The vibrations of an elastic string of length / are governed by the one-dimensional wave equation The string is fixed at the ends. %3D u (0, t) = 0 =u (l, t) for all t. The initial deflection is %3D u (x. 0) = x; 0

Q: Angle FGH is a right angle. The measure of angle JGH is 25°. The measure of angle FGJ is x°. What is…

A:

Q: Consider the matrices 1 0 0 0 0 1 1 1 A 2 0 0 1 0 0 B = 0 0 1 1 1 0 0 0 1 18 5 1 -7 8 C = 0 0 1 0 0…

A: We know, a matrix is in reduced row echelon form(rref) if, 1)In each row first non zero term should…

Q: A punch-out card contains 100 spaces. One space pays $300, five spaces pay $20, and the others pay…

A: Probability tells about the possibility of happing something. Probability is computed by dividing…

Q: There are infinitely many primes of the form 4k + 3, where k E N. False O This option True This…

A: The given problem is to check whether the given statement is True or False. Given statement There…

Q: Assume you have plant defined by the transfer function G(s) = 1/(s+a). a %3D Let Y(s) = G(s)U(s)…

A:

Q: A population of fish is living in an environment with limited resources. This environment can only…

A: The differential equation given is as follows: dPdt=kP1-PM1-mP Also given that the maximum…

Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

A:

Q: Find the exact arc length of the curve over the stated interval. 1 -4, from y = 1 to y = 2 12 NOTE:…

A:

Q: 37) Website popularity ratings are often determined using models that incorporate the number of…

A: Given , P(x) = log(x-4)Where P(x) is the website's popularity rating.and x is the number of visits…

Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 13 21…

A: Given differential equation is y'' - 3y' - 10y = 1 Here auxiliary equation is D2 - 3D - 10 = 0 D = 3…

Q: The Question Ronan is building an extension to his house to facilitate a social space and games…

A: For any right angled triangle, using the tangent ratio, it can be written that the tangent of any…

Q: 7. Show that f(x) = 6xª + 12x² + 18 is 2(x*)

A:

Q: Use the Cayley-Hamilton theorem to find constants a, b 5 (-2 and c such that A4= aA² + bA + cl if A…

A:

Q: Question Determine the Laplace Transform of the following functions: а. e4t (t2 + 3t + 5) b.…

A:

Q: Half range Fourier seriesis defined as f(x)=2x within the range 0 <x <n a. Sketch Fourier sine…

A:

Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: Find regular singular points of the defferential equation. d²y dy 2x? +(x² - 4) y = 0 +3x dx? dx

A: Given differential equation is 2x2d2ydx2 + 3xdydx + (x2-4)y = 0

Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. y(x) =…

A:

Q: 1. Find the area bounded by the curves y = 3x'+1 x=0 y= 3x+1 x-1 А. 3/2 5 В. 3/4 2 С. 1/4 -2 -1/0 21…

A: y = 3x3+1 , y = 3x + 1

Q: Suppose v1, V2,..., Vm E V. Prove that {v1, v2, ..., Um} = (span(v1, v2, ..., Um))-.

A:

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: Given equation 2cosx3-sinx=14.We have to find the fixed point lteration Method with an initial value…

Q: 5. Sigrid is building a hexagonal gazebo. The gazebo is to be 10 feet across the diagonals. a. How…

A: Consider the hexagonal gazebo which is 10 feet across the diagonals. a. to find the length of each…

Q: [1 00 01 111 1 100 01 2 3 A = 1 210 00 13 133 10 0 0 1

A: The given question is related with inverse of a matrix. Given that,                 A =…

Q: Find and classify the critical points of f correct to three decimal places (as in this example). (If…

A: We have to find the critical points and then we can proceed further.

Q: 2. Below you are given the graph of the function y=g(x). Use the graph to answer the questions. a)…

A:

Q: Minimize and Marhnize ニ= 30y + 20y スx+ yZ 3ue * +y Z 28 メ+2y2 32 Suljeat to

A:

Q: 1-Determine if W is a subspace of Mnn CEMn, W = {A€Mn: CA°C1 = A}

A: W is a subspace of V if:  u,v∈W ⇒ u+v∈W au∈W, a  is a scalar Now, we have W=A∈Mnn : CAtC-1=A Let…

Q: Let X ~ Uniform(-1,1) and Y = X² , find the CDF and PDF.

A: Use the following definitions, to obtain the solution. The cumulative distribution function of a…

Q: x - 4y 10. dA, where R is the parallelogram enclosed by the lines x – 4y = 0, x - 3x - y

A: Given, the integral                   ∫∫R10x-4y3x-ydA Where R is a parallelogram enclosed by the…

Q: Factorize the matrix into LU decomposition. A=[ 054 512 123 Note; With complete solution

A:

Q: ) Let T : R? → R? be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps i…

A:

Q: Find the series solution of y"+ (1+x²)y=0 using the power series method.

A: We find the series solution of given DE  y"+(1+x2)y=0.....(1) ,  by using power series method.

Q: 4. You put 5000 dollars in a saving account that pays 2.5 percent interest annually. What is the…

A: From the given information, the principal is P=5000, interest rate 2.5% and the time is n years.…

Q: 9X2 Ś ス, t 9x, 363 メ」+ 4x2< 29

A: We have to construct a table of all basic solution of e system and difine as feasible and not…

Q: d Jcose d cose 'cos(r sin 0)]= [e* Telcom sin(tsin 0)]. (i) Show that t. %3D dt

A: (b) (i) show that t·ddtet cosθ cost sinθ=ddθet cosθ sint sinθ consider left hand side  t·ddtet cosθ…

Q: g(x) (-0.8. 8.2), (0.5, 3.1) 2 (2.1,-4.1) Look at the graph of g(x) above. Calculate the average…

A:

Q: y= (x-p)(x-r) and p+r=4.Find the x coordinate of the vertex of the parabola. O a. -2 O b. 4 O c.…

A:

Q: -2 1 y = f(z) 14 17 105 Hence find:

A:

Q: (3a) Let n E Z. Prove that if 3 ł n, then 3|(n² – 1)

A:

Q: (; 3s + 8 s2 + 2s +5

A: Some of the properties of inverse Laplace  L-1ss2+a2=cosatL-1as2+a2=sinatL-1F(s-a)=eatL-1F(s)

Q: (a) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

A:

Q: Let X be a continuous random variable with PDF 2x 0 < x < 1 fx(x) = {0 otherwise Find the expected…

A:

Q: find DA and AD, if possible, where D = D,(3,0,2, –1) and A is the given matrix. 2i 1 1+i 1 3i 8. i A…

A:

Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

A:

Q: ove the following: 1. FT(f(ax)) = F(=) a

A:

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A:

Q: Consider the function f (z) = e8? (a) Use the Cauchy-Riemann equations to show that f (z)is not…

A: Analytic function,. C-R equations

Q: Font Paragraph Styles Editing Voice Editor Reuse Q–2: a) Let U = {x: x is an integer and 2 7},B =…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 4P- Problem 7. Show that for each prime p 2 5, the integer m, = " is a pseudoprime to base 2.…

A:

Q: (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bæ + ca² + dæ® + ex* which…

A: