t Let u = t and W = Span 3 -2 For what value of t is the vector u orthogonal to W ?

Q: Determine whether the following series is convergent or divergent 3- Vn ( a) Σ Vn3 n=1

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Q: (4-x)". /n 00 n+5 9n : 7" n=1

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Q: orm y(t) = 4e-2cos

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Q: Question 20 2 0 0] Let A = |0 0 4 1 4 1 Which of the following statements is TRUE about the…

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Q: 2. Using partial fraction method, find L-'[a DG ]. s+2 s(s-1)(s-4).

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Q: a/ using the test comparing the ひsinas 8. series Enas n?_2n-3

A: This is a problem of series.

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: 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: Question 14 Let B = {b1, b2} and C = {c1, c2} be two bases for R, where [1 2. b1 b2 3 > C1 13 C2 =…

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Q: +00 22n Σ (2x 1)". Vn2 +1 onsider the power series n=1 1. Use alternating series test to show that…

A: Alternating series test Let ∑n=1∞an be a series and either an=-1nbn or an=-1n+1bn where bn≥0 for all…

Q: What is the minimum number of edges for a spanning tree for this graph?

A: The given problem is related with graph theory. Given a graph. We have to find the minimum number of…

Q: (3) Solve the initial value problems in Exercises dy 1. y(4) = 0 dx 2Vx ds = 1 + cos t, s(0) dt 2. =…

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Q: f(t) = et+1 cos t. f(t) = eat43/2_ f(t) = eat cos 3t.

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Q: Evaluate the Inverse Laplace Transform F(S)=T51)² -2

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Q: e2x dx 1. Зе2x+1 2. sinx dx 1 3. cos 2x

A: As per bartleby guidelines we are supported to answer only first three subparts,  kindly repost…

Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(3x + 6) and let B = {1, x, x²}. {1, æ, b c a If [T]B = d…

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Q: (-1)" Consider the series expansion of the cosine function cos(x) = )) -x2n for all x € R. (2n)! n=0…

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Q: Show that if x is an integer, then gcd(x + 1, x2 – x + 1) divides 3. -

A: First, we find gcdx+1, x2-x+1 Now, factors of x+1 are x+1, 1 x2-x+1 is a quadratic equation of the…

Q: Find the value of a + b + c + d. (Answer must be an integer) The Differential Equation 2y"' + 3y" –…

A: Let us consider a differential equation L(D)(y)=Q(x) Determine the complementary solution by using…

Q: Г2 0Т Г26 For A = |1 3 and b a least-squares solution of Ax = b is 1 51 . What is the least-squares…

A: A = 201331,  b = 2600,  x^ = 5-3 Least square error (e^) = ||b-Ax^||  Now, first find the value of…

Q: Question 23 Let H dimH? Span{1+x, 1+a, 2 + a + x2, 3 + 2x + a}. What is

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Q: EXERCISES 2: Find all the local maxima, local minima, and saddle points of the functions f(x, y) =…

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Q: Example 7 Sketch the curves (a) r 1 (b) @ = 4. %3D in polar coordinates.

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Q: Q3) Evaluate triple integral f dz dx dy. 『ェーy

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Q: PLEASE ANSWER NUMBER 3 MATH 221 : PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT…

A: Solution 3: Given system of linear equation is 2x1-x2+0x3=2x1-3x2+x3=-2-x1+x2-3x3=-6 with initial…

Q: Suppose f is continuous on the interval (0,3). Assume further that f(0)= -2 and f(-3)= 5. Also, lim…

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Q: 2. Use the met hod of undet er mined coefficients to solve t he syst em x' = Ax+f, where b. A = f(t)…

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Q: Sheet 3 Numerical analysis QI/ Use the polynomial that fits data shown by Newton divided difference…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. if || f|| = 4, ||| 5 and || f…

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Q: Question 24 If A = (aji) is the matrix of the quadratic form a? + 2x% + 2x3 + 6¤1x2 – 22x13 – 8x2x3,…

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Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Area of the surface given by the equation z=fx,y is given by S=∫∫A 1+zx2+zy2 dA where A is the…

Q: Ans feer- Given: ftt 1 -1 Obtam the Fruries Seriesi Ans: fee= TT 2nt1 Find; ab

A: The solution is given below. Hope this helps.

Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R?, where 31 b1 b2 C2 7 3 10 22 b] what is the…

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Q: Question 20 2 0 0] Let A = |0 0 4 1 4 1 Which of the following statements is TRUE about the…

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Q: 1 List the elements of each of the (a) The set of integers between 1 and 50 that are divisible by 8…

A: a) Set of integers between 1 and 50 that are divisible by 8 is: S=8,16,24,32,40,48

Q: Find out if the improper integral converges or diverges. If the given converges, find its value.…

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Q: Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii) dim(ColA)-…

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Q: [1] Construct a 2 × 2 symmetric matrix A such that A 3 and -2] -2 8 a11 012 If A = a21 then the…

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Q: 10 You have carried out an experiment to investigate the effect of the length of a pendulum on the…

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Q: The locations of a spider (S) and its prey (P) are shown on the box below. The pider is on the front…

A: We will place the box on xyz co ordinate system , and then find co ordinate of points S and P .…

Q: Q3) Evaluate triple integral f " dz dx dy. ェーy

A: Given Triple integral is ∫02∫0y∫x-yx+ydzdxdy

Q: 1 3 01 a Let A = 1 5. If 6 is in NulA, -1 4 -7 [2 | then the value of a is and the value of b is

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin +1 in…

A: Here we use double integration to find the area.

Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R“, where bị b2 3 3] C1 3 C2 22 a If the…

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Q: cos?. z=1 s divergent or convergent?

A: Given series is ∑z=1∞cos2πz

Q: [4 1 1 1] 4 1 1 You are given that the eigenvalues of A = 1 1 are 1 4 1 1 1 1 4 7,3, 3, 3, counting…

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Q: А - (BUC) — | (А — В) UC (А — В) U (A — С) | О Оption 4 Оption 1 (А — В)n (A — С) (А — В — С)

A: 1. As by distributive property A - (B ∪ C) = (A - B) ∪ (A - C) Hence Answer: Option 1 (A - B) ∪ (A -…

Q: [8 1 3 7] 0. 5 k 4 Let A . If the dimension of the eigenspace corresponding 0. 0 8 5 0 3 0. to…

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Q: Check the result by using the related exponential form.

A: As you asked only question (3) so , I answered here only for subpart (c)