Mathematical methods of theoretical physics 2. Use Fourier transformation to calculate the Green's function G(t, t') of the differential equation: (t) + 2 r(t) = f(t)

Q: A plane departs from a small airport in the direction ?30°? and travels for 50 miles. The plane then…

A: The plane departs from the airport and travels 50 miles in the direction of 30°. This forms a right…

Q: Let A22+-7 B-42+-l C-3+5 Complete each vector sum A B+C A+ B-C + A-B+C A-B-C +

A: Write the vector expression for the three given vectors.

Q: For vectors B = -i – 4j and A = -3i – 2j, calculate the following. Give your answers to three…

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Q: Two vectors are added, with lengths of five meters and three meters respectively; I don't know the…

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Q: Find the vector sum of the following vectors using Analytical method and  polygon method. 1. 100 N,…

A: 1.  Draw the vector. Vector sum Analytically: S=1002+302+2×100×30×cos45°=15142.64=123.05 Polygon…

Q: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H =…

A: For two vectors to be perpendicular to each other, their dot product must be zero.

Q: // A hexagon with prime vectors in real space: V3a V3a X+ y & c=cz & b' %3D Where x, y and z vector…

A: Given, a'→=3a2x→+a2y→b'→=3a2x→+a2y→c'→=cz→

Q: Given this diagram of vectors, ¿which vector represents A + B ? A E a. A b. B c. C d. D e. E B← D

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Q: What is the resultant magnitude when adding the two vectors below 23 N 23 46 23 /2 529 N EZ

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Q: 2. Consider the vectors W and U. a. Which two directions are perpendicular to both W and U? b. What…

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Q: If Vx = 14 m and Vy = 27 m then determine the following: a. What is the magnitude, V, of this…

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Q: A girl delivering newspapers covers her route by traveling 3.00 km west, 4.00 km north, and then…

A: Here, AB→=3.00 km-i^BC→=4.00 kmj^CD→=6.00 kmi^

Q: If vector A O a. 61 i + 93 O b. 29 i + 93 O c. 61 i - 93 O d. 61 i + 69

A: Addition of vector

Q: Does the spy make it across the canyon? Show clearly why or why no Find the magnitude of the spy's…

A: Velocity is resolved as follows: Here the given value of v = 16.5 m/s Part a. Velocity vsin30∘ will…

Q: What is the position at t=0s?

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Q: Determine the (f_y) of Hypotenuse aright triangle when (F=100 lb, X=3, Y=4) .A 79lb .B 80lb .C 80 .D…

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Q: An aireraft performs a maneuver called an aileron roll. During this maneuver, the plane turns like a…

A: Time taken to complete 1 circle (T) = 35 seconds Length of wing (L) = 4.6 m

Q: Vectors A and B are shown. What is the magnitude of a vector Cif C = A - B? O O O O O 40 60 a. 10 78…

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Q: A vector has a magnitude 10 and makes an angle of 120° to the +x axis, what's its x component? OA. 5…

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Q: the x component of 40 m, 32° west of north?       a. 40 m tan 32°       b. 40 m sin 32°       c. 40…

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Q: 1. A velocity vector has components v₁ = -36 m/s and vy=22 m/s What is magnitude this velocity…

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Q: A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a…

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Q: A road makes an angle of 4.8° with the horizontal. How far must          an automobile go up the…

A: Angle making with horizontal is 4.8 degrees.

Q: Suppose that A = 2i + j. B=i- 4j + k, and = j+k. What is the magnitude of the vector

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Q: Given vectors are: A- 30 lbs at 37 degrees, B- 50 lbs at 135 degrees, and C - 80 lbs at 240 degrees.…

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Q: Find the x- and y-components of the vectors, C where C-A-B. Notice that we are subtracting the…

A: The magnitude of the vectors could be added algebraically if they are parallel to each other.…

Q: 6. A cannon ball is launched with a speed of 120 m/s at an angle of 30°. a. How fast is the…

A: Given-  Velocity of cannon ball(u)=120ms  Launch angle(θ)=300For velocity in projectile motion,Along…

Q: Adding the two vectors 2î + 7ĵ and î + ĵ gives ______. Take note that the notations i and j are the…

A: Given Vectors are 2î + 7ĵ and î + ĵ

Q: 6. For the vectors shown below, determine A+B-C. B10 mis C- 15 m/s 30 60 A-50mis

A: Given : A = 5 m/s towards positive x-axis B = 10 m/s at an angle of 60° with the positive x-axis C =…

Q: A daredevil tries to jump Death Canyon on a motorcycle but falls short of the other side. If Death…

A: The width of Death Canyon is W = 65.0 m Speed of daredevil v = 34.7 m/s

Q: A ball is thrown from a high window. The arc path that it takes is a result of the combination of…

A: Given data: Ball thrown from high window Required: The acceleration of the ball

Q: er A 2i +3j Which of the following is a unit vector in the direction of A?

A: Given that:A→=2i^ + 3j^ To determine the unit vector along A→

Q: Find the acceleration ??

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Q: A 4 B The sum of vectors A and B is

A: Given data:  The vector A and B Required: Sum of the vector A and B

Q: When there is no air resistance what best describes the vectors of a projectile in motion:   a.The…

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Q: 4. Express F1, F2, and F3 as Cartesian Vectors F₁ - 750 N 45° 30° F₂= 625 N F₁ = 850 N

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