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Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: Use the graph on the right to answer the following questions. a Estimate the pressure at altitudes…

A: The data points from the graph is0,30,5000,27,10000,21,20000,16,30000,10WE have to use the linear…

Q: Use a linear approximation to estimate √8.75. Leave your answer in exact form. Show all of your work

A: Solution

Q: Let R1 and R2 be the relations represented in the matrix. 111 1 100 1 0 1 1 1 11 0 0 0 1 1 0 1 0 R1…

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Q: Determine the multiplicative inverse of 11 in Z24. Your final answer should be an element of (0, 1,…

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Q: Find the laplace transform of ?(?) = sin(2?) cos(2?)

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Q: Use the binomial series to expand the function f(x) = and state the radius of convergence. (1+x)4 as…

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Q: hod is used to so +6x8 = 0. Tak e solution obtai

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: To determine the speed of the car at 65,72125.

Q: (a) Show that V(x, y) = ln(1 + x²) + y² is a Lyapunov function for the system x'(t)= x(y-1), y(t)=-…

A: As per your query the solution of the part (a) of problem 4 has been given in the next step.

Q: (a) Write the general solution. (b) Classify the critical (equilibrium) point (0,0). (c) Sketch the…

A: This is a problem of critical point analysis. Stability analysis.

Q: a. Show that if a, b, c, d = Z with a +b√2 = c+d√2, then a = c and b = d. You may use, without…

A: We have to show the following ; (a) if a, b, c, d ∈ℤ  with  a+b2 = c+d2,  then  a=c  and  b=d. (b)…

Q: 0.x 1

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Q: Problem 8.2. Each part of this problem contains a double integral. In each case, you should first…

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Q: 5-7. D(x) = 2(x - 3)² is the price, in dollars per unit, that consumers will pay for x units of an…

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Q: The diagram below is composed of a square-based right prism topped by a right prism with a…

A: Given that, the object composed with square based right prism topped by a right prism with…

Q: QUESTION 3 4 31 Let A = 2 -5 4 and B = 915 (a) A +6B (b) BT 100 340. Compute the following. -253

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Q: A mass weighting 48 lbs stretches a spring 4 inches. The mass is in a medium that exerts a viscous…

A: To find  An equation for the objects displacement u(t) in feet after t seconds.

Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

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Q: Let F(x) = e dt. Find the MacLaurin polynomial of degree 5 for F(x). 0.18 Use this polynomial to…

A: Given that  Fx=∫0xe−4t4dt To find MacLaurin polynomial of degree 5 for F(x) and to estimate the…

Q: 7x + 5y 3z = 16 3x - 5y + 2z = -8 5x + 3y - 7z = 0

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Q: [6] 7. Let A = {1, 2, 3, 4, 5, 6}. Let R and S be the relation defined on A as follows: R = {(a, b)…

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Q: In the following exercises, compute at least the first three nonzero terms (not necessarily a…

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Q: (a) Use differentiation to find a power series representation for 1 F(x) = (4 + x)² 00 f(x) = = Σ…

A: To find-  Use differentiation to find a power series representation for fx = 14 + x2. What is the…

Q: Let fn be the n-th Fibonacci number of Example 3c in 8.1, k=n k=n Σ'=1+2+...+ B₁=k²= 1² +2²+. k=1…

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Q: The laplace transform of f(t) = t^3 (sinh 2t − cos 2t)

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Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: Fleury's Algorithm Use a theorem to verify whether the graph has an Euler path or an Euler circuit.…

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Q: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

A: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

Q: Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for…

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Q: 3t

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Q: Find all solutions of the equation in the interval [0, 21). csc 0-2.3134 If there is more than one…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: The population of an endangered species of rhinos in 2002 was estimated to be 192,699 rhinos. By…

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Q: Problem 8.2. Each part of this problem contains a double integral. In each case, you should first…

A: (c) The given integral is: ∫3/23∫09-x2(x2+y2)dydx (i) Our task is to convert it into the polar…

Q: HIY x+y+1 1. Let f(x,y) (a) f(2,1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y) Find:

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Q: Exercise 6. Prove that if f [a, b] : interval. → R is continuous, then f([a, b]) is a closed and…

A: 6. Given that f : a,b→ℝ is a continuous function. To find: f a,b is closed and bounded interval.…

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

A: Q5 asked and answered.

Q: Determine how many times the innermost loop will be iterated when the following algorithm segment is…

A: for i:= a to b for j:= c to d [Statements in body of inner loop. None contain branching statements…

Q: Click and drag on elements in order Suppose that A = {1, 2, 3, 4, 5 } and B = {1, 3, 5). Let R₁ =…

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Q: When = 90°, a form of the Law of Cosines reduces to Heron's Formula. Select one: True O False…

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Q: 2. In the topic of mensuration for secondary syllabus, we teach pupils that the volume V of a right…

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Q: Now, solve the following problems involving radiation: 2. A man has been exposed to 1 mGy each of…

A: Please check the next step for details

Q: is basis for the subspace W. Step1: Start the Gram-Schmidt process from the first vector to get an…

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Q: c) 2x, +8X2 -Х3 +9х4 =9 X, +3X2 -2х3 +5 Хи 3X, +5Х2 - 12Х3 +17Х4 = 7 че

A: The given system of linear equations…

Q: 15. Solve for Quartile 2. Class LB 28-30 27.5-30.5 31-33 30.5-33.5 34 36 33,5-36.5 Frequency 887 7…

A: The formula for the second quartile Q2 is given by  Q2=l+N2-cff×h where l is the lower class…

Q: QUESTION 2 10 2 Suppose A is a matrix with A-7 HEHE and A-3 6 9 0 0 (a) Find two solutions to Ax=…

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Q: Divide the interval [0, 1] into n equal subintervals. For the resulting partition Pn compute U(f,…

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Q: 3 2 ý' = ÿ. -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 3 i 5 5 A₁ = i…

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