Find the angle between vectors v=(1,1,1,-1) and u=(1,3,1,-1) ал Write the answer as a/b for the angle b

Q: Use the fact that matrices A and B are row-equivalent. 2 1 0 5 1 1 1 A = 3 7 2 2 -2 10 22 8 0 4 1 0…

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Q: if m varies directly as n and the square of r and inversely as s if m 40 when n = 5 r = 4 and s = 6

A: Let us consider the statement a is directly proportional  to b means a∝b To make the equation use…

Q: Use Dirichlet's principle with n = 10 to find a rational approximation of T.

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Q: Evaluate the approximate value of f (2æ² + 2) dæ at n = 3. Solve also for TV and percentage of…

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Q: 4. Give the ratio of vowels to consonants in the alphabet

A: As per the policy first question that is 4 is solved. Please repost and specify which question is to…

Q: Which of the following statements is true: For all integers a, b, and c, a | be if and only if a | b…

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Q: Use the tables of Laplace Transforms to find the inverse Laplace Transform: F(s)= 2(s-De?S s²-25+2…

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Q: 7. You have carried out an experiment to investigate the effect of the length of a pendulum on the…

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Q: 1) For each of the following statements, (1) write the statement informally without using variables…

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Q: In a box of stones, the ratio of red marbles to total marbles is 2:5. The ratio of green stones to…

A: Given: Ratio of red marbles to total marbles=2:5 Ratio of green marbles to total stones=3:10 Total…

Q: Find the eigenvalues A, < A2 < dz and associated unit eigenvectors i1, ü2, ūz of the symmetric…

A: Eigen values corresponding to eigenvectors

Q: The steady-state temperature, u(x, y), across a thin rectangular plate is governed by the following…

A: The given problem is to find the general solution for the given partial differential equation with…

Q: Strang 4.3.28) Suppose that the columns of A are not linearly independant. a) Explain why P = A(AT…

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Q: Question * The cube of any integer may has the form: 9k + 8 9k + 7 This option This option 9k + 6…

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Q: Find the solution. (y - cos?x)dx + cos x dy = 0 (A x (cos x + cot x) = cy + y - cos y (B y (sec x +…

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Q: SYSTEMS OF ODES Using the Laplace transform and showing the details of your work, solve the IVP: 2.…

A: Solution of system of differential equations, using Laplace transferoms

Q: Find the third order derivative of y = In(cos(2x))³. A. y' = -40sec² (2x)tan(2x) B. y' = -80sec?…

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Q: An indicator function of the set A is the function on N given by j1 if w e A 1,(w) = {o_if w € A so…

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Q: Find the solution. y'-y =y?e* C+x y = y = C+x e* D y = с -х

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Q: From the Laplace Equation show that there exist solutions in the form X(x) +Y(y) + Z(z)

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Q: A OCrermine if the ff. are continuous at a given value bf x 1FCX) = 3X† +2x +| at x=-2 %3D 2. F(X)=…

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Q: 6. Find the value of x, y and z using Cramer's Rule and Gauss-Jordan Method. X+y+z 12 2x + 5y-3z 6…

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Q: 5x1 -4x2 +2x3 +3x4 = +x2 +3x3 +3x4 3 -11 +12 3 4x1 -3x2 +5x3 +6x4 = -2x2 -6x3 -674 -623 -6 211

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Q: ith A = fx; y; zg, let f; g :

A: Given,   A=x, y, z and  f, g:A→A given by                     f=x, y, (y, z), (z, x) and g=x, y, (y,…

Q: 12. (Strang 4.3.1, 5) Consider the four points (t;, b;): (0,0), (1,8), (3, 8), and (4, 20). (a) Set…

A: Given the four points ti, bi:  0, 0, 1, 8, 3, 8 &amp; 4, 20 (a) we have to set up and solve the…

Q: Define the function zlm(z) z +0 f(2) = Z = 0 1. Prove that f is continuous at the origin. 2. Prove…

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Q: e-iw 3. 2 + iw

A: The given problem is to find the inverse Fourier transform of the given function. Given function…

Q: Question 1 Given the double integral || (x + 6)dA where where D = {(x,v)| 0<ys /9-x²}. D Sketch the…

A: We will have to sketch the given region and then, we need to write double integral in type I and…

Q: The Laplace transform of f(t) = is 1

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Q: 1 (5* )csch- Vx² +1 (a) Find dx x > 0. y = 3 (eosh S* ) In Vx² +1 .2 (b) Show that for x 2 1, coshx-…

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Q: 3. See the restriction in the following equation. Explain the meaning and the purpose of this…

A: Given that 1b1201ytzt=b10b20+γ11γ12γ21γ22yt-1zt-1+εytεzt First, we try to solve this matrix equation…

Q: Write a negation for the following statement:

A: Given, the statement    For all x, if x∈A∩B, then x∈B.

Q: 1. A bowl contains 10 red and 10 yellow balls, how many balls must be selected to ensure 5 yellow…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: ind the inverse of laplace, f(t) if: 8s2 + 12 9. F(s) (s - 2)2(s – 4)4

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Q: (1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in…

A: Given (1) r=asecθ (2) r=bcosecθ (3) The plane ax+by=c

Q: Find the inverse of laplace, f(t) if: 10s? + 12 13. F(s) = (s + 2)³(s² + 2s + 5)

A: We have to find the inverse Laplace transformation of F(s).

Q: 40. ƒ(x) sin x + 1, [-T, T] %3D

A: 40. Given that, the function is fx=sinx+1,-π,π. That is,∫abfxdx=∫-ππsinx+1dx. From the given…

Q: Question 4. The function f(t) is defined by -3t – 6, 0<t <3 2, 3<t<5. Let f (t) denote the periodic…

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Q: 1. Consider e" = for all r € R. n! n=0 a. Determine the power series representation of f(x) = xe =…

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Q: USe Rung KalMä uethad to solve y= X+2y yco)so %3D h= 012 nsl

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Q: Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). %3D %3D 1 (a) Find the unit vector having…

A: To the above question with the help of vector A , B and C .

Q: 3. Let W be the subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Simplify the given function by squaring the expression inside the parentheses.…

Q: Solve the given problems. 1. Determine the distance to the center of mass of the homogeneous rod…

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Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: We have: The relation is: R=a,c,b,a,c,d,d,b

Q: Find the centroid of the region bounded by the graphs of 343 y = x, x = and y = 14. y? * NOTE: Enter…

A: We have to find centroid of given bounded region.

Q: Q2. Let V = {(a, b, c, d) : b + 2c + d = 0} and W = {(a,b, c, d) : a + 2b = 0, c = 5d} be two…

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Q: Consider the following differential equation. = y dx Let f(x, y) = Find the derivative of f. %3D af…

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Q: (-1)"(п + 2) 2n+1(n +1) Compute the exact value of n=0

A: The geometric series formula is ∑n=0∞rn=11-r, where r&lt;1. Simplify the numerator of the given…

Q: d) How many 7 bit strings have exactly three l's? e) How many 23 bit strings have exactly one 1?

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