Question 15 Find the solution. dy y =xy? dx - 3x A) y = c+x3 3 y = cx - x3 3x C y = c-x3

Q: Example 1.4.1 As an easy exercise, check that you be- lim [0, 1- 1/n] = [0, 1 lim [0, 1 – 1/n) = [0,…

A: Limit is the approximate value of the function .

Q: Let f and g be any permutations. Show that the order of h=fgf^(-1) is the same as the order of g.

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Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

A: Given: 2 log a+ 2 log ba+log cd-log cb2-10d=0

Q: 3. For a metric space (X, d), the diameter of a subset A C X is defined by 6(A) := sup d(x, y).…

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Q: Solve the variational problem 8 Ix (y ? +2y (x+y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: The perimeter of the triangle below is 59 units. Find the length of side VW. Write your answer…

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Q: (c) Find the eigenvalues and eigenvectors for the given matrix. (1 1 0 1 0 0 0 1 0 1 1 1

A: Given Matrix 110100011101 Adding a New zero row in last matrix 1101000111010000

Q: Use spherical coordinates. y2 + z2 where E is enclosed by the sphere x2 + y? + z = 49 in the first…

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Q: Note: a=9 5 feet plus 7 a+2 2. If you know that the length of one of the rectangular farmlands is…

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Q: Consider the permutation T = (t aqgblvx h)(n sk w f ue)(y codjr)(pzmi). (a) Showing your working,…

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Q: By using Laplace transform to solve y' +4y +8y = sint with y (0) = 1 and y (0) = 0, what would be…

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Q: Find a root of an equation f(x) = 2x3 - 2x - 5 using Newton Raphson method

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Q: 1. Consider the function f(r) = cos(z) for c= 7n and h %3D 100 (a) What is the approximate…

A: The given problem is approximate derivative of the given function f(x) at c using forward difference…

Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z – 12 = j(9 – 2z)…

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Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2), j 2- j3 1 +…

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Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y' + 2y = g(t) : y(0) = 2 ,…

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Q: Consider the three sets: {D} (a) For each set above, determine if it is an orthogonal set and if it…

A: (a) To check: whether the given set of vectors are orthogonal and forms a basis for ℝ3 or not. (b)…

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1– j2) 2 - j3 j 1+ j2…

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Q: Mark each statement True or False. Justify each answer. (a) If (sn) and (t„) are convergent…

A: Multipart :    (a)  sn and tn are convergent sequences with sn → s   ,  tn → t. By definition of…

Q: Evaluate every complex number equations given. 1) z = e(4+j3) In(6230°) 10 2) z = (-¡)(- 3) z =…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: First, write into matrix form then find augmented matrix.

Q: Divide:(9x2 + 6x) ÷ 3x

A: We know , 1.(a+b) ÷ c = (a+b)/c = (a/c)+(b/c) 2. am/an= am-n 3. ao = 1

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Q: 4) z = loge(7 + j)*

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Q: 1 -1 3 -2 1 1 -1 0 a | A = 2 reduced row-echelon form -2 2 -1 R=0 0 1 1 b %3D %3D -1 1 5 -4 0 0 0 C…

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Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: Given: Min Z=600,000x+500,000y 300x+100y>900 200x+100y>800 150x+150y>750 Solve for z

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Q: Find the volume of a cone with a base diameter of 9 yd and a height of 12 yd. Write the exact volume…

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Q: Show that the mapping :S3 S3 given by p(x) = xis not a homomorphism.

A: Solution is below.

Q: 12.(Straightforward) Solve this third-order ODE by using the method of undetermined coefficients: y"…

A: Introduction: In order to determine the particular solution of a linear non-homogeneous differential…

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A: Given: Loan amount = $30,000Interest rate r = 8.9%pa or 0.74% per monthPeriod n = 5 years or 60…

Q: olve the d

A: Given,         dxdt=37.5-3.5x

Q: -2 -5 8. -17] 3 1 Consider A = 3. -5 1 11 -19 7 1 1 7 -13 5 -3 a. Find the basis for, and the…

A: By Bartleby policy I supposed to solve first 3 subparts.Post separately remaining part(s).  Matrix A…

Q: DIFFERENCE =Ph 44,165 If Juan invests that Ph 44,165 at 10% retum until he retires at 65, he will…

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Q: 7.(This one is a gift) Consider a homogeneous differential equation, p(x, y) dx + q(x, y) dy = 0,…

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Q: obtain the values of the following integrals. sin²nz+cos²nz dz on the contour |z – il = 3 A)…

A: A) the given integral is                      ∮z-i=3sin2πz+cos2πzz-1z-2dz Here the poles are at 1,2…

Q: Define the sequence {b, } as follows: bo = 4 b, = b,-1 + 2n +3 for n > 1 Use induction to prove that…

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Q: 1. Mark each statement True or False. Justify each answer. (a) If (sm) is a sequence and s; = Sj,…

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Q: Compute the 1st and 2nd degree Taylor polynomials L(r, y) and Q(r, y) for f(1, y) = In(r +y?) at…

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Q: 4) z = loge(7 + j)*

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Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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Q: If my recipe calls for 65 lbs of cubed sweet potato, and it has a yield of 75%, how many whole…

A: Given, recipe calls for 65 lbs of cubed sweet potato, with a yield of 75% .

Q: A brewery produces regular beer and a lower-carbohydrate "light" beer. Steady customers of the…

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Q: A firms production function is Q(L) =15Ľ² –0.1Ľ , where output (Q) is a function of a single input…

A: (i) Given that, the function is QL=15L2-0.1L3. Find the first derivative of the function…

Q: Give at least 3 examples of each type of matrices. 1. Idempotent Matrix

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Q: The drive from the Rome to Pompeii is 149 miles on Italy’s Autostrada. It takes 2 hours 28 minutes…

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: It is 6.7 km from Hotel Oceania, Via Firenze, 38, 0184 Roma, to Saint Peters Basilica at the…

A: Convert 6.7 km to miles using the scale as follows:

Q: 1) Calculate the real values of x and y such that (x + jy)3 is real and |x + jy| is 8.

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