(b) The front body vibration vertical displacement, d of a moving train after departed from a station is shown in Table Q1(b). By using Newton Divided Difference Method, estimate the vertical displacement produced when time, / = 1.2 s. Table Q1(b): Front body vertical displacement of a moving train. Vibration vertical displacement, d (m) 0.03 -0.16 0.1 0.23 Time, 1(s) 1 1.3 1.4 2.23

Q: 1.) For each pair of matrices A and B below find out wither the moduct AB is defined. If it is, find…

A: The given problem is to check whether the product of given matrices is defined , if it is then find…

Q: nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C…

A:

Q: Suppuse y= X² 7 the region R is boundeel by Curres. 2 ₁ y=x²₂xy = 2xy = 4 + - 1 Find dx dy in terms…

A:

Q: If the planes x-cy - b3 = 0, cx - y) + az = 0 bx + ay - 3 = 0 passes through the a straight line,…

A: The given equations of the planes are, x-cy-bz=0, cx-y+az=0 and bx+ay-z=0. Given equations of the…

Q: 2.) Is the matrix, A = 120 240 1 Invertible? Explain your answer.

A:

Q: 11. Let F: R² R² be defined by F(1,0) = (2,4) and F(0, 1) = (5,8). Find → the matrix A representing…

A:

Q: P... 144 £(+).m... 7 t -3 for 3 to... far as £ 3. 4 (+) $ -t t 2P=6 ……………….………………. *****

A: The given function is: ft=-tfor -3<t<0tfor 0<t<3 We have to find the Fourier series of…

Q: dy 4. -+x-y dt 2r+212

A:

Q: 1. 14-4x² Sketch the solid whose volume is given by fő evaluate the triple integral. √4-= 2x dy dz…

A:

Q: Find 3 a whose polynomial nonzero roots as monic polynomial in R[X] of degree and 4ti. Write the…

A:

Q: Consider the system    x_1=x_2,                                      x_2=-(x_1+x_2)- h  (x_1+x_2)…

A: As per the question we are given the following dynamic system : x1' = x2 x2' = -(x1 + x2) - h(x1 +…

Q: Find the domain of the vector valued function. r(t) = 3/(t-4) i + sqrt(3-t) j + ln|4-t| k.

A: Given vector valued function r(t) = 3(t-4) i + (3-t) j + ln|4-t| k We know domain of a vector valued…

Q: 10. Given a partial differential equation (PDE) a²uxxxx = utt where u = u(x, t) and a² is a…

A:

Q: 4) Consider the function from T: R³ → R² given by X T: y = x + 2y - Z x+z Z (i) Show that T'has the…

A:

Q: The total cost and the total revenue​ (in dollars) for the production and sale of x ski jackets are…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: 2. (a) Use the method of Laplace transforms to find the solution y(t) of the initial value problem…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: (b) Following the procedure in (a) to find the eigenvalues A, and A2, write the determinant for the…

A: Since there is (a) is not given completely, hence find the solution of part (b).

Q: 4. (a) Use the Method of Variation of Parameters to find the general solution y(t) of the…

A:

Q: Question. 1) The dimension of the subspace of P3 consisting of all vectors of the form at³+bt2 +…

A: Given that 1) The subspace of P3 consisting of all vectors of the form at3+bt2+ct+d, where b=3a-5d…

Q: ditive subgroups. Draw the lattice diagram of subgroups and COMPLETELY list down the maximal ideals…

A:

Q: Find the steady-state current of the circuit given in Problem 4.

