Given three points A(1, -2, 3) B(2, -4, 5) С(34, 5) 1. Find RAB, RAC and RBc. 2. Find the unit vectors of the vectors on #1. 3. Find the magnitude of the three vectors on #1. 4. Find the area of the triangle ABC. 5. Find the area of the parallelogram form by the Vectors RAB and RBc. АВ

Q: Example 4: F is sigma-field FA = {AnB : BEF} %3D Question: Is FA sigma-field?

A: Here we use the definition of Sigma field to prove given question.

Q: 4. Verify whether the two given matrices are similar. Justify your an- Swers Question a. 1 A = 1 and...

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Q: 10. Symbolize the following statement in P. Be sure to include your translation key "The CEO said to...

A: Solution :-

Q: Linda deposited $4,000 into an with 3.8% interest, composnded semiannually ace oja t are made Assumi...

A: Given that  Deposited Amount=$4000 Interest rate compounded semi-annually=3.8% To find The amount in...

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Q: Solve for X - In (+6) - In3= h v %3D

A: To solve for x. 

Q: 7. Let's Define: T(0) = a T(1) = b T(2) = c and T(n + 3) =(T(n + 2) + T(n + 1) + T (n)) for n > 0, S...

A: We have to solve question number 7only

Q: Determine the distance traveled x numerically using relation x = integrated v dt. Try to attain a go...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: 5. Give a general form for T(n) for n 2 2

A: We have solve only question no 5

Q: 5. Find the Laurent series in powers of z. If it has a singularity, what is the type ? 1+ z (a) f(z)...

A: We have to solve question number 5

Q: Consider the 2-periodic function defined on [–1, 1[ by f(z) = sh(ax2). (1) The function f is a. even...

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Q: d all canglants solutions (으 +2me dq

A: In this question, concept of Constant Solution is applied. Constant Solution A Function is a solutio...

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(z) = %3D 1 f'(z) = [NO...

A: To use the  part 1 of the fundamental theorem of calculs to find the derivative. 

Q: Solve the following problem using a) Simpson 1/3 b) Simpson 3/8

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 5. Find the Sum of the first 9 terms of the sequence -3/2 , -1/4 , 1 ,9/4 , . . . Enter your answer

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Q: linuar hamaguresus sgstem X' = Ax & classify lincar the 9) Solve the stability of [o] where A= 2

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Q: The function yp(t) is a particular solution of the given differential equation. Determine the functi...

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Q: Goal: Find the integral 18x cos(6x)da using integration by parts via the tabular (DI) method. First,...

A: We know that: ddxxn=nxn-1∫cosax=1asinax∫sinax=-1acosax

Q: Evaluate the limit using L'Hospital's rule lim 3xe 3x --

A: To evaluate the given limit using L-Hopitals rule. 

Q: Problem 2. (a) Verify that the set Q(V3) = {r+sv3 r, s e Q} is a subfield of the real numbers R. Sho...

A: We have to show that the field of congruence classes Q[z]/(x^2-3) is isomorphic to Q(√3)

Q: Use the cauchy-riemann conditions to determine whether the function f (z) = ((x ^ 3) + x(y ^ 2)) + i...

A: Cauchy-Riemann  : Let f(z)=u(x, y)+iv(x, y) be a complex valued function. Then the Cauchy-Riemann eq...

Q: 10. Symbolize the following statement in P. Be sure to include your translation key. "The CEO said t...

A: Solution :-

Q: Solve the given initial-value problem. (a) 10 -1 -2 X' = 5 x, x(0) 6.

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Q: Solve the LDE systems using the method operator approach. (D² – 3)x – 4y = 0 x + (D² + 1)y = 0

A: The given system of equations is: D2-3x-4y=0                      …1x+D2+1y=0                       ...

Q: So x, = c,e +c,e", and x, = 3c,e" +c,e" Sketch the trajectories in phase plane 2 -2 -2 Comment

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Q: Question 3: 6 people signed up for a Connect 4 tournament. If every contestant plays every other con...

A:

Q: 5. Find a dlagonalizes the fouowing natrlx A, and determine the diagonal matrix D = p'AP matrix p th...

A:

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air...

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes. 

Q: उराve oि

A:

Q: Exercises 11-12: In each exercise, the graph shown is the solution of y" – 2ay + a²y = 0, y(0) = yo,...

A: Given differential equation is y''-2αy'+α2y=0          . . . (1) Auxiliary equation of the above dif...

Q: x^2 y''+xy'+( x^2−k^2)y=0 (1)

A:

Q: - Find (i) L {t e“ sin bt} (ii) L{ tesin 4t dt

A: We will find out the required value.

Q: 2. Is the following set of polynomials linearly independent in P2? Explain your work. (-1+2t + 3t?),...

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Q: Exercises 1-15: For the given differential equation, (a) Determine the complementary solution. (b) U...

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Q: 6. For the following matrix determine the multiplicity of each eigenvalue and a basis for each eigen...

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Q: dy sin x – y with y(0) = 1 dx

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Q: 9. Find the vector closest to y from the subspace of Rª spanned by Vị and v2. 3 1 1 Vị V2 1 y = 5

A: To find  The vector closest to y from the subspace of R^4 spanned by v1 and v2. 

Q: Goal: Solve the differential equation y- 2y = – 1+ 6t, where y(0) = – 4, using the method of Laplace...

A:

Q: (i + 1)?y" – 4(t + 1)y' + 6y = 0. y,(1) = (t + 1)?

A:

Q: Suppose that f:[a,b] → R is a bounded function for which there sa partition P of [a, b] with L(f,P) ...

A: Given the statement Suppose that f: [a, b] → R is a bounded function for which there is a partition ...

Q: 9. Find the vector closest to y from the subspace of Rª spanned by Vị and v2. 3 1 Vị = 1 , y = V2 = ...

A: To find  The vector closest to you from the subspace of R^4 spanned by v1 and v2. 

Q: In how many ways can first, second, and third prizes be awarded in a contest with 360 contestants? Y...

A:

Q: A group of people were asked if they had run a red light in the last year. 294 responded "yes", and ...

A: Solution :-

Q: Find the general solution of the ordinary differential equation. y" +xy =x

A: Given ODE is  y''+xy=x.......(1)  Here x=0 is an ordinary point of the given differential equation (...

Q: 00 r sin 2x (b) 2+3

A: We have to solve b only 

Q: a. Complete the below chart of ring ( image 2 ), providing the values for a, b, c, d ,e f, g, h, i, ...

A: Given: Addition and multiplication table of ℤ8. To find: a. Values of a, b, c, d ,e, f, g, h, i, j ...

Q: 8. Use a triple integral to find the volume of the solid shown z=1-y y=Vx-

A:

Q: 4. A bacteria culture in a petri dish with an initial quantity of 625 mg was introduced to an antibi...

A: We will find out the required value.

Q: Consider the function f(x) = 4x + 6x' 5x - 8. An antiderivative of f(x) is F(x) = Ax" + Bam + CaP + ...

A:

Q: 1. Solve matrix equation A · X = B using the methods of your choice. Clearly mark the answers. Quest...

A: