HW: Solve the Partial Differential Equations by using separation of variables method: U1 – 4uxx = 0 Ux(0, t) = ux(1, t) = 0 u(x, 0) = f(x) = cos? T x 4(x, 0) = g(x) = sin nx cos X 0 < x < 1, t > 0, t > 0, 0 < x < 1, 0

Q: Find the equation of the straight line passing through two points (3, 9) and (4, 8). Does the point ...

A: The equation of a straight line passing through two points (x_1,y_1) and (x_2,y_2) is  y-y_1=((y_1-y...

Q: Q3) By using Graphical Method. Find the optimum solution of X1 and X2 that the maximize Z=X1 + X2 su...

A:

Q: (a) How fmany identiication number are possIDle 100000000 numbers (b) How many of them begin with ei...

A:

Q: 10. If a triangle is equilateral, then it is equiangular. If it is an equilateral triangle, then it ...

A: This is a problem of logic.

Q: 5. Try encoding the message with the secret word RASPBERRY.

A:

Q: Solve for the inverse of the given matrix using Adjoint of a Matrix. 1 7 -5 |A| =-2 1 1 %3D 4 8 9

A:

Q: Solve for the Laplace transform cosh2t

A:

Q: Find the average value of fover the region, D, where f(x, y) = xsiny, and D, is the region enclosed ...

A: Given:The function f(x, y) = x sin y over the region D enclosed by the curves y=0, y = x², and x =1....

Q: na approxim Uf the polync p (z) = 25 + 24 – 5 z3 – 4 and enter them in the box below. Your approxima...

A: Since there is the power of 5 and coefficient is positive,  p(z)=z5+z4-5z3-4 There will be two real,...

Q: - 7s 4s + 7 Find the inverse Laplace transform of F(s)=- (s – 4)° – 21 (s+1)(2s + 3)(3s +5)

A:

Q: Find a basis for the subspace of Rª spanned by S. S = {(2, 9, -2, 53), (-4, 2, 4, –2), (8, –4, -8, 1...

A:

Q: ewton's method and the following formula are used to calculate the true interest rate of a loan, whe...

A:

Q: Solve for the Laplace transform f(t) = 2(t-4)^4 x(t) = (t+2)sin(t-4) x(t) = 3(t/4)e^(-t/5)

A: Some of the formula of Laplace transform Leat=1s-aLtnf(t)=(-1)n-1ddtF(s)Lsinat=as2+a2L[cosat]=ss2+a2...

Q: I (b) Using the two-phase method, work through the simplex method step by step to solve the problem.

A: Let us start solving the problem step by step      Problem is Min z =   3 x1 + 2 x2 + 4 x3...

Q: 2. Euclidean Algorithm Use the Euclidean algorithm to find gcd(12345, 678).

A: We need to find the GCD(12345,678)=?

Q: 2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all direc...

A: Solution

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: B is correct answer

Q: Q2: Solve by Separable Differential Equation. yy=xe 03: Dot

A:

Q: Theorem 4.6 (Fundamental Theorem of Arithmetic) Every positive integer n can be written as the produ...

A:

Q: A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous r...

A: We are only allowed to solve one question at a time so we will answer only the first one. Please pos...

Q: 17. Evaluate five non-obvious Legendre symbols (4) for p = 47 using quadratic reciprocity.

A:

Q: Given A (w, x, y, z) = (w + x + z)(w' + y)(w' + x' + y')(w + x +y' + z'): a. Express A as a Sum of M...

A:

Q: Q. Find an approximate root accurate to at least 10 of the following nonlinear equation Vx - cos x =...

A:

Q: appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line t...

A:

Q: h (z) dz - C2 h(z) dz C1 5.Evaluate

A:

Q: %3D R is Rectangle ļ (Xxy); -1SXEI, -1k YE13 what are the ciitical paints and the absolute max and m...

A: Given function  f(x,y) = x2 + 3y3 + 9y2 - 3x  Then fx(x,y) = 2x - 3  fy(x,y) = 9y2 + 18 y  fxx(x,y) ...

Q: Solve the problem. Let a1 = 5, a = , and b = Ematrix (( -2 )( 3 )( 1 )) Ematrix (( -23 )(-3 )( 22 ))...

A: If a1 and a2 be two vector in R3 . And b be any other vector in R3 .we say b can be written as the l...

Q: Given A = {2, 3,4, 5}, B = {4, 5, 6, 7} %3D %3D Find AOB Also represent the figure?

A:

Q: Write six different iterated triple integrals for the volume of the tetrahedron cut from the first o...

A:

Q: (-3x - 5 if x > 7 ep 1 of 3: Evaluate this function at x = 9. Express your answer as an integer or s...

A: Given f(x) = -3x - 5  if  x &gt; 7

Q: Use one or more transformations to transform the pre-image (purple) onto the image (white). 4 Rel / ...

A: Here we shall translate the purple shape into white. Here we may observe that there is no rotation. ...

Q: Help: Solve this fast please: Find the sum of 35 terms of a series whose pth term is p/7+2 ?

A:

Q: Show the following for any subset P of R": (a) If P C Q, then P^ 2 Qª and P^A C Q^A (b) РС РАД (c) P...

A: According to the guidelines, we are only required to solve the first two sub questions, kindly post ...

Q: odulo 26 Arithmetic this part of the project, we will learn what is arithmetic and linear algebra mo...

A:

Q: Q3: Determine if the following differential equations are exact, and find its general solution. (cos...

A:

Q: a) find anapp 2) calcula

A: This is a problem of Numerical Differentiation.

Q: (a) If A is a 4 x 5 matrix, then the number of leading 1's in the reduced row echelon form of A is a...

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: 1. Which of the following functions map onto their indicated codomains? Prove each of your answers. ...

A: We will check  whether the following functions (1a,1b,1c) are one-to-one  , onto 

Q: Problem is given. Show your work Find the equation of straight line which passes through the point (...

A:

Q: Complex Number a. Plot the complex number z = 5 + j5 in the z plane b. Find the r and O of the given...

A:

Q: Let A be the set of all triangles defined by R = {(A1, A2) : A1 =A2). Show that R is an equivalence ...

A:

Q: (i) [2(cos 0° + i sin 0°)][4(cos 90° +i sin 90°)] (ii) [2(cos 210° + i sin 210°)][4(cos 120° + i sin...

A: change in polar form 

Q: 6. (a) Show that the curve represented by the vector function F(t) = (5t, 3t – 4, 2t² – 6) is at the...

A:

Q: If X = {u,v} what is the power set of X? (in answering this question, use {} as the null set, and do...

A:

Q: Evaluate the indefinite integral. Hints: da Ina+C +C Question Help: Message instructor Evaluate the ...

A: indefinite integral 

Q: (sin(t), t, 1²) and rɔ = (cos(t), 1 – 1, t). If the temperature for the Two spacecraft are following...

A:

Q: X1 + 2х2 — Хз — 2х4 — 2 a) Find the solution set of the linear system:{2x1 + x2 – 2x3 + 2x4 = 1. (x1...

A:

Q: Locate the first positive root of: f(0) = sin(0) + cos(1+ 02) – 1 Where 0 is in radians. Use four it...

A:

Q: Define g : R →R x sin (1/x), g(x) = 10, x # 0 x = 0. Explain why g is continuous at 0; in particular...

A:

Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

A: