2y" (t) + 3y (t) + y(t)=0;y (0)-1 and (0)-2 3. Find Initial value and Final value of.

Q: (b) The front body vibration vertical displacement, d of a moving train after departed from a…

A: Given  Time,t(s) Vibration vertical displacement,d(m) 1 0.03 1.3 -0.16 1.4 0.1 2.23 0.23…

Q: 1- Which one of the following is equivalent to 3 mod7 a. 73 b. 31

A: Answer given below.

Q: ƒ(t) + 2 * ƒ(1) cos(t − 1)dt = 4e¯t + sint

A:

Q: v=x²e=x + 4e²

A: Given solutiony=x2e-x+4ex

Q: If a metal ball is heated to 80C and dropped into water that is held at constant valor of T-20°C,…

A:

Q: Find the answer and simplify. If possible, write the answer in its rectangular form. sinh−1i

A: Let  sin h-1(i)=u   ⇒   sin h(u)=i                                   ⇒    eu-e-u2 = i…

Q: Show by contradiction that if a number "x" is irrational, then 1/x must be also irrational.

A: Answer given below.

Q: QUESTION 6. The 75 teachers on the faculty of Democracy College have filled out ballots in the form…

A: The candidates are Mike the mathematician, Beverly the Biologist, Helen the Historian, Sophia the…

Q: (a) find the Minimum of x 18 W q +4 (3) If lage (a+b) + lega(c+d) 29 for xeR 24 21 them find the…

A:

Q: Find the center of mass of the cone, assuming that its density at any point is proportional to the…

A: Given: The height of a cone is h The radius of cone is r0. To find: The center of mass of the cone.

Q: can you solve and answer me asap

A:

Q: Relations: 1. In set of all integers, a relation R is defined as follows: aR b iff "a = b+1". a. Is…

A:

Q: armonic meang and 3 alferma are alternatively, înserted be them t prove

A:

Q: Consider the function F: RR defined by cos(xt) () == // F(x):= dr for xER. a) Show that F is…

A: As per the question we are given a function F : R → R in integral form and we have to show that :…

Q: The rate of change of the area of a circle with respect to its radius when the diameter is 6 cm is

A:

Q: Consider the recurrence relation (m + 3)(m + 2)am -2(m+3)am +9am-6, where m € [6,00) and am are the…

A:

Q: Determine whether the infinite series converges absolutely or conditionally.

A:

Q: Consider a case in which X0 = 9,078. Using the mid-square method, i). Determine the first 10 random…

A: Given: X0=9078   (i.) To determine: The first 10 random numbers using the mid-square method. (ii.)…

Q: y = e-³x cos3x

A:

Q: Corollary 4.3. Let f(x) € Z[x] and {m₁,...,m} be positive integers such that they are pairwise…

A:

Q: Identify the type of each given statement. . "Square of any real number is non-negative" "x-0 is a…

A: To identify the type of each given statement. We know that, A predicate is an expression of one or…

Q: = cos yx² - cos xy² the If w=z³ -xz-y and z= cosy (3x), -----

A: Given That : w=z3-xz-y and z=cosyx2-cosxy2 To Find : ∂w∂xy "As per the policy, we are allowed to…

Q: Find the Fourier series of the function f(x)=cos2x.

A: Given: fx=cos2x To find the Fourier series of the given function.

Q: Let f(2)= ze² (z - Ti) 4 Verify that mi is a pole of f of order 4. Determine Res f(z). 2=Ti

A:

Q: Find the unit tangent vector of the given curve. 1. r(t) = (3 - 2t) i +(2t - 8) j + (3 + t) k 2.…

A: Unit tangent vector can be defined as, let C be smooth curve represented by rt on an open interval…

Q: Let R be an equivalence relation on domain D = {1,2,3,4} It is given that [1]=[2] What must be TRUE?…

A:

Q: Du(x) = x ( 4 + Sin (2x)) - 0 xultidt

A: Fredholm equation is defined as the equation in the integration over the fixed general region. The…

Q: Find the arc length of the graph of the function over the indicated interval.

A: Given the function fx=2x32+3. To find the arc length of given function on the interval 0, 9. The arc…

Q: 6. [²3 Find the eigenvalues and eigenvectors of A =

A:

Q: Show that if f(x) > 0 for all x ∈ [a, b] and f is integrable, then ) b a f > 0.

A:

Q: a-x a- y = qy px YZ prove that x, y, z are in H.P. If a-z and p, q, and r are in A.P., then If a, b,…

A:

Q: determine two linearly independent solutions to the given differential equation on (0,∞). Q.…

A:

Q: Use Simpson’s Rule with to estimate the arclength of the curve. Compare your answer with n=10  the…

A: The given curve y=cos x on the interval 0≤x≤π2. We have to find the arc length of the curve using…

Q: Usmo Jourth order runge - Kutta method compute y (1.5) ナ is satisfice the differential uchero…

A:

Q: ti y Compute y (0.4), y (005) by by corrector method where differentif egam tron dy / 4 = zet-y and…

A: y'=2et-y t 0 0.1 0.2 0.3 y 2 2.01 2.04 2.09

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: (b) Find the equation of a plane containing the line of intersection of the planes and x+y+z = 6 2x…

A:

Q: 9. Let P3(C) be a vector space over C and let D: P3(C)→ P3(C) be the differential operator defined…

A: Since you have posted a multiple question according to guildlines I will solve first (Q9)question…

Q: Find the mass and center of mass of a lamina like the image below, where the density is known δ(r,…

A: As per the question we are given a lamina having inner radius of 1 and outer radius of 3 The mass…

Q: Prove that 1 1 ¹+(¹+0)+(¹+) +- 200 1+ (₁ + 3) (1) 5 5 5² 2² 9

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

A: Answer given below.

Q: d²V = f(x) 0<x<L dx² = f(x) V(x = 0) = V₁ V(x = L) = V₂

A:

Q: 1. Let C be the circle |z − 1| < 2 taken in the positive sense. Evaluate the following integrals: Jo…

A:

Q: Q3-B: Verify the Kummer transformation: U(a,c;x) = x¹-U(a-c+1,2-c;x)

A:

Q: Find the differential equation such that y(x) = (x − 1) [c sin(ln(x+1))+c cos (In(x+1))] Od²y +2 dx²…

A:

Q: A and B are N×N matrices with eigenvalues α and β, respectively. Under what condition/s will the…

A:

Q: Prove that 3! 2(n+3) = = n r=0 (-1) 1 n "Cr r+3 Cr

A:

Q: Proof: 1. Prove that for any x integer (x + 5) is odd (3x + 2) is even

A:

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

A:

Q: using the equation E: Y=16 -X² 9. sketch the graph of E in R³ b. Find the equation of the surface…

A: y=16-x2