Find the general solution of the given differential equation using variation of parameters. y" + 100y' = sec10t, π 20

Q: 5. Find a differential operator of lowest order that annihilates the given function. You may…

A: To find- Find a differential operator of lowest order that annihilates the given function. 4xe-3x +…

Q: The solution to the Initial value problem a" + 2x + 10x = 3 cos(4t), x(0)=0, x'(0) = 0 is the sum of…

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Q: 00 Determine whether the following integral converges or diverges. 2) Sort (7 (2² + 1)2 dz. QUESTION…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 29. t²y" - 4ty' +6y=0, t>0; y₁(t) = t²

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Q: Consider the two statements below: Statement 1: vx € Z¹, [(2x +1>3) v (2x²-12 1)] Statement 2: 3x €…

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Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $9 the…

A: We have to find the maximize revenue.

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Q: anges Worked: ent Scor mpts: Solve the given linear programming problem using the table method. A…

A: Fundamental  theorem of linear  programming  states that if a linear  programming  problem  admits a…

Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

A: Let s(t) denote the amount of sugar in the tank. The rate in is  2 gal/min × 1.5 lbs/gal = 3 lbs/min…

Q: 7. Let C be the portion of the circle x² + y² = 4 from (2,0) to (0, 2) traced counterclockwise. (a)…

A: We know if y=f(t) and x=g(t) then mass of the wire of an arc (f(t),g(t)) in a≤t≤b is given by…

Q: For any sets A, and B we can write an algebraic proof to prove that A– (ANB) = OB {} A - B Bc

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Q: C₁ ²² − (P+Q)t+PQ = 0. - duce that CP+ (P+Q)² > 4PQ.

A: Given that P,Q are two positive distinct real roots of quadratic equation t2-P+Qt+PQ=0 So,…

Q: Consider the system 71=-1+2i dt where x is a 2 × 1 vector. a) Find the eigenvalues r₁, 72 and the…

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

Q: Using the method of undetermined coefficients, The general solution of the differential equation y"…

A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

Q: Which of the following functions form a fundamental set of solutions of the differential equation y"…

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Q: this activity consider that you are in the landscaping consultant business for a company…

A: Given Data: Show the construction for the tangent lines and a water main Discuss the steps you used…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 2 Given integral is ∫−11x2+1dx. We have to estimate the given definite integral by using Trapezoidal…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola -8(x + 2) = (y + 1)². Focus…

A: Sol:- Parabola Directrix:-A parabola is the locus of points such that the distance to a point the…

Q: Consider the Venn diagram below. Which region will you shade to present the set Aºn (B – C) C…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: The radiation from a transmitting antenna is not uniform in all directions. The intensity from a…

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Q: What is the Laplace transform of 2?

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Q: 3 The following differential equation x³ x ³ (¹) ³ - homogenous D.E. True False -y=0 is a first…

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Q: 3) Solve following recurrence relations using backward substitution. a) T(n) = 2T (n/4) +1 b) T(n) =…

A: To find- Solve following recurrence relations using backward substitution. Tn = 2Tn4 + 1 for n >…

Q: A population of parasitic insects has infected the trees in local wooded areas. In a specific plot…

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

Q: 2- The work can be computed as: W = fp dv. Using a combination of the trapezoidal rule, Simpson's…

A: Solution:

Q: Differential equation: (t+4)y' +2y = 3(t+4)       t>-4 Please find solution.

A: Given differential equation is: t+4y'+2y=3(t+4), t>-4   To Find: solution

Q: 20-19-18-17-16-15. P -13-12-11-10-9-8 Find an equation for the graph above. -6 -5 19 Log 4+8(4) on…

A: Given is a graph To Find: An equation for the given graph

Q: (4 b Prove that 5 foxx dx = K (6-a) using definition of integral, where fø= k [a,b], on

A: Given function is fx=k on a,b. We have to prove that ∫abfxdx=kb−a. Take Left hand side  Use Property…

Q: Problem 1 Find the Laplace transform by definition of the following function: 1 0≤t≤3 2 3 ≤ t ≤4 0…

A: I have given the answer in the next step. Hope you understand that

Q: Use the method of variation of parameters to find a particular solution of the differential equation…

A: Use the method of variation of parameters to find a particular solution of the differential equation…

Q: Find the exact value of the definite integral below, using the substitution -1/2 X U = x- Let u = x…

A: Explanation of the answer is as follows

Q: Find the 45th term of the triangular numbers (1, 3, 6, ...) using the formula a b C d 946 990 1,035…

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Q: MILCEVOU d. If the graph of f(x) is symmetric about the x axis, then f(x) is e. If L-¹{f(s)} = f(t)…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

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Q: 2. Assume that there are three people (A, B, and C) and that there are only two kinds of people:…

A: Assume that there are three people (A, B, and C) and that there are only two kinds of people:…

Q: Finding the point that is closest to the point (2, 1,-1) among the points in the plane given by x +…

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Q: The tangent plane to the surface with equation at the point where (x, y) = (1,0) has the equation z…

A: According to guidelines I solve the first question only.So kindly request you to repost the…

Q: The length and width of a rectangle are 10 inches and 15 inches. Cylinders of revolution are…

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Q: ! Consider the nonhomogeneous differential equation: y" - 2y + y ==... (E). Using variation of…

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Q: Consider the statement: For all integers a, b, and c, if alb and blc then alc. The statement is…

A: We have to find if a divides B and B divides c then a divides c is true or not.

Q: Complete the chart and sketch a possible graph of the function labelling key points. f(x)=; :-4)²(x…

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Q: Find a formula involving integrals for a particular solution of the differential equation y" - 30y"…

A: We solve by Variation of Parameter.

Q: How many lattice paths start at (3,3) and (a) end at (10,10)? (b) end at (10,10) and pass through…

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Q: For any sets A and B, which statement is false? OA NA = {} OAUB CANB OAN BC B OA CAUB

A: Remark:  We know that The union of two sets A and B is the set of all those elements which are…

Q: Good

A: We use QR theorem.

Q: The general solution of the second-order differential equation y"-y'- 12y = 0 is:

A: given differential equation y''-y'-12y=0 lets solve using auxiliary equation

Q: Below is the image and question please answer the question and look at the problem carefully and…

A: Consider the given diagram, it can observed from the diagram that the circle-1 has radius of 6 and…

Q: Activity 2: Magic Circles A magic circle is a circular array of numbers arranged in a special…

A: Given, Magic circle in which the sum of numbers along each diameter is 18. To find the number in the…

Q: Let A = {x € R]−1≤ x ≤ 4}, B = {x € R| 4 ≤ x ≤ 6}, and C = {x € R|3 ≤ x 6}

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