Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of

A: In hyperbolic triangles, the sum of the angles is strictly less than 180° i.e π. Now, π2+π2=π

Q: Find the general and Singular Solution of The Following differential equation yLny = xyP+ P²

A:

Q: , just a correction that it's ψ121 not ψ112.

A: Solution

Q: 10. Use cylindrical coordinates to evaluate SS S(x+y+z) dV where E is the solid enclosed by the…

A: The region

Q: 1. Solve the following partial differential equations by direct partial integration. (i) = 4ty [u=…

A:

Q: s) Solve the initial value problem y +10y +34y = 0 Solve the differential equation e2x dy dx y(0)-6,…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

A:

Q: the approximate value of A) -2.413 X 2=4- N (x-y+z)ds is: C y+z=6 y

A: Solution :-

Q: 33. Find the sum of the following arithmetic series. Σ(8i +3) i=1 A. 726 B. 4,587 C. 561 D. 2,538

A:

Q: - xy², which vector is normal to the plane tangent to the surface of this function at (0, 0, 0)? If…

A:

Q: Two spherical tanks are connected as in the figure below. The first tank has the radius 1m and is on…

A: We will find work done to fill a horizontal slice and then integrate it to find total work done for…

Q: Determine the z-transform of the following: n 20 x(n) = n<0 O · </²/<2 5 3 1-²-(1-22-1) 5 3 1 -z 3…

A: Z transform of the function

Q: Q1:- (A) Discuss the convergence of the given sequence : a(n) = cosh ln(n) (B) Evaluate: f dxdy…

A:

Q: of the following vector fields, the one that is conservative corresponds to: 3xy¹+x A) F(x, y, z) =…

A:

Q: 11. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 9 3 2 8 ㅋ

A:

Q: The symmetric matrix 3 11 A = 1 3 1 115 has dominant eigenvector e, = [1 1 2]¹. Obtain the matrix A₁…

A: Here, we are given with symmetric matrix. We need to use deflection method to solve this problem.

Q: The differential equation: y' (t) − y(t) = 0 can be written in a vector equation: ´y' (t) 1 'y' (t)…

A: False

Q: - 4. Let C = C₁ U C₂, where C₁ is the semicircle x = √√4y – y² traced from (0,4) to (0,0) while is…

A:

Q: 12. A company wants to show how fast its cars can accelerate when compared with the competition.…

A: Line graph : It is a type of chart that use to show data  that changes over time.  Pie chart: It is…

Q: Let us solve the following equation via separation of variables 8²u(x, t) Ət² 8²u(x, t) dx² a) After…

A:

Q: Write down a differential equation of the form dt all other solutions diverge from y = 4 as t →∞.…

A: Let us consider a differential equation dydt=ay+b  such that the solution diverges as t→∞, y=C The…

Q: 6. I. 3 4 0 Evaluate each determinant. -3 1 тут -5

A: To find the determinant 3-3-441-50-1-4

Q: Find the convergence radius and convergence interval of the next series 14. Σ (-2)" √n (x+3)" n = 1

A: Problem is solved using concept of convergence.

Q: Johan trains for running. He doesn't train in 2 days. He runs 6 km on a day 2 days a week. The rest…

A:

Q: 6. Show that the premises "If you send me an e-mail message, then I will finish writing the…

A: Let , p : You send me an e-mail message. q : I will finish writing the program. r : I will go to…

Q: Find the Inverse Laplace Transforms of the following. 4 1) 1 S-3

A: We have to find the inverse Laplace Transformation of 4s-3 so first write it in the form L-14s-3…

Q: QUESTION 6 Determine whether the set {P1, P2, P3) is linearly independent in P2, where p₁ = 2+x+3x²…

A:

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: Given,y' =y(y-6)2 At equilibrium points y' =0⇒y(y-6)2 =0 ⇒y =0 , 6thus, y =0 and y =6 are…

Q: A sign hangs from two wires. The left-hand wire makes an angle of 60° with the horizontal, and the…

A:

Q: II. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y²…

A:

Q: Solve using LU Decomposition: 7x₁2x₂ + x3 = 12 { 14x17x2-3x3 = 17 -7x₁ + 11x₂ + 18x3 = 5 a.) Solve…

A:

Q: Prove by Mathematical Induction that: 192^3+2364+ ...+n[n+1)(n+2) = n(n+1)(n+ 2){n+3)/4

A:

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: 3. F(S): (5-1) € 45 (5-2)(3+1) Use partial fractions

A:

Q: VI. Consider the conservative vector field 1. 2. I F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) -…

A:

Q: Tet X and Y be infinite sets prove that XUY is infinite

A:

Q: Show that W = {(a, 0, b)la, b = R} is a subspace of R³.

A: As per guidelines we are supposed to solve the maximum first questions only .kindly post another…

Q: TRUE or FALSE: 1. There is no integer n such that 4 | (n^2-2) 2. The GCD of all prime numbers is 1.…

A:

Q: Use technology (Excel or another spreadsheet program, a graphing calculator, etc.) to evaluate…

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: دیا (a) | 4 25 53

A:

Q: major airline is plannin

A: Given that a major airline is planning to purchase new airplanes. It wants to borrow $800 million by…

Q: Let V be a vector space and let u,v be elements in V. if W = { au + Bv | a,B are elements of real…

A:

Q: Given the plot of normal distributions A and B below, which of the following statements is true?…

A:

Q: 1. Evaluate the following integral: fff a ln y tan z dv if S = {(x, y, z) = R³ : -1 ≤ x ≤0, e ≤ y ≤…

A: Let us consider a triple integartion ∫ab∫f(x)g(x)∫h(x,y)p(x,y)F(x,y,z) dzdydx To solve the…

Q: Determine the orthogonality of ψ111 and ψ121 for a three-dimensional particle in a box.

A:

Q: The function f(t) = 1500 represents the rate of flow of money in dollars per year. Assume a 15-year…

A:

Q: please answer the same way above the former one. j) When is the particle speeding up? k) When is…

A:

Q: 2.. Evaluate the double integral: So So VVT (Hint: Change the order of integration to dy dr.) -…

A: Let us consider the double integral ∫ab∫f(x)g(x)F(x,y)dydx The change of order of integration is…

Q: 7. Study the Venn diagram below and then answer the following questions: 15 11 B A 12 9 4 13 8 3…

A: