4. Consider the graph below. The edges are in miles. A 4 F 11 12 18 6. 8. 10 D You run the governments routing for trash collection and want to make sure you cover all the edges (roads) at least once. The parking lot where you start and end your route is located in A. (a) What it at tour that minimizes the total distance and that visits every road at least once? (b) How many miles will the truck drive if doing the optimal route? 00

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given, A=( 1,1,0 ); B=( -2,3,-4 ); P=( -3,1,6 )To find: Distance from point P to the line through A…

Q: Given matrices a and B, if AB = 0, then either A = O or B = O. O True O False If A and B are…

A:

Q: Solve the differential equation xy' - 3y = 2x° In x. The solution is y = (Type an expression.)

A:

Q: The cross product of two vectors in R is defined by a1 [b1 azb3- azb2 a2 b2 azbı – aıb3 аз b3 aıb2 –…

A:

Q: 1. Write down the first six terms of the Fibonacci sequence defined by Fn= Fn-1+ Fn-2, when F1=0and…

A: This question related to fibonacci sequence and pascal's triangle. Solution is given below.

Q: s+2 S(s-3) 25 s(s-2)

A:

Q: x + 2y + z – t = 5 3 ,* + y+ 2z + 2t = 8 2 4x + 4y + 3z + 4t = 22 1 x + 5+t= 3

A:

Q: Find the first fundamental form of surface of revolution?

A: Suppose M is a surface determine by , Xu , v ⊂ E3. Suppose αt is curve on M , where t ∈ a , b. Here…

Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r – 1) +2" – r %3D has a critical number…

A: The given function is: f(x)=2xsinh(x-1)+2x-x. To show: f(x) has a critical point between 0 and 1.

Q: Find the solutions of the equation z6 - 1 = 0. Plot the answers on an Argand diagram

A: We have to solve the equation z6 -1 =0.

Q: Q1:- Solve the following DEs:- xy²-cos x sin x y' %D У(1-x2)

A:

Q: (s? +3) s(s² +9) Q7. Find the inverse Laplace transform of ww

A:

Q: The functions: ƒj(x) = 7x and f2(x) = 2x form %3D a fundamental set of solutions of the DE: x²y" –…

A: (1) Given the function f1x=7x & f2x=2x2 we have to show that these function form a fundamental…

Q: (a) Determine the directional tangent lines to the given function at a given point. (i) f(r,y) = 3…

A: Directional  tangent line to z=fx,y  in the direction of  u⃗=u1,u2   at  (x0,y0) .is the line…

Q: 9.

A:

Q: 20. Jeremy has purchases a car and has taken a loan. The car is valued at $12,500. The loan carries…

A:

Q: Find all homomorphisms from Zg →Z10 , and state the kernel of each of these homorphisms.

A: We have to find all the homomorphisms from ℤ8 to ℤ10 , and we have to state the kernel of each of…

Q: -2 -1 -2 -4 4 -6 -5 -4 -4 6 10 -13 - Answer / compute the following. 7 7 -7 -5 -6 -9 10 -4 -3 -4 -6…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: . Give an example of a mathematical proposition that is true based on a model. 2. Give an example of…

A: (1) To give an example of a mathematical proposition that is true based on a model. Consider the…

Q: Problem 1. Consider the vectors 3 Let {e1, e2, es} be the standard basis in R° and let T : R³ → R*…

A: As per policy, we are solving the first three parts, Please Repost the Question and mention to solve…

Q: 5. Consider two functions g(x) and h(x), related in such a way that g(x)=h'(x) and h(x)=g'(x) and…

A:

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 14 tan(x). (Use…

A: The given function is fx=14 tanx. Now we have to find the 2nd degree and 3rd degree Taylor's…

Q: Find the Laplace transform, F(s) of the function f(t) = cos(6t), t > 0. F(s) = | Evaluating the…

A:

Q: The dimensions of avectangubr vefjon are varying with te bimeltsaceording 1-228 cm/see and wa3t+6…

A:

Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

A: Illustrate the rejection region given the critical value and identify if the t-values lie in the…

Q: Determine the values of b and c such that the function is continuous on the entire real line. x + 1,…

A: Given function is fx=x+1,        1<x<3x2+bx,  x+2≥1. We have to find the value of b if the…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A:

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: Given we Kow Polo) = 1 ParE) = e df Pice) = cde'e-dt %3D what is the differential eguation to e…

A: We are given the following.               P0(0)=1P0(t)=e-λtP1(t)=λt1e-λt That is,…

Q: 2. True/False: The vector field G = xi+x*j is not the gradient field of any function g(x, y) w hose…

A: As per the company guidelines, we are supposed to answer only first question of your choice in case…

Q: for -π<x<01 04. Find the Fourier series for the function: ƒ(x)= for 0<x< T

A: Fourier series of the function

Q: 3. Find the Taylor series expansion of sinhx about x 0 and its interval of convergence. Then find…

A:

Q: 2. Transform the following exponential forms to logarithmic forms or vice versa. f. log2 8 = 3 g. 9x…

A: Since there is multiple questions, we will solve the first 3. Repost the question again to get the…

Q: Determine whether the subset of Mn.n is a subspace of Mo.n with the standard operations of matrix…

A:

Q: وبايلد ا)قدژىا

A: To Rewrite the triple integral as an iterated integral in the order dzdydx

Q: 1-10i Q2. If complex number z satisfies the equation: _2z – 57 = 3 – i where z denotes the complex…

A:

Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

A:

Q: 1. Using a Maclaurin series, evaluate the integral shown below to an accuracy of 0.0001: sin x – x…

A: To evaluate , I = ∫01sinx - xx2dx

Q: The temperature at the point (x, y) on a metal plate is given by T (x, y) = y/(x2 + y2 ). Find the…

A:

Q: 8. Determine the angle between the two vectors. a) Ã = and B = b) Ả = -2î + 3 + 5k and B = î + 2j…

A:

Q: Construct a graph with vertices U,V,W,X,Y that has an Euler path, the degree of U is 1 and the…

A: We Know that  An Euler path is a path that uses every edge of a graph exactly once.   We have to…

Q: [16 If n is a positive integer, then 4 36 is -16 Г16 (Hint: Diagonalize the matrix 4 36 first. Note…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: Question: The equation that express the temperature change with time and y-direction is given below…

A:

Q: It is true that i 8 It is true that 1+i in the polar form is 4/2cis(- )

A:

Q: 7 3m converges or diverges. If it converges, find its sum. Determine whether the series m=2 Select…

A: The given series is ∑m=2∞73m.

Q: Find the volume of the paraboloid, z = 9 – x2 - y², that lies inside the cylinder x2 + y? = 4.

A: we know the volume of any surface is given by ∬∫EdV ,where E is surface inside the cylinder x2+y2=4…

Q: Let f : R? → R² be the linear transformation defined by 0 5 f(x) 2 3 Let B {{1, 2) , (3, 5)}, с…

A:

Q: Use the fact that matrices A and B are row-equivalent. [: 210 2511 0 A 3 722 -2 9 20 7 0 4 10 30 -4…

A: