Q2/ A string fixed at both ends with a unity length subjected to the given condition. Solve the boundary value problem using the following 1-D wave equation: 2²u ,0² u = c². əx² at² u(x,0) = f(x) = COSX du -(x,0) = 0 at 11 1-Ⅱ
Q: Find the equation of the tangent plane to the graph of exy² + zy¹ = 61+1 at the point (0, -2,6).…
A: The gradient of a surface includes the partial derivatives of the function. It is always directed in…
Q: in tarih (2x) dx S
A: The given problem is to evaluate the given definite integral of tanh-1(2x). We can solve it by using…
Q: 5. The area bounded by the graphs of y= 2x + 3 and y = x² revolves about the x-axis. Determine the…
A:
Q: State why the function 22²-37 +ě is analytic everywhere
A:
Q: Find the inverse Laplace transforms of the following functions: c. F(s) = e-3s (8-5) (s+1)(s+2) d.…
A:
Q: 12. Camy bought three types of fish. The bar graph shows the number of each type of fish Camy…
A:
Q: x3+y3 x+y If u = = In ди X ?x In ( ди + у ду then find the value of ?
A:
Q: Prove that [*J₁ [V{x (t−x)}] dx=2 sin }ť.
A:
Q: 21. Find the area bounded by the curve r4cos20. A. 8 sq.unita c. 4 sq.unita B. 2 aq.units D. 6…
A: Given: The curve, r2=4cos2θ. To find: The area bounded by the given curve.
Q: 1. How many edges does the cycle graph C9 have? 2. How many edges does the star graph S20 have?…
A: We find number of edges.
Q: 0, xp + (x - 5)c em of equatio
A:
Q: 2) Find all the second-order partial derivatives of the functions: a. f(x,y) = tan
A:
Q: Find the inverse Laplace transforms of the following functions: e-2s 3e-4s a. F(s) = se-38 b. F(s) =…
A:
Q: 3. Given x(n) and n) as shown in the figure below, please compute the linear convolution of x(n) and…
A:
Q: 3 (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and (height).…
A: Given that the dimensions of solid in the form of a rectangular box is L, B, H Where these are the…
Q: Consider the linear transformation T: M₂(R) → M2(R) given by the 2 by 2 matrix (where each…
A:
Q: The primal problem and the final tableau in the solution of the primal problem are given. Use the…
A: The following steps are used to convert the primal problem as the dual problem. Write the given…
Q: Given the following non-homogeneous differential equation x³y +x²y"-2xy' +2y=x-². answer all of the…
A: We know that , non-homogenous differential equation is given by , andnydxn + an-1dn-1ydxn-1 +…
Q: 3 o 1- 1 2 -4 -3 -2 -1 3 4 -1 -2 -3 -4 (a) Write a set of ordered pairs (x, y) that defines the…
A: We have (a) To write a set of ordered pairs (x, y) that defines the relation. (b) To write the…
Q: . If M [f(x); p] = F(p), then prove that M[x² d2²2 + x df; p] = dx ; p=p²F(p)
A:
Q: B/ Evaluate 1)³(2-2) dz where c is iz-1)=2
A: Given integral is ∮cz−1z+12z−2dz, where c is z−i=2. We have to evaluate the given integral. Here,…
Q: mx 10 if x < - 4 Let f(x) = x² + 8x - 6 if x ≥ - 4 If f(x) is a function which is continuous…
A:
Q: Solve the initial value problem. dy 3x²- -x-5 .y(1) = 3 dx (x + 1)(y + 1)' Begin by separating the…
A:
Q: Given the differential equation: 2xy x²+1 - 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 Find…
A: Given the differential equation: 2xydxx2+1-2xdx-2-lnx2+1dy=0 with initial condition y0=e2 Find the…
Q: Question 7 Conveyor belts are being set up in the factory to assist with the manufacturing. [Hint:…
A:
Q: 7- The value of (tan³8 + tan³0) e- -ten²0 a) 1/2 b) 5/2 9 Gunners (x) imetion de is. c) 1/4 in d.…
A:
Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)
A:
Q: Suppose y is a function of x. Find dy/dx. B only.
