B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40° toward south and hikes 1.8 miles. The second hikes 4 miles due east, then turns 52° toward north and and hikes 1.8 miles. Which hiker is farther from camp? Explain how you know. miles 4miles

Q: Prove that the line joining the midpoints of opposite sides of a quadrilateral and the line joining…

A:

Q: Suppose you flip a coin twice. Let H represent the head and T represent the tail. Which one of the…

A:

Q: 2. Find the centroid of the area in the first quadrant under the curve y = 4 – x2. Answer:

A:

Q: Find the area of the region R = (x, y) such that |x-1|-|y+1|<1 |x-1|+|y|<1

A: We will find all inequation eliminating modulus and the find common region bounded by both in…

Q: Let R be a non-zero row - reduced echelon matrix. Then the non-zero row vectors of R from a basis…

A: It is a Vector Space problem and let us solve it in the next steps.

Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Determine whether or not the following matrix A is diagonalizable. Be 5 0 0 () are to explain all of…

A: We have given a matrix ,  A = 500-221002 Matrix A  can be diagonalized if there exists an invertible…

Q: 1. You throw a fair dice twice. Describe the sample space. What is the probability that the sum of…

A:

Q: dx dy dz y +z X + y X +2

A:

Q: Use Ring Method Rotate the region bounded by y = x2 – 2x + 4 and y = x + 14 about the x – axis.

A: The given curves are y=x2-2x+4 , y=x+14 and x -axis To find: the volume the region bounded by the…

Q: 2s – 10 -5s

A: We have to solve given problems:

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5a1 +2a2 + æ3 0 2a1 + a2 O…

A:

Q: 4s+2 1. F(s) = s² +6s+34 1 2. F(s) = (s-2)(s-4)(s-8)

A:

Q: Solve the system of linear equations using iterative methods 6x1 + 2x2 + X3 = 26 2x1+ 8х2 - 2x3 - 24…

A:

Q: Let T be a linear operator on the finite – dimensional vector space

A:

Q: There are seven finalists for the Math contest, and medals will be given to the top three finalists.…

A:

Q: yi = 2y1 – 4y2, y2 = y1 – 3y2, yi(0) = 3, %3D - | Vo(0) = 0

A:

Q: function g defin g(x ,y) = cos (TX JG) Consider the (b) calculate the instanta

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y) To find: Instantaneous rate of change of g at the point…

Q: Final Answer for a1,a2,and az a, =S° - -1dx +- " 1dx = ? 2n-T 2n (1)()(x) 1 | 1 cos- (1)(1)(x) a1 -1…

A:

Q: ) Do there exist subspaces S,T, and U of R³ such that S 1 T, SI U, and TiU? if so, provide an…

A: I have considered te subspace generated by orthogonal basis vector.

Q: Use Gaussian Elimination Method. 2X + Y + Z = 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y + Z = 2 X- Y +Z = 4…

A:

Q: Solve using a. Gaussian elimination and b. Gauss Jordan elimination methods 2x1 + 6x2 + x3 = 7 X1 +…

A:

Q: a linear system in matrix form. 2. Rewrite the specified linear system in component form. dx dr = 2x…

A:

Q: Find the flux of F(x, y, 2) = (r, y, 2) across the surface o which is the surface of the solid…

A:

Q: 1 s'+5s 5.) 5 L' s² +4s+6 6.)

A: 5)   We have given that ,  Fs = 1s3 + 5s We need to find inverse Laplace of F(s). That is , ft =…

Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. du dv…

A:

Q: d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x +…

A: In this problem we first simplify the equation to get Cauchy-Euler form and then solved the…

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 3z1 - 2x2 +4x3 1 21+2-2x3 =…

A:

Q: C. Answer each. Find the number of different arrangements of the set of the seven letters…

A: Let us solve using permutations.

Q: ) Compute the following integrals (i) I = f 8(9– 10.22 + x*) cos(Tx) dx. (ii) I2 = S 6(a(1- a²)) x…

A:

Q: d'y dy Consider the second-order equation +p + qy = 0, where p and q are positive. dt 5. %3D dt2 (a)…

A:

Q: d'y + 6 + 7y = 0. dt2 dy Consider the following second-order equation: (a) Convert the equation to a…

A:

Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

A:

Q: Determine the solution set of the following. a) – 11x +35 > 6x² b) т? -5m 23- 2m Зх — 2 c) 2x + 5 <…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: . Consider the initial-value problem y'= 0.1!y+0.4x², y(2) =4. Use Euler's method to obtain the…

A: Given Initial value problem: y'=0.1y+0.4x2 , y(2) = 4   To Find: Use Euler's method to obtain an…

Q: 1. 2– 2y + 2z = 3r – 2y + 2z = 3 2x – 3y – z = –72x – 3y – z = - 7 -x + 3y – 3z = –4-x+ 3y – 3z = –…

A:

Q: 3- calculate SSm xe' dxdy -if the bounded set M is given by inequalities y <2 - x, y 2 x². -Draw the…

A:

Q: ) Let S be the subspace of Rº given by S = Span Find a basis for S4.

A:

Q: For items 5 and 6. "Your family decided to sell some of your preloved stuffs, home-made foods,…

A: There are total two question as given below. Q.1: You fix your closet and try to find some preloved…

Q: a.) Γ(7) b.) Г(5) c.) L[t!2]

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

Q: 3s+2 Compute the inverse Laplace of Y (8) = 32+25 3 cos 5x + sin 5x 2 cos 5x + sin 5x cos 5x + sin…

A:

Q: Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration…

A:

Q: 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z + 5W – 4N = 21 5X + Y + 7Z -…

A: We have: 8X-3Y+Z+5W-4N=215X+Y+7Z-13W+15N=277X+3Y+4Z-18W-12N=3511X-7Y-Z+9W+15N=5015X+10Y-7Z+2W+8N=19…

Q: Problem Five: Dorian makes luxury cars and jeeps for high-income men and women. It wishes to…

A: We need to form a lineat programming and solve it by using graphical method to get minimum cost

Q: Find the parametric equations of normal line to the surface given by f(x, y) = tan v x2 +y2 at the…

A:

Q: How many solution does the linear system 4r - 8y = 9 and 0.8z - 1.6y = 1.8 have? %3D

A:

Q: If k >= 2 and x in R^ k prove that there exists y in R^ k such that y ne0 but xy = 0 Is this also…

A: If x has any components equal to 0, then y can be taken to have the corresponding components. equal…

Q: Let u, = 5" cos" xcos nx dx. It turns out that u,u, u,. form a GP. Find %3D (a) the ratio of the GP.…

A: We need to find value of un fir different values of n and then find series representing u1 , u2 , u3…

Q: You MUST evaluate the resulting integral by hand, and clearly show all your working. O 5. Use the…

A:

Q: Consider the function g defined by gx, y) • car (7x Jy ) + r (I X Jj ) + cos logg(x-y)

A: Given function = g(x,y)=cosπxy+1log3x-y point= (4, 1) To find: What is the maximum directional…