1. A railway truck of mass 300 kg is travelling at a speed of 7 m/s, It collides with a second truck, of mass 200 kg, travelling at 2 m/s in the opposite direction. The two trucks then couple (stick) together. Find the velocity of the trucks after the collision.

Q: 3. Suppose i h(x, y) log(3x) Actan (¹) Find h(x, y), hay(x, y), and

A: Solution : z=h(x,y)h(x,y)=log3xtan-1y4 hx(x,y) is partial differential of h with respect to x,…

Q: Draw the region of integration. Then evaluate the double integral using polar coordinates. Sex² + y²…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5x1 + 2x2 + x3 = 0 2x1 + x2…

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Q: 1 3 k Ť This function models the profit p, in dollars, for a company's new product as a function of…

A: From the graph, the graph can not reach the target $100,000 as profit for any least number of sales.…

Q: 6 Let g(x) = and f(x) = ln x². Then f'"'(x) = g(x). Select one: O True False

A:

Q: 1. Find the range of the following: a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: Solution

Q: 5. 9499 8. 5. 1 6U Mes 9- -6. 2 3 -5. -2. May 2021 7- 8 -8-7-6 -5 -4 -3 -2 y = 2x +1 and y =lx-1…

A: To find the solution by graphing :-

Q: Show that if v is a harmonic conjugate for u, then −u is a harmonic conjugate for v.

A: harmonic conjugate of V

Q: 5.B.1. Let A = ZB={n €Z/1≤n≤50) C = { * 10, 20, 30, 40, 50) Which of the following statement are…

A:

Q: Given a symmetric group S3 = {(1), (1 2), (1 3), (2 3), (1 2 3), (1 3 2)}. Given a set H ≤ S3 with H…

A: Given symmetric group ,                                 S3={ (1),(1 2),(1 3),(2 3),(1 3 2),(1 2 3) }…

Q: Write the following system of equa √3x - 2y = 3 | 5r+

A: The augmented matrix is written as a matrix of numbers in which each row represents the constants…

Q: Use standard Maclaurin Series to find the series expansion of f(x) = 8e4 ln(1 + 8x). a) Enter the…

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Q: 6. Determine all functions f analytic in |2|< 1 and satisfying ƒ(²-) = k+k² 1+k2' k = 2,3,4,...

A: We have to determine all the analytic functions f  in  z&lt;1  such that  f1k = k+k21+k2 ,  k = 2,…

Q: By Evorhate fe dz (2241)5 C:/Z-i/= 3

A: (a) The given integral is ∮Cdzz2+13  C: z-i=3 To find: The value of the integral. Please post the…

Q: Find the volume of the region that lies above the cone z = √x² + y² and between the spheres x² + y²…

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: 2. Solve the following pair of ODEs over the interval from t = 0 to 0.4 using a step size of 0.1.…

A: There are may formula for Runge-kutta of order two, i use the modified Euler form

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: +2: = 3

A:

Q: 10. (A is the relation defined on Z as follows: for all x, y € Z, x Ay ⇒x=y (mod 3). Describe the…

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Q: Find the laplace transform of the following. Simplify your annuer. • f (+) = 4+e²¹ t

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Q: Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…

A: Improved Euler (heun's) method  Replace x with t

Q: The value of the triple integral (x² + y²)dV where E is the E portion of x² + y² + z² = 4 with 0 ≤ y…

A:

Q: hello, I appreciate your answer but the answer looks funny it is difficult to understand. Would you…

A: Solution

Q: A biology department was called in to help with the jellyfish problem in Lake Superior The biology…

A: Solution: a) P=0.75t+75  …(1)P=0.5t+3 ⋯(2) to solve these equation we equate P in both equation,…

Q: Find the gradient of the function f(x,y) = 10y - 2x at the point (2,9). Then sketch the gradient and…

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Q: The solid formed when the region bounded by y=x, y=2x+ 2, x=2, and x=6 is revolved about the y-axis.…

A: Given the solid formed when the region bounded by y=x, y=2x+ 2, x=2, and x=6 is revolved about the…

Q: 6. Find the intersection of the line / and the plane . 1:7=(4,-1,4) +t(5,-2,3) x: 2x+5y+z+2=0

A: First we separate the x ,y, z from line and put this values in equation of plane to find the value…

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, mEnm-n is even. Is this an…

A: Here, E is an equivalence relation on Z. To show this,  we will show that E is reflexive relation,…

Q: Find complex root of the equation =²+1=0

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Q: 1. function f from {a, b, c, d] to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f: ZxZ→…

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Q: in a graph What is the chromatic number? And give an examples

A: Solution:- In a graph, no two adjacent vertices, adjacent edges, or adjacent regions are colored…

Q: If two billion people contribute five hundred to nine million people how much money is that

A: 2 billion = 2000000000 in count If 500 have to give to each of 9 million people . Where, 9 million =…

Q: Which of the following statements represent EXPONENTIAL functions? Check all that apply. The price…

A: Introduction: An exponential function is a mathematical function that can be used to a variety of…

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, m Enm-n is even. Is this an…

A: Equivalence relation

Q: 1. M-File plot x and y together. 2. Simulink: implement the library blocks to simulate the equations…

A: We will use matlab to solve this question  Matlab input code

Q: Qu Evorate & 6 f Z+1 Z4-273 C:/Z-i/=3 ₂d², C₁/2-11 = 2 (2241)³

A: Solution:-

Q: 8. ) Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

A: Solution

Q: Thank you, can you do C and F with the same ball scenario?

A: Solution

Q: Inverse Laplace (0) = 66²2-12 53-452+5+G

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Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x) =

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Q: 18 Ln=1 sin() √n is 2 Converge a. 1 b. c. d. Diverge

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Q: 7. f(x)= x+4 2x*+x+8

A: Please see the attachment

Q: S= dx X√x²+2x-1

A:

Q: Find all analytic functions f such that Ref + Imf = xy.

A: This is a problem of complex analysis.

Q: Problem 2: Express in partial fraction form the signals, then compute inverse Laplace transform 3 2…

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Q: range of the following. a) 150, 250, 825, 400, 18, 500 b) 2.2, 1.8, 5.1, 0.3

A: The range of a set discrete finite is A is [ min(A) , max(A) ].

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 1x1 - x2 + ²x3 = 349 630 19…

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Q: Find the area under the curve using intervals of .25 unit (X) each Find Left and Right Endpoint Area…

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Q: Solve The following system using Cramer's Rule x-2y+32=7 2x+y+z=4 -3x+2y-2z = -10

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Q: 1. Apply Parseval's theorem to Q(t)= -{Q(+27) and use it to evaluate a sum rule for Σ1 k=1 |t| <T…

A: Dear Student, Since you have asked multiple questions, I will solve the first question for you. If…