A:

Q: H.W/ let S= [[3] ; X70, ує a subset of R². IS of 1R² be Subspace J-Jubour

A:

Q: = 3 Consider the equation ï + ax + bx = 0 when b a², so that the characteristic equation has a…

A: Given Data: Let us consider the given equation is x..+ax.+bx=0 when b=14a2. Prove that:  This is a…

Q: find the sum of 1x (2-6) X (2-60²) + 2X (3-w) x (2- -+ (9-1'x (m-w) x (m-10²); ها Buln rest of Orite

A: A

Q: Recall that Pn is the vector space of polynomials p(x) of degree at most n with real coefficients.…

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first…

Q: Use grouping symbols to clarify the meaning of the symbolic statement. q rvp q^p www With grouping…

A: We know that ↔ operator is the most dominant, after this the order of dominance is as follows: ↔…

Q: H = {[x ут X||X, Y |x, y ez} EZ

A: We use the property 1x.x=x and then to find M2x2

Q: Pythagorean Problems Calculate the lengths of all of this triangle's sides. X = y = ☎ Exit Z= 64 cm²…

A:

Q: Suppose an ellipsoid is described by the equation + 16 9 4 volume of the ellipsoid on the first…

A:

Q: Given that sin (0) = - state the value(s) of in radians, correct to three decimals, such that…

A: Given, sin(θ) = -15 ;   12π≤θ≤52π   We have to find the values of θ in radians.

Q: Given the radius of a circle r = 4 cm and the central angle = Calculate the arc length (a) and…

A: The answer provided below has been developed in a clear step by step manner.

Q: Question: Consider the Sturm-Liouville problem dy λ d[x] + ² y = x y' (1) = 0 y'(e²¹) = = 0 Find the…

A:

Q: Find the standard matrix, A, for the following transformation E-H = x+y+z 2x-y+z ] 3 T: R³-R² given…

A: Rank-nullity theorem is used

Q: Use a CAS to perform the following steps for the sequences a. Calculate and then plot the first 25…

A: The given sequence an=8nn!. We have to find the first 25 terms of the sequence and then plot the…

Q: Sc F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y cos(x) - xy…

A:

Q: 4. Let the function f: R - {2} → R be defined by f(x) x-5 2x - 3 Prove that ran(f) = R-{}}.

A: The given problem is to prove that the range of given function is Ran(f)=R-{1/2} . Given function…

Q: Problem: If v is an eigenvector of A with eigenvalue 3, show that v is an eigenvector for B = A²…

A:

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: Given That : Amplitude  =3 Period =π4  phase shift =π5 To Find : Transform equation of sine function…

Q: Which of the following statements is/are an implication/s of the Peano’s Axioms? I. There is no…

A: The following are the Peano's Axioms: Zero is a natural number. If a is a natural number, then the…

Q: £.(+).. 2 for TS t co for os t.<I 2 t

A: The given function is: ft=0-π&lt;t&lt;0t20&lt;t&lt;π We have to find the Fourier series for the…

Q: Given the equation A(t) = 12e -0.027t, where t is the time in months, calculate the corresponding…

A:

Q: Solve the system using matrices. x+2y=6 y-z=-1 3x-2z=0

A:

Q: A cone will be inscribed in a sphere of radius 10 in. Part A: Find the exact dimensions of the cone…

A: We will find volume of the cone in single variable and then maximize it by using 2nd derivative test…

Q: Prove that the Fourier series of the function f(x)=x2 converges uniformly to f(x) on the interval…

A: We are given the function f(x) = x2 .  Our aim is to show that the Fourier series of function f(x)…

Q: How many integral solutions of x₁ + x₂ + x3 + x4 = 32 satisfy bs x21 a) 3 ≤ x₁, 0≤ x2, -1 ≤ x3, and…

A:

Q: x+ 5x' + 6x=8 (1-4), x(0) = 20, x'(0) = 7 Solve the above IVP using Laplace Transforms and then find…

A: we have to find the solution of the given differential equation using Laplace transformation.

Q: +88 ⒸOZZYTHAI LI... ? Help

A:

Q: Let f : [a, b] → R be increasing on the set [a, b] (i.e., f(x) ≤ f(y) whenever x &lt; y). Show that…

A:

Q: o. Evaluate the integral fo+sinz dz, where C is any simple closed contour taken in the positive…

A:

Q: Find the answer and simplify. If possible, write the answer in its rectangular form. Log(3 − 3√3i)

A: