. Find the analytic function, whose real part is sin 2x/(cosh 2y- cos 2x).

Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

A:

Q: Find the general formula for T: R3 -> R3, if T(1,0,1) = (1,2,0) , T(1,-2,1) = (0,1,0) and T (0,0,1)...

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x? from ...

A:

Q: II. Perform the following conversions 1. FADE base 16 to base 8 2. 1110011100 base 2 to base 5

A:

Q: Use Gaussian elimination in matrix form to solve the system. x + 2y – 4z = 5 2x + y – 6z = 8 4x – y ...

A:

Q: Find the Wronskian of the functions f(t) = 5e' sin(t) and g(t) = e' cos(t). %3D NOTE: Your answer mu...

A: Given that f(t) =5e^(t) sin(t) g(t) = e^(t) cos(t). We have to find the Wronskian of the given funct...

Q: Find the roots of the given complex number 1. z^3 = 2 – 3i

A:

Q: Draw a sketch of a function that satisfies the following conditions. a) S(x) 0 for x>2 S(2) =0 S'(x)...

A:

Q: Find the Wronskian of two solutions of the differential equation t²y" – t(t – 3)y' + (t – 5)y = 0 wi...

A: The given question is related with differential equation. Given that,                     t2y'' - tt...

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: Question 3 Use Laplace transform technique to solve the initial value problem y + 4y = g(t), y(0) = ...

A: First write the unit step function for the given piecewise function gt.

Q: Compute numerically the first real positive root of the following function using bisection method. (...

A: Given,  The function is given by,  X + e-2X-1 = 0 The bisection method is used to find a roots of th...

Q: A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window ...

A: A dress-shop owner has 8 new dresses.  She wants to display in a window which has 5 mannequins.  So ...

Q: Solve the integral equation S" F(x) cos px dx = ' - P.01 4. .Hence prove that o sin?t -dt = %D

A: Given the integral equation is ∫0∞Fxcospxdx=1-p,0≤p≤10p>1

Q: 5) Starting with no edges between A and B, if |E| many edges are added between A and B uniformly at ...

A:

Q: Given the matrices: 2 0 4 7 4 1 E = 0 1 8 7 9 5. 0 0 1

A:

Q: Apply the Runge-Kutta method to solve the 2 for the range differential equation: =3 dr 1.0(0.1)1.5, ...

A: By Runge-kutta method n+1th approximation of the solution of the differential equation  dydx=3-yx, y...

Q: Solve for y in terms of x for the foltowing

A: e(ln2)y=12lne(ln2)y=ln12yln2=-ln2y=-1  

Q: solution

A:

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6 ch...

A:

Q: dx + 2x – 3y = t dt

A:

Q: Find the domain and the Dange of each following Funicts :- a:

A: Given: a) y=x+4  b) y=9-x2 d) y=2-x  

Q: Determine the values of , if any, for which all solutions of the differential equation y" – (2a – 8)...

A:

Q: Find the inverse to the following matrices by using adjoint method. 1 31 A = 2 1 1 2 2.

A:

Q: Solve J. e-t sint dt. 0,

A: Introduction: The Laplace transformation is very useful in determining the integral. The Laplace tra...

Q: Theorem Let A a o – algebra. Let P:A (0, 1] so that P(2) = 1 and it is additive. Then it is equivale...

A: Given that A be a σ-algebra. Let P:A→0,1 so that PΩ=1 and it is additive. To prove that given parts ...

Q: dx 1-S 1-sinx dx 2- S Vx2-2x (5x2+20r+6)

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

Q: find the bases of row(A), col(A) and null(A) where A =

A:

Q: Let f (z) = zi + (z – 4). Part (a) Integrate the function f (z) along the curve C t3 +it? from z = 1...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: If y, and y, are linearly independent solutions of ty" + 3y' + tey = 0 and if W(y,, y2)(1) = 6, find...

A:

Q: 2. Find the equation of the normal line to the graph of e" tan(ry) – In(r - 3y) = sin (7x) %3D at th...

A:

Q: c) Convert the following expression to operator prefix notation, and draw the derivation tree. 7*3-3...

A:

Q: с. (х — 2у)dx + (у — 2х) dy %3D 0

A:

Q: Solve the following differential equations (DEs) or initial values problems (IVPS): (b) 2xy x²+1 – 2...

A: The way of finding the value of constant 'C' is  

Q: Solve the initial value problem y" + 5y- 36y = 0, y(0) = a, y'(0) = -63. Find a so that the solution...

A: Given differential equation is y'' + 5y' - 36y = 0 with y(0) = α, y'(0) = -63

Q: (a) A firm produces two product brands, the quantities of which are x1 and x2. The demand for brand ...

A: given profit function πx1,x2=30x1-3x12+5x1x2-2x22+10x2 where x1 , x2 are quantities (iv) solve for t...

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third ...

A:

Q: Determine the interval of convergence of the following series: x+ 3, (x+ 3)² 1+- + 22 32 Show your c...

A:

Q: A small bank is trying to determine how many tellers to employ. The total cost of employing a teller...

A:

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =...

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: 22. Evaluate |(x – a) (x – b) (x – c) . . . (x – y) (x – z) where the second term of each factor con...

A:

Q: Use layman's term to discuss Broyden's method for solving nonlinear equations.

A:

Q: Problem (1): Show that there is only one automorphism, the identity function, of Q.

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: QUESTION 1 Use least squares technique find a curve of the form f(x)= a,e“:* +a3x to fit the followi...

A:

Q: Given the function V(x,y,z) = x² In(y – xz) a. Solve all the first-order derivatives of V(x,y,z). Do...

A:

Q: Find the Laplace transform of the following: 1) t2 sinh 2t

A:

Q: 2. Determine if the series 3n 1 n=1 converges or diverges.

A:

Q: A paint company has large outlet stores in two cities. Ten samples of the weekly sales (in tons) for...

A: The complete solution is in given below  

Q: Exercise 10. Let Z be the set of integers and R be the relation on Z defined by: aRb if and only if ...

A: Let  ℤ be the set of integers. R be the relation defined on set ℤ such that ,  aRb if and only if a2...

Q: How many four-digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repetition of dig...

A: