5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the homogeneous solution to be reduced to 23% or its initial value? Write your answer in scientific notation keeping three significant figures (eg. 1.24e-1). Do not include units.

Q: 3.27 The biaxial state of strain at a point is given by 11 = 800x10-6 in./in., 22 = 200×10-6…

A:

Q: List of points: 49 (-4 2.0) 1. 104 10 12 13 WITH 11 3 5 2. (-10,5) 3. (-8,1) 4. (-5,7) 2 -10 5. 6.…

A:

Q: determine all eigenvalues and corresponding eigenvectors of the given matrix.

A:

Q: Find the matrix A' = [LA]. Also find an invertible matrix Q such that A' = Q-¹AQ. (a) Suppose W₁ and…

A:

Q: Give a row-echelon form of the matrix A and give its rank: A = 24-2 -1 0 7 2 7 10 37 3

A:

Q: 2. Using the cost table data and route network shown, determine the traffic flow and other…

A: We have given road link and cost function ..and total trips between A and C is 200. With the help of…

Q: Find the critical value(s) of f(x)=8√x−x 2

A: Introduction: Different kinds of hypothesis tests can be calculated to determine a crucial value.…

Q: (10) LE (P

A:

Q: 2x^3y"-x(2-5x)y'+y=0 Find the general solution using a point at infinity

A: Given 2x3y''-x2-5xy'+y=0

Q: For a specific site, earthquakes above magnitude 7 have a return period of 500 years. We are…

A: Given Information: Design life of a Dam =  100 Years Earthquakes above 7 have a return period = 500…

Q: Show that al/bc, c to gives a/b ?

A:

Q: Let P be the orthogonal projection onto the line y = x. What is the first row of the matrix P? O…

A:

Q: Find the number of positive integer divisors of a) 36 b) 99 c) 144 d) 2-3-5-7-11-13-17-19 e)…

A:

Q: FIND A Δ= |4s + 2 0 -4s 0 9s +1 -3 -4s -9s 4s + 81

A:

Q: sin 2t, 0, 0 π

A: Given: A function, f(t)=sin2t,0<t<π0,t>π To find: Laplace transform of given function.

Q: Problems For Problems 1-14, determine whether the given set S of vectors is closed under addition…

A: Here , S=Q, set of all rational numbers. We check whether the set Q is closed under addition i.e. we…

Q: a) No one is perfect. b) Not everyone is perfect. c) All your friends are perfect. d) At least one…

A:

Q: 2. f(x) = sin(2x) + x², you are only given the following data x f(x) -0.1 0 0.1 0.2 -0.1887 0 0.2087…

A:

Q: Find the general solution, given that y₁ = 2² satisfies the complementary equation. Use c₁ and ₂ for…

A:

Q: Bart has matched the following logarithmic equation with the indicated graphs. f(x) = log (2): Graph…

A: g(x) match with A f(x) match with C

Q: Prove that bx q = b. ((Vt) - Vt), where q = V x t

A: We have to prove b→×q→=b→·∇t→Tr-∇t→ for q→=∇×t→ b→×q→=b→×∇×t→          =b→×∑i^∂∂ti×t→…

Q: Solve the general solution of the equation. y = -4 sec² x + e -4x

A:

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

A:

Q: Let D be a principal ideal domain and let p ∈ D. Prove that <p> is amaximalideal in D if and…

A: Given D be a principle ideal domain and let p∈D. We have to prove that pis a maximal ideal in D if…

Q: Question Two. Use spherical coordinates to evaluate • fff(x² + y² +2²)5¹² dv, where is the region…

A:

Q: Determine whether b is in the column space of A. If it is, then write b as a linear combination of…

A:

Q: Q8. Consider the following basis sets M and N 3 HUD 2 3 M = and N = -3 ∙1 5 Can the orthonormal…

A:

Q: What is the easiest way to find the Maclaurin series for the function f (x) = sin(x^2)?

A: Given function is fx=sinx2. We have to find the Maclaurin series for the given function. The…

Q: 2 3 B Road Link 1 2 3 4 5 Determine the trips assigned in all routes. 5 C Cost Function 0.3x₁ 0.2x₂…

A: There are six possible routes from A→C. i) Link 1→Link 4 ii) Link 3→Link 5 iii) Link 1→Link 5 iv)…

Q: Let E be the splitting field of f (x) = x pn - x over Zp. Show that theset of zeros of f (x) in E is…

A: Given E be the splitting field of fx=xpn−x over Zp. We have to show that set of zeros of fx in E is…

Q: Find an explicit solution of the given initial-value problem. 1 y(6) = 6 y = dy dx = y² x² - 1 -

A:

Q: A rancher has 120 yards of fence with which to enclose three sides of a rectangular field (the…

A:

Q: find the correlation coefficient.

A:

Q: Express the following statement in "if...then" form. Then write the statement's converse, inverse,…

A: No dirt is sufficient for no cleaning.      The above statement can be written as If there is no…

Q: (71) Suppose the distance AB is a kilometres and the distance TR is d kilometres Use the Law of…

A: (a) Given that, AB=aTR=d In right triangle ABT, ATAB=secαATa=secαAT=asecα In triangle ABR,…

Q: Question 20 4 If A is a non-singular matrix whose inverse is 1 A. OD OB O C O A 11 4 2 B. 1 2 4 2 1…

A:

Q: 9. A computer program is tested by 5 independent tests. If there is an error, these tests will…

A: Let us suppose that, A=Error found in the 1st test, B=Error found in the 2nd test, C=Error found in…

Q: For each row in the table below, use the given values to fill in the missing entries. If an answer…

A: We use trignometric ratio to find the value of given question  sin,  cos, tan

Q: 6) Let y = tan(3x + T -1. a) What is the period? b) Has it been translated up or down? c) Has it…

A:

Q: Exercise 10 Evaluate the limit lim x 0 (tan (3.x))² 4.x² Evaluate a limit using the Squeeze Theorem…

A:

Q: Let A = -5 6 -2 3 -11 14 and define T: R² → R² by T(7) = Az. Find T 5. Find 7 ([^;])-4-[-'₁). = A.

A:

Q: Find the domain of f(x, y) = √√x - 4 + ln(y³ + x).

A: Note-1 We should know that root function has always domain positive real numbers. Note-2 ln function…

Q: Determine the Galois group of x2 - 10x + 21 over Q.

A: We have to determine the Galois group of x2−10x+21 over Q. Let E be the splitting field of…

Q: Place the following functions in an asymptotically increasing order. n log(n!) nn > > > > > > >…

A: Given the functions

Q: Find the conjugate of the complex number below. Then find their product. 2+5i What is the complex…

A: Introduction: By simply altering the sign of the imaginary portion of the complex integer, you may…

Q: 4. Show that if n is a positive integer, then fo(n) (26 (n) $(2n) = if n is odd if n is even

A: Given n is a positive integer. To prove that ϕ2n=ϕn     if n is odd2ϕn   if n is even Use the…

Q: Determine whether the series Σ n=0 3 23 converges or diverges. If it converges, find its sum.

A: Convergence of the series

Q: Give the truth table of the following preposition and state whether it's a tautology, contradiction,…

A: Creating truth table for given preposition.

Q: Consider the sequence defined by ao = 0,a₁ = 1 and an+2 = 3an + 4an+1 for n ≥ 0. (a) Is this…

A: The sequence {an} is given by a0=0, a1=1, an+2=3an+4an+1  . (a).   Here, the sequence {an} is…

Q: The member of staff lives in Bermondsey in London. She has to speak at a conference in Birmingham at…

A: The train journey from Euston to Birmingham is 1 hour and 10 minutes. The meeting venue in…