3. Find the solution of the heat equation = 0 if the boundary conditions are = 0 %3D [7/2 and the initial condition is 4(x.0) = %3D

Q: ne eigen-spaces correspondia

A:

Q: 2x 1- if 0<x<a/2 Find the Fourier series of f(x)= f(x+7)= f(x). if a/2<x < T

A: The given problem is to find the Fourier series expansion of the given periodic function with period…

Q: A curve is defined by the parametric equations T = sin t, y = 1 – cos t, 0<t< 27.

A:

Q: L = {[(t – 7) + 10]u,t} L = {cos (2t) + 7 sin (2t)}

A:

Q: Given that z is a standard normal random variable, what is the value of the z score (a) if P (z >…

A: We want to find a such that P(z≥a) = 0.1949

Q: A Complex funchion f is cantinuous at a point z. if lim fez) = fezr) given funchion is fiz) = S f z…

A:

Q: 100 7. dx

A:

Q: 2.45 A reinforced concrete column 200 mm in diameter is designed to carry an axial compressive load…

A: Given Diameter (d)= 200 mm Axial compressive load (p) = 320  Allowable stress for concrete σco= 6…

Q: Find the area to the left of z = -1.96 or to the right of z = 1.96?

A: Given z-scores are z = -1.96 z = 1.96

Q: 4. {3k}

A:

Q: Advanced Math Question

A: In this question, we have to identify the secant line, point of tangency, tangent line, chord, a…

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. – 2e -2…

A:

Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y(1) =…

A:

Q: In Exercises 1-4, let S be the collection of vectors in R? that satisfy the given property. In each…

A:

Q: If iz3 + z2-z+ i = 0, then show that z = 1. |z| = %3D

A: We will use property of conjugate of complex number  If  z1 and z2 are two complex number z1±z2 =z1…

Q: 2 dx 8x + 9

A: To find the value of given integration  We use some basic results of integration and substitution

Q: 86s – 78 Find the Inverse Laplace Transform of (s+3) (s – 4) (5s – 1) 41 (A) "***- 4e -3r - 3e -31+…

A:

Q: Verify Stoke's theorem for the vector field F = (2x - y) I-yz"J-yz K over the upper half surface of…

A:

Q: Define a sequence {E;} where En = |r – ÷,r| where n is positive integer. Find P({r}) for any rE…

A: Given a sequence Ei  where En=r-rn,r where n is a positive integer

Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

A:

Q: Given the following, determine the solution vector using least norm solution. 2 -1 1 3 3 0 -2 5 1 -2…

A:

Q: which is the collection of all polynomials of degree ≤ 3. Write out the standard basis for P2? What…

A:

Q: (b) Show that the line joining points A(rA, YA) and B(xB,YB) can be represented by the parametric…

A:

Q: M [xP (1 – x)<-1 2F1 (a, b; c; 1- x) H(1 – x); p] = T (p - a + c + p)r (p – b + c + p)

A:

Q: Solue paramefer methrde ezE

A: Method of Variation of perameters

Q: Find the area to the

A: Given, the left of z=-1.96 or to the right of z =1.96.

Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

A:

Q: Donald's "Theorem" states that if x and y are even integers, then ry must be a perfect square. (Note…

A:

Q: Evaluate the iterates integrals r'dA D = {(r, y) : 1 < x < e, 0<y S In(z)} %3D

A:

Q: Question 4 The parametric equations for a line L1 are as follows: x = 4+2t y = -1-6t z=-3-4t Let L2…

A: Introduction: In three dimensional geometry, a line can be represented in any of the three different…

Q: II. Instruction: Write the converse, inverse and contrapositive of the following compound…

A: Given: a)If the sky is blue, then deserts are dry b)A sufficient condition for Robert to visit the…

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Given Differential equation is x'' - 4x' + 4x = 4e2t

Q: 7. z – 1 -1 (-1)* 8. 3z + 1

A:

Q: L = {cos² (3t)} L = {e-#£} 1 s2+72 (s+3)³ 1. 2s 2 - 2s2+72 (s+3) 1 2 2s s2+72 (s+3)² 1 + 2s 2s2+72 2…

A:

Q: Prove that TIN) F(a – p) O< Re

A:

Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: To find the general solution of : d2ydt2+5dydt+6y=7 sin 4t. by the method of undetermined…

Q: horizontal or vertical

A:

Q: In this graph, identify which of the following paths are cycles:

A: This is a problem of Graph Theory.

Q: %3D

A:

Q: Find the Inverse Laplace of the following and show your complete solution 9 - 17 + 4 55 s+8 F(s) =…

A:

Q: L= {4 sin (3t) + 2 cos (9t)} L = {sin (2t) cos (2t)} 4s 6 2 + s2+1 s2 –9 s2+4 4s 6 + 82+1 2 s2+9…

A:

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

A:

Q: Find a plane through P (2, 1, 1) and perpendicular to the line of intersec- tion of the planes:…

A: find a plane through P2,1,1 and perpendicular to the line of intersection of the planes  2x+y-z=3 ,…

Q: Choose the correct answer for Laplace Q. transform æ (t) = e-t + e³t answer choices 1 1 s +1 s + 3 1…

A:

Q: { - (2)*} |리 > 2 z – 2 |리 > 2 z + 2 |리 > 2 z – 2 |리 > 2 z – 2 3.

A: The given problem is to find in which complex expression the given term {-(2k)} will be obtained. We…

Q: Given the matrix a 6. A = a -4 4 3 -7 a find all values of a that make |A| = 0. Give your answer as…

A:

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x a- y = log5…

A:

Q: Let f : R? → R be defined by f((x, y)) = 8y – 5x + 8. Is f a linear transformation? a. f(x1, Y1) +…

A:

Q: Give the coordinates of each vertex of the box in the graph. E 8 D 10 A: B: ( C:( D: ( E: F: G: ( H:…

A: In this question, we have to find the coordinates of the points  A, B, C, D, E, F, G and H.

Q: Let W be the subspace of R" spanned by the vectors U; I (l,0, i,0), Uz =(0,-1,1,0), and Uz =…

A: