B = {1+x, 1 – x², x + 2x?} is a basis far P2 and [p (æ)]g = 3. If p(x) = a + Bx +…

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Q: Question 30 Consider the linear transformation T : M22 → P2 given by a T ) = (a +ŏ+e+ 5d) + (a + b…

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Q: 3. Find the work of the vector field F(2, y, ) = yi along the curve which is obtained as the…

A: To find the work of the vector field Fx,y,z=yi along the curve obtained by the intersection of…

Q: (i) Use the IVT to show that there is some number t in (1, 2) such that 3(t? +1)? = 20t. 1. Use part…

A: Let us solve the Intermediate Value Theorem  related problem and The Mean value Theorem related…

Q: sin?(0)d0 here was (theta/4) – (sin (2theta)/8) + c which is wrong as I try to derive it and it…

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Q: Given: sinx = (-1)" (2n+1)! -x²n+1for x ER (-1)"(2n+1) y2n+1 Compute the exact value of the sum E=0…

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Q: Let f(x) = sin(x). Suppose that h and k are two functions such that W (x) = cos(x), k'(x) = f(x +…

A: Let us solve the differentiation and integration based problem in the next steps.

Q: 온 de ans.

A: Answer is =1/15

Q: - 6х -Зу +5z 50 —Зх -2у -4z бх -3у —4z -34 = X = y = z =

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Q: If 21 = 22 = 23, 24 = 25, and mz4 = mz3 + 10°, What is m25? m25 =

A: Given that: ∠1≅∠2≅∠3, ∠4≅∠5 m∠4=m∠3+10o To find: m∠5

Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8. 0 3 to eigenvalue 8 is 2,…

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Q: 1.5 (3-x Q1) Evaluate the integral dy dx using polar coordinate

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Q: 3. Given the initial-value problem 2 = -y +a?e", +x²e*, 1< x < 2, y(1) = 0 with exact solution y(x)…

A: Given that y'=2xy+x2ex, 1≤x≤2, y2=0 with exact solution yx=x2ex-e

Q: e table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing…

A: Given, Time(s) Velocity (mi/h) 0 183.7 10 168.8 20 107.4 30 100.6 40 125.3 50 176.9…

Q: Question 15 You are given the data points (i, Yi) for i = 1, 2, 3: (2, 3), (1, –8), (2,9). If y = a…

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Q: (x² + y³ )dx – -dy= 0 The equation xy O Linear O Bernoulli Homogeneous O Separable 1st order ODE O…

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Q: Let A be a 2 x 2 symmetric matrix satisfying A = 12 and 3 with the spectral decomposition le A = 12…

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Q: You are given the data points (*i, Yi) for i = 1, 2, 3: (2, 3), (1, –8), (2,9). If y = a + Bx is the…

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Q: 1. Let f be defined on an open interval (a, b) and assume that f has a local maximum or a local…

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Q: Question 4 1 V2 = 1 1 V4 = 1 Let V1 = V3 = 1 4 | 1 8 For what value of t is the set {v1, V2, V3, V4…

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Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

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Q: Solve D. E y %3D

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Q: Q1) Evaluate the integral dy dx using polar coordinate

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Q: 2 1 Let S = 1 1 3 Which of the following statements describes the set S? The set is linearly…

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Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table.

A: Given, t(s) 0 12 24 36 48 60 v(ft/s) 32 28 24 22 24 28

Q: How %3D ne

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Q: ーツ

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Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

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Q: salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: d'N Solve t? dN -21- -+2N t Int di? dt

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Q: Determine Z-transform for the following sequences: a) x[n] = (÷)"(u[n] – u [n – 1])

A: Z-transform Solution a: Given x[n]=12nu[n]-u[n-1] Since we know Zun=zz-1 and Zun-m=z-mzz-1 So…

Q: Question 2 3 Cansider the arthagonal basis B: of R 5 Let U = -64 15 If [v]B = 6|. what is the value…

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Q: A linear systje is defined by the following equatiosn, -1 -x1 + x2 – x3 2.x1 + 6x2 – X3 6x1 + 5x2 +…

A: The given system of linear equations is ,       - x1 + x2 - x3 = -1…

Q: Find the harmonic conjugate of the following function: u(x, y) = e*cosy + x2 – y2

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

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Q: 3- Vn -) Σ Vn3 n=1

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Q: Find vahune frome above ZVy-xy, below Z.0(Xy plane) inside xy'el 3.

A: Volume bounded by xy-plane

Q: Question 28 Consider the inner product space (P2, (,)) with the inner product (p(t), q(t)) =…

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Q: dx 2. 2x + 2y dt dy = x + 3y dt

A: Since all the questions are different. So as per our guidelines, we are supposed to solve only first…

Q: Consider the vector-valued function F(2,) = [xy² + 2ye* х, у y 3xe-y Which of the following are NOT…

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