2. Use the graphical method to find ₁ and 2 so as to minimize z = f(x₁, x₂) = a₁ +422 subject to ₁ +3₂ 2 4 21 +82 10 21 ≤3 X₂ 20

Q: The complete solution of the ordinary differential equation ď² y dy + P dx +qy = 0 is dx² - 3x - y =…

A:

Q: 2. A group of 10 students includes three grade 11 students. Five students will be selected to go on…

A: Introduction: The binomial distribution is one of the most important discrete probability…

Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

A:

Q: bi 1-3 2 b2 and b -2 5-1 Let A 3-4 2 b3 Determine if the equation Ax = b is consistent for all…

A:

Q: Problem 4 Let A B C be a cofibration sequence. For any X, show that the induced sequence [C, X] →…

A:

Q: Use the logical equivalence laws and/or logical reasoning rules to prove that each of the following…

A:

Q: Q.4. Use the Ratio Test to determine if the following series converges or diverges. n! (2n+1)!

A:

Q: Q3. Solve the following differential equation by method of power series: d²y dx² dy +x+9y = 0 dx

A:

Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Given, Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the…

Q: Consider the functions z= -6 ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

A: Given z=-6ex ln(y),   x=ln(u cos(v)),    y = u sin(v)   (a) To express: ∂z∂u and ∂z∂v as functions…

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te*sinh 3t.

A: Introduction:   The Laplace transformation is very significant integral transformation that is used…

Q: the number of combinations of 10 distinct objects taken six at a time = the number of combinations…

A: Let us solve the given combination problem in the next steps.

Q: Problem 4 Find the area inside the cardiod r=1+ cose and outside the circle r = 1. Sketch polar…

A: The area of a region enclosed by a polar curve is also an application of integral calculus. For the…

Q: Consider the vectors x(¹) (t) = ( ) and x(²) (t) = ( 6 ). 6t (a) Compute the Wronskian of x(¹) and…

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

Q: the solution that The sides of a spherical triangle measure 65°, 75°, and 1059 Find the angle…

A: Solution:

Q: 2. Use the given values to set up a table to evaluate the limits. Round your solutions to sin 3x…

A: limx→0sin3xx

Q: 11. In the figure, ABCK is a rhombus, ACDF is a square and AKE is a right-angled triangle. AMD is a…

A:

Q: Can you explain to me what happen if the matrix is not diagonal dominance ?

A:

Q: Q1) solve the following linear systems by using Gauss elimination and Gauss-Jordan elimination. 3)…

A:

Q: of the periodic function f(x) given

A: To find- Find the Fourier coefficients of the periodic function fx given below and find the Fourier…

Q: State why the function 22²-37 +ě is analytic everywhere

A:

Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: (d) List the cosets in H/K, showing the elements in each coset.

A:

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: To check: whether the given function f(t)=0.027t2+0.216t+53.296 represents a good model for the data…

Q: 14 [mx if x - 10 Let f(x) = x² + 9x - 4 if x ≥ - 10 If f(x) is a function which is continuous…

A:

Q: show that the following function analytic f(z) = 4e²+ Sin Z arp

A:

Q: Find the general solution of the DE y" + 4y + 4y = e²x

A:

Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers 2 Chocolate…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 2. Show whether the ODE is exact and find and use an integrating factor if needed. (x² + y²)dx - 2xy…

A:

Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

A:

Q: For the following exercise, determine the point(s), if any, at which each function is discontinuous.…

A:

Q: For the following three graphs, (a) compute the sum of the degrees of all the vertices, and (b)…

A: For the given three graphs, We have  (a) To compute the sum of the degrees of all the vertices (b)…

Q: Q4. Solve the following by using Laplace Transform (i) sin 2te-t + 3 t5 - cosh t 2 t (ii) sin +…

A:

Q: Problem 3: Use secant method to estimate a root for function f(x)=x² -0.6x² -3.5x+3.5= 0, starting…

A: Given function is f(x)=x3-0.6x2-3.5x+3.5 x∈[1,3] Now…

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A:

Q: The following LP formulation represents a transportation problem where raw material (in tons) is…

A:

Q: Question 2.10c. Consider the following system x + y + z + w = 1; x - y - z W = : 1; x + z = 1. Find…

A:

Q: show that the following function analytic f(z)= 4e²+ Sin Z arp

A: Explanation of the answer is as follows

Q: Q. One of the following is wrong: a. Connectedness is a topological property. b.Preserving length is…

A: To find: which is the wrong statement.

Q: The sides of a spherical triangle measure 65°, 75°, and 105°. Find the angle opposite the shortest…

A: When a triangle resides on a sphere is called a triangle on sphere.

Q: what is y(p) with a line on top it ???

A:

Q: The divergence of a vector D for rectangular coordinate is equal to [1/p / dp (pDp)] + [1/p Dø/dø]+…

A: We have to find divergence in rectangular coordinate

Q: 4. [Maximum mark: 6] Let z = 1+ √2i and w = = 3-2√//2i. (a) Find the exact value of Re (22*" w),…

A:

Q: Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as…

A:

Q: A Covariant tensor of first order has components xy, 2y - z², xz in rectangular coordinates.…

A: Given: xy, 2y-z2, xz To find: Solution

Q: 7. Find a power series solution for the following: y" + y = 0

A:

Q: Minimize C=20x₁ + 2x₂ subject to 4x₁ + x₂ 221 3x₁ + x₂ 25 x1, x₂ 20 *** a. Form the dual problem.…

A:

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2). (b)…

A:

Q: 3.2) Give the distance (in miles) between town and James’ house.  3.3) Name the dependent and…

A: To find: Distance between town and James house. To find: Dependent and independent variables. To…

Q: Determine the Laplace transform of f(t) = tcosh(t)

A: