Find the possible values of a and b in the expression u(x, t) = cos (at) sin (bx) such that it satisfies the wave equation.

Q: Question - and V let Let "M" be an R-Module A, B are sub-Modules of M², then prove that the Quotient…

A: Given : M be an R-Module and A and B are submodules of M. To prove :  AA∩B ≅ A+BB

Q: Which of the following is additive inverse of 11mod8? a. 115 b. 116 c. 117 d. 118

A: We want to find additive inverse of  11mod8.

Q: Consider the following initial-value problem. y' - y = 2 cos(6t), y(0) = 0 Find L{f(t)} for f(t) = 2…

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Q: Find an angle between 0° and 360° that is coterminal with the given angle. 398° is coterminal to…

A: Coterminal are the angles that start and end at the same point. So, to find a coterminal angle add…

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Q: Suppose that u, u and w are vectors in a real inner product space such that (u, w) = 16, (v, w) = 5,…

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Q: Classify the quadric surface. 2 x² + y² + z² = 1 4 ellipsoid hyperboloid of two sheets. hyperbolic…

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Q: Let f: A → B and g:B → C then the condition (gof) (D) = f(g(D)) holds if a) DCB b) DCA c) DCC d)…

A: It is given that,  f : A→B and g : B→C. Then, the condition gof-1D = f-1g-1D holds if ; a) D⊂B b)…

Q: Which of the following is/are  non-Eulerian graph? a. Graphs B C D ONLY b. Graphs B C D E c.…

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Q: max f(x, y, z) = -xz-x² + y-yz - y² - 3z² x,y,z ...5] Express V f(x, y, z) = 0 in the form Ax = b…

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Q: 3. Let x² +16y² + 2², where g is some nonnegative function of one variable such that g(1) = 3. Let S…

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Q: 2. Let C₁ be the ellipse y² + = 1 traced counterclockwise and C₂ be the paral- 9 4 lelogram with…

A: Here C1 denotes boundary  of ellipse and C2 denotes boundary of parallelogram ,  So C1∪C2 denotes…

Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

A: From the given equation we have to solve the value of alfa. Also find the value of alfa as t tends…

Q: Suppose that demographic studies show that each year about 8% of a city's population moves to the…

A: Let the percentage of people who lived in the city be x% and the per of people who lived in the…

Q: Give the Particular Solution of the following Differential Equation d²y dx² IBC: y(0) = 1 y'(0) = -3…

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Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Prove that for an NxN-dimensional orthogonal matrix A a) the determinant |A| = ±1 b) the sum of the…

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Q: Use Romberg integration to find an 0 (h4) approximation for the following integral 1 = 1₁² In(x² +…

A: Consider the given integral, I=∫01lnx2+5dx here we need to require use Romberg integration to find…

Q: prove: d2f 2 D² f(r) = dr2 + 2 r df dr

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Q: For an NxN-dimensional matrix A, prove that a) the product of the eigenvalues is equal to the…

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Q: QUESTION Consider P4 be a set of all the point on a plane through the origin in R4. The general…

A: Given: P4=w,x,y,z∈R4 | aw+bx+cy+dz=0, a,b,c,d are constants not all zero We have to show that P4…

Q: f(t) = t, 0 st < 1 1, t2 1

A: Given function is f(t) = t,0≤t&lt;11,t≥1

Q: You ARE TESTING A DECRSTINE CLOCK, TO POSSIBLY BE MANUFACTURED BY YOUR CONSUMER ELECTRONICS…

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Q: - xUxx + Ut = 0 น

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Q: x²y" - xy + xy = 0, y(1) = 0, y (L) = 0, L > 1

A: As per the question we are given a second order linear differential equation as : x2y'' - xy' + λy…

Q: Find the general solution of the DE: y"+y' + 2y = 0

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Q: A DIGITAL CHIP MADE BY YOUR. MICROELECTRONICS DIVISION, COUNTS CONTINUOUSLY IN THE SEQUENCE: 1024…

A: The counts of the chip are 1024,2048,4096,8192,.... Now, we can see that 20481024=40962048=2 Each…

Q: Evaluate the surface integral of a substance with a density function on the g(x,y) = x cylinder…

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Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4v₁ + 5V₂),…

A: Let us consider a transformation T:R3→R2 defined as T(v)=w Here T(v) is the image of v v is the…

Q: Use Laplace transform to solve the DE. d²y_3dy = 9 dx² dx where x=0, x=0 and dy=0 dx

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Q: One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal

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Q: Solve: x" -x+ 5 y'=t y" - 4 y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: 1. Consider the curve C = C₁ U C2, where C₁ is the line segment from (0, 1, 1) to (1, 1.0) and C₂ is…

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Q: A) C) E) E A E D E H B Which of the following is true? a. Graph A is Hamiltonian. b. Graph B is…

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Q: Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector. 2₁ = 8, X₁ (1, 0,…

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Q: Given: f(t)= -3 Evaluate F(2). Use 2 decimal places.

A: It is provided that f(t)=-3t. We need to calculate F(2).

Q: The graph of the quadratic inequality y<x2+2x-6 is shown. Describe the number-line solution that…

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Q: Answer true or false. The function f(t) = (et) 10 is of exponential order. O True O False

A: We have to determine that whether the function,  f(t) = et10 is of exponential order or not.

Q: first and second at point x=3 of the given function the value of its derivatives, a) Calculate…

A: Given a function: fx=2ex+cosx-5x2+7x (a) To find the first and second derivatives of the function…

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are 2² / and s-a (sa)² + b² y(t) = b…

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Q: e the following constrained optimization problem using the method of Lagrange multipliers: max (x³ +…

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Q: given f(t) = 8 +42 = 6 t>2 evaluate : F (₂)

A: Please find the answer in next step

Q: The Shroud of Turin, which shows the negative image of the body of a man who appears to have been…

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Q: 32. Solve the initial value problem y = (6 e*)/(3+2y), y(0) = 0 and determine where the solution…

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Q: 1. Construct the intersection for the collection of sets: A₁ = (0,2,4,6,8) A₂ = [0, 1, 2, 3, 4) A3 =…

A: I do both 1 and 2 questions. In second question if matrix is symmetrical than we will find…

Q: Use u j+1, j+ Ui, j+ 1 + U j−1, j⋆ U ¡‚ j−1 −4ui,j-0 to approximate the solution of Laplace's…

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Q: (1) Let F(x, y) = (2y³/2, 3x√√y). (a) Show that F is a conservative vector field. (b) Find a…

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Q: Consider the following. Find the intervals of convergence of f(x), f'(x), f'(x), and f(x) dx. (Enter…

A: The given power series is f(x)=∑n=1∞(-1)n+1(x-7)nn. To Find: Interval of convergence of f(x), f'(x),…

Q: Consider the NxN-dimensional matrices A and B, where B=S¹AS (with S an NXN-dimensional non- singular…

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Q: Exercise 7.1.1 Find the equations and describe the shapes of the cross-sections when x = 0, y = 0…

A: A cross section of the quadric surface is the graph of the surface in any of the coordinate planes…