A: When there is variable in the base and in the power of a function, we follow the logarithmic…
Q: Express Ln(z) in the form a + ib. (Simplify your answer completely.) 2= -15+8i
A:
Q: Find the LU factorization of the following matrices without pivoting 1 2 3 a) A=2 5 4 354 1 -1 1 -1…
A:
Q: 1- The value of I 182211 a) √ b) -√ c) 2√ d) - 2√√
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Use L'Hospital to determine the following limit. Use exact values. lim (1 + sin 62) = z→0
A: Since you have posted a multiple question according to guildlines I will solve first question…
Q: Sonia invested P 2,100 and left it for 9 years where the time in which the principal was withdrawn.…
A:
Q: Solve the equation. (x + 9xy4) dx + ex² ex²y³dy = 0 Begin by separating the variables. Choose the…
A:
Q: The primal problem and the final tableau in the solution of the primal problem are given. Use the…
A: First convert the primal to its dual problem. The last row if the simplex table indicate the…
Q: Let f(u, v) be a differentiable function with f(-1,3)=0, fu(-1,3)= 2 and f(-1,3)= -3, g(x, y, z) =…
A: Given that f(u, v) is a differentiable function with f-1,3=0, fu-1,3=2 and fv-1,3=-3,…
Q: Find all the values of x such that the given series would converge. (-1)"6" xn (√n + 3) n=1 The…
A: Convergence of the series
Q: 3 =). then find ?
A:
Q: 7=(2, 3, 2) + t(1, 1, 4), tER, and the point (4, -3, 2). of the plane that contains the line 9.…
A: Explanation of the answer is as follows
Q: Find the Eigen vector of matrix A corresponding to highest Eigen value. 3 1 4 A 02 26 00 5
A:
Q: Consider the following differential equation to be solved using a power series. y" + xy = 0 00 Using…
A:
Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…
A:
Q: The foundation of a house has 100 termites. The number of terminates doubles every day. a) How many…
A:
Q: Assume that money earns 4.75% p.a. simple interest and use today as the focal date. a. What was the…
A:
Q: 53. The region in the first quadrant, which is bounded by the curve x² = 4y, the line x = 4, is…
A:
Q: xo X1 Given the data set X2 X3 and the polynomials ỹo (x),ỹ₁(x), ₂(x) Yo Yı Y2 Y3 comprising the…
A:
Q: extrema and points of inflection. Use this information to sketch the graph of f. 20. The graphs of a…
A:
Q: 2. Show whether the ODE is exact and find and use an integrating factor if needed. (x² + y²)dx - 2xy…
A:
Q: 2/ find dy d x Y = их e sinx X COSX
A:
Q: Many patients get concerned when a test involves injection of a radioactive material. For example…
A:
Step by step
Solved in 3 steps
- ) Solve the inhomogeneous wave equation on the real lineUtt − c2Uxx = sin x, x ∈ RU(x, 0) = 0, Ut(x, 0) = 0.Explain what theory you are using and show your full computations.Show that cos(ωt − β), cos ωt, sin ωt are linearly dependent functions of t.The graph of f(0) = A cos 0 + B sin0 is a sinusoidal wave for any constants A and B. Confirm this for (A, B) = (1, 1), (1, 2), and (3, 4) by plotting f.
- The graph of f (θ) = Acos θ + B sin θ is a sinusoidal wave for any constants A and B. Confirm this for (A,B) = (1, 1), (1, 2), and (3, 4) by plotting f .A particle started at A(1,0) circled the origin once an d returned toA(1,0) .what were the change in its coordinatesSolve the following wave equation using finite difference method. 4fxx = ftt - Given: f(0, t) = 0 and f(1, t) = 0 f(x, 0) = ft(x, 0) = 0 sin(x) + sin(2x) (Ref: Hyperbolic Equation)
- Find the approximation for the Green's function of the one-dimensional acoustic wave equation in the case where velocity is given by: c(x) = aebx , where a and b are real numbers and a > 0. Analyze each case, b 0, in detail.4. Consider a wave equation on an infinite line, J²u J²u 9 Ət² əx² = 0. = Find the characteristics though the point (1,3). Draw the domains of depen- dence and influence of the point (1,3).2. The position vector of a particle is given by r(t)= (2 cos t sin t)i +(cos^2 t - sin^2 t)j + (3t)k If the particle begins its motion at t = 0 and ends at t = pi, find the difference between the length of the path traveled and the distance between start position and end position
- ii. Find parametric equations for the Line through (7, 5) and (-5, 7) 7. Calculate dy/dx at the point indicated: f(0) = (7tan 0, cos O), 0=a/4The graph of f(θ) = A cos θ + B sinθ is a sinusoidal wave for any constants A and B. Confirm this for (A, B) = (1, 1), (1, 2), and (3, 4) by plotting f.9.) A particle moves in a straight line according to the law of motion: s=cos(x). a. Find the acceleration of the particle when the velocity is zero in the domain [0, 2m). b. Find jerk of the particle when the acceleration is zero in the domain [0, 2n).