1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

Q: Solve the given IVP: y" + 7y" + 33y' – 41y = 0; y(0) = 1, y'(0) = 2, y"(0) = 4.

A: The given initial value problem is                                      y'''+7y''+33y'-41y=0 ;…

Q: (a) Which of the following matrices are orthogonal matrices? Explain your answer. 1 0 0 1 1 1 2 3 0…

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Q: Kim is having a party for 24 people and is serving hot dogs. Each person will eat 2 hot dogs. How…

A: We first analyse the problem and then present the solution in detail as the next step.

Q: Let G, (Isisn) be n groups and G is the external direct product of these groups. Let e, be the…

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Q: 7. (a) Shade the region in the complex plane defined by {z€C: |z+2+ 2레 < 2} . (b) Shade the region…

A: Solution : A) Z=x+iy z+2+2i=2x+iy+2+2i=2(x+2)+i(y+2)=2  squring both side(x+2)2+(y+2)2=4 equation…

Q: series. メ'4 d. -5

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: Use only the Stokes’ theorem to evaluate  integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the…

A: Solution: given  F=-z-y,x-z,x-yand C is the intersection of ; z=x2+y2 and z=y First, we solve the…

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

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Q: 1. An economist claims that the mean family income of a certain populated area in Metro Manila is…

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Q: 8. (a) Let I= | $(1) dx where f(x) = 7x + 2 – /7x +2. Use Simpson's rule with four strips to…

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Q: Evaluate the Laplace Transform: f(t) = e-kt (a cost + b sin t) O F(s) = a+bs+bk s2 +2ks+k?+1 O F(s)…

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Q: Theorem 2. Let G, and G, be groups, then @ Gx G,= G, × G, (6) If H = {(a, e,)| a e G} and H, = {(e,…

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Q: Create an augmented matrix for the system. Then, solve the system using the Gauss Jordan elimination…

A: Solution:-

Q: (-0.1)-(30)+ (-0.1)' (150) f(-0.1)%= 2 (-0.1) 3(-0.1),11-0.1)- (120)= 6.83 9. 4.

A: f'(-0.1)=111+-0.1-123(30)+-0.122--0.1+13150+-0.136-3-0.124+1112-0.1-14120=6.83 (a-b)3 = a3-3ab(a-b)…

Q: a) Find all m 2 1 such that 27 = 9 (mod m). 0 1] 1| is a zero-one matrix, find A ^ A2]. 0 o] [1 b)…

A: The given problems are solved as shown below.

Q: a. What is the Taylor Polynomial T3(x) for ex centered at 0? b. Use T3(x) to find an approximate…

A: Given: Maclaurin series for ex=∑n=0∞xnn!   To find:  Taylor polynomial T3(x) for ex centered at 0.…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

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Q: Estimate the true percent relative error for the first derivative of the function, y = cos(sin(x)+…

A: We have to find 1st derivative using central difference method and then calculate true percent…

Q: The two vector fields are F = -10ax + 840y and G = 192ax – 7ay + 8az. For the point P(8, 8, 6),…

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Q: Calculate the formal asymptotic expansion of the initial value problem x' = -ɛx +1, x(0) = 0. up to…

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Q: Complete the proof using only set identities and definitions. Suppose A, B, and C are any sets. Then…

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Q: (A) Why does the Law of Sines have an ambiguous case when solving for angles, while the Law of…

A: The Law of Sine have an ambiguous case when solving for angles because when we use law of sine for…

Q: 3) a) Solve:' 4x³y +4x?y(2)_ sxy'+2y=0 Co,0) on

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Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

A: Given that A is the event that none of the dice shows 1. To find: (a) the sample size S.…

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (Cn A)' U B on the Venn diagram.

A: Given that the Venn diagram shows sets A, B, C and the universal set U.

Q: (a) Which of the following matrices are orthogonal matrices? Explain your answer. BEB 1 0 0 1 -1 1 2…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Determine the area of the region below. A. 1.5 sq. units B. 1/2 sq. units C. 1 sq. unit D. A sq.…

A: Solution

Q: - Using the Maclaurin Series for e (e* = E=o) a. What is the Taylor Polynomial T3(x) for e centered…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3(x – y)" Do as indicated. 1.…

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Q: G be the external direct product of groups G, G2.. H, = {4,e2.e*, e..e,x, e G,}

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Q: 2 0 The total of the Eigenvalues (A, + 22 + A) for the matrix 1 4 -1 is -1 2 О а. 5 O b. 13 O c.…

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Q: Q28: Define the concept of field. Is (R-{0},+,.) field? Q29: Define the Boolean ring. Is (Z,+,.)…

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Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

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Q: There are two alternative Plans for operating a high-speed inter-city rail service. In Plan I, the…

A: Given, Plan I and Plan II are given.Trains are uniformly distributed throughout the day.To find: A)…

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 6s – 4 - s2 4s + 20

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Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer: (b)…

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Q: dz and ду dz IV. Suppose z is a function of x and y, and tan Vy2 + x² = z"e6y. Solve for

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: Can you include the graph for this? Thanks!!!

A: The graph for the given function and its Fourier series are as shown below.

Q: Compute the matrix product by expressing it in the form of linear combination of column vectors and…

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Q: 1 - = AV25 + BV5 + C V25 + V5 + 1 A+ B + C =?

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Q: (a) Let W be the subspace of R? that consists of all vectors of the form (a, –7a), where a is a real…

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Q: 3A 4-ft resource is 8ft long of ter hanging a mass weighing &1bS. The the system moves offers a…

A: The Newton's second law for the system is, md2xdt2=-kx-βdxdtmd2xdt2+βdxdt+kx=0d2xdt2+βmdxdt+kmx=0…

Q: (a) Sketch the solid G in the first octant enclosed by the surfaces x^2 + y^2 = 4, z = y, z = 0, x =…

A: Sketch the solid.

Q: 1 3s – 14 s2 – 4s + 8 (s + 1)(s² + 1)

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Answer no. 3

A: To find- Express the field in cylindrical components and cylindrical variables. D⇀ = xa⇀x + ya⇀yx2 +…

Q: 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57°…

A: Solution