If a, b are complex constants and a real parameter, what does the equation z = a cost+bsint represent in the following cases? (a) a is purely real, b is purely imaginary (b) la-bl=la + bl

Q: Example: Find the eigenvalues of C = The charactoriati 0 1 0

A: Solution

Q: 5. If u = f (y + ax) + ( (y - ax), then to อิน น อน (a) ay (b} 2 ay (c) −a? (d) a สิน 2 ay? 2 a อน…

A:

Q: If 11z¹ +10iz⁹ +10 iz-11 = 0, find the possible values of [z].

A: The given question is related with complex analysis. Given the equation 11z10 + 10iz9 + 10iz - 11 =…

Q: In Exercises 9 to 12, determine whether the two graph are equivalent. 9. B C C A D B

A: given two graphs

Q: Q4) Find the largest eigen value for the matrix A- [1 2] A= with x (0)=(7/17 1) 54

A:

Q: 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

A:

Q: Minimize C=3L-4K subject to 120=3K⁰.7L0.3. Find L*, K*, A*, C*. Now, Use Bordered Hessian to verify.

A: z =xy subject to x + 2y = 2lagrange function:L =U(x,y) +λ (M-p1x-p2y)

Q: Are the following deterministic or stochastic? Rolling a pair of dice Calculating your savings…

A: Solution

Q: HW-4 Find f'(4.8) and f"(2.2) for the following data in the below table. @ Find I fixidx X 0 1 2 3 4…

A:

Q: Jse separation of variables method to solve the partial differential equation: du ²u ди du(x,0) +u…

A:

Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

A: Solution

Q: 41) Fs [ f ² (x)} = √ √ ²/ Pf (o) - P² Fs { f (x)] proof: H.W.

A:

Q: c) Factorise the following expression 25a³b²+10a²b³-15ab

A: We need to factorize the expression 25a3b2+10a2b3-15ab

Q: y" + y = sec x tan x

A:

Q: Find the Laplace transform of t², -8 + 3t, 2. g(t) = - 6)² + 2 cos cos (1-2), 6 0 2

A: given g(t) is defined in (0,2)

Q: ermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal

A:

Q: »pr«°C =m•22=4

A:

Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

A:

Q: ) Solve by using Laplace transform the partial differential equation ay-9 0² =0 dy(x,0) y(0,t)= 0,…

A:

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: a) In the given graph each vertex has a degree of 2 or 4, hence from the Eulerian Graph Theorem, the…

Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

A:

Q: 1.) Let G₁ = £1₁ 1₁ i -i) be group of 4 Complex numbers under mutiplication. a) is £1, i} a subgroup…

A: Given group under multiplicationG = 1, -1,  i , -i  A subset H of G will be subgroup of G if H…

Q: Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for…

A:

Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: 1. One algorithm for polynomial evaluation is the straight term-by-term evaluation which follows the…

A: Let's assume the polynomial to be of the form  P(x)=a1x5-a2x4+a3x3-a4x2+a5x-a6 If we take into…

Q: For the Dakota problem: a. Solve Dakota's LP and run a sensitivity analysis. b. If 18 finishing…

A:

Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

Q: Convert point (-8,8,-7) from Cartesian coordinates to cylindrical coordinates. Hint: r² = x² + y²…

A:

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: A store manager obtained a loan of $35,000, at  6 3 8%  interest, for 14 months to purchase…

A:

Q: In Exercises 29 and 30, a floor plan of a museum represents the floor plan, where each vertex…

A: Solution

Q: Q2: State and prove the first isomorphism theorem.

A:

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 12. F с A B C D E BADO В E A

A: The given two graphs are not equivalent

Q: ▪ Homworke Example 2 The point P(x, y) is given an anticlockwise rotation of radians about the…

A:

Q: Find the general solutions to the following differen (3.1) Un+1=un +7 (3.2) un+1=u-8, u = 2 (3.3)…

A:

Q: 3) Determine the rule writing it below and then complete the tablic 3

A:

Q: 3 (a) So 4√3x dx √3x-x² 2

A:

Q: Find the Laplace transform of - 1. _ƒ(t) = [1 − u₂m(t)](2 sin t — sin 2t) t², -8 + 3t, 2. g(t) =…

A:

Q: Test the convergence of the following: 1- a. -(3n+1)*

A:

Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: The given problem is related with graph theory. A subway map is given. We have to check the…

Q: PROBLEM Carry out the substitution in the improper integral 2 cos 0 = ei + e-i */2 *² log (2 cos 6)…

A:

Q: Q4:- if you know that data ( 12, 10,12,10, 10,6) find the :- Mode, median, mean, variance and…

A:

Q: In a recent small survey of airline passengers, 27 said they had flown American in the last year, 23…

A: We will use  Addition theorem for  3 set

Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A:

Q: Test each of the following series for convergence by the Integral Test. If the Integral Test can be…

A: This question from series and convergence.

Q: (b) Find the Fourier-sine transform (assume k ≥0) for 1 f(x) = x + x³

A:

Q: You live in Grid-Town on the corner of 2nd and 4th, and work in a building on the corner of 16th and…

A: Introduction: A lattice path is made up of horizontal and vertical lines that run through the points…

Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: Using a decomposition model, we find the following relationship for trend and quarterly seasonality…

A: Answer : The forecasted demand for the second quarter of the fifth year is 49.32. 1. t = 2 for…