Show that y=cx-2 is a general solution of xy' = y +2, where c is an arbitrary constant and find c if y(1) = 3.

Q: Solve the IVP. Answer in explicit form. Determine the interval of validity for your solution. ODE:…

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Q: C) d) e) Another periodic waveform is defined by 4t 7 = 0 g(t) = 0<t<T/2 T/2≤t<T with g(t+mT) = g(t)…

A: Since you have posted multiple questions, so according to Bartleby Q&amp;A policy, we will provide…

Q: Given the exponential growth function y = 89(1.05)* What is the initial value of the function? What…

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Q: d) Using the table of standard transforms, find the inverse Laplace transforms of the following…

A: We have to find the inverse Laplace transform for the given parts

Q: okay but according to your answer if i substitute 0 since its included in the interval i should get…

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Q: y'-2 xy=2 y (0)=1

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Q: 1. Maria is She eats 444 of the leftover pi -ides to run 5G lnh like to run on an outdoor trail…

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Q: Problem: cot (x) csc (x) dx

A: We have to solve the integration.

Q: A dietician is planning a meal that supplies certain quantities of vitamin C, calcium, and…

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

Q: b) Another periodic waveform is defined by g(t): (ii) t Ost</ T st<r with g(t+mT) = g(t) and m is an…

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Q: Part G Given the same coordinate system as the one shown in Part F, what are the components of C?…

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Q: The statue of Smokey the Bear is a landmark in Revelstoke. At 8.3 m from the base, the angle of…

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Q: Directions: Consider the following differential equation and function: Differential Equation:…

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Q: The Fibonacci sequence is defined by Fi = F = 1 and F. - F-1 for n>2. Show that F, is even if and…

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Q: Consider the differential equation y" = e ²² + xy where y is considered to be a function of . In…

A: y=ex22+cy′=xex22y″=ex22+x2ex22

Q: Consider the system: 2x+3y+z=-1 3x+y+2z=2 -x+2y-3z=-3 (a) Find the reduced row echelon form of…

A: Given system is2x+3y+z=-13x+y+2z=2-x+2y-3z=-3(a) We have to find the reduced row echelon form of the…

Q: Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If…

A: Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year.

Q: The graph of y = 2x4 - 3x³ + 2x² + 5x + k, where k is a constant, is shown in this figure. Which of…

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Q: Evaluate the following limits. If necessary, enter INF for ∞o and -INF for -∞. a) lim (6x⁹ + 2) = =…

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Q: a Ex let G fropirrazz H.W. Show this set for Ere Qircost √ =

A: We know that Dedekind cuts are defined as follows.A set  is a cut if: contains at least one rational…

Q: Fine the amplitude, period, phase shift, and vertical shift. Then graph the function. a) f (x) = 5…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Let a, b, r, s be given constants with a and b nonzero. Prove that the arithmetic progressions {ax +…

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Q: y' Find an explicit solution (y = f(t) form) to the initial value problem y(2) = 1. y'

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Q: A population of bacteria is growing rapidly, each day increasing by 10%. The original population of…

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Q: Type a digit that makes this statement true.795,49 is divisible by 8.

A: The objective of the question is to find a digit that makes the number 795,49_ divisible by 8. The…

Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

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Q: *26) WHICH FIGURE IS LEAST LIKE THE OTHER FOUR? Select the letter of the figure that is most…

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Q: If R is the region bounded above by the graph of the function f(x) and below by the graph of the…

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Q: 400 36.9 300 0.053 Solve for the missing angle. 50 95

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Q: Determine if the given system is consistent. Do not completely solve the system. = 8 2X1 3 4x1 -3x2…

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Q: The board of an Internet startup company has fifteen members. If one person is to be in charge of…

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Q: A number L is called a common multiple of m and n if both mand n divide L. The smallest such L is…

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Q: Determine if b is a linear combination of a₁, a2, and a3 where 0 2 -57 5 11 5 a1 = -2 2 , a₂ = , а3…

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Q: what is an example of an infinite nested collection of closed intervals whose intersection is a…

A: we have to give an example of an infinite nested collection of closed intervals whose intersection…

Q: The solution is X || of the linear system 1 2 3 2x +3y X -Y -2 3x +2y − 3z -2 ← ← - || ₂ y = and z =

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Q: Solve the following LP Maximize $4x + $3y  Subject to            2x + 4y ≤ 80…

A: We will solve the Lp with graphical corner point method Note - Maximum 3 sub part are allowed to be…

Q: (5) Solve the initial value problem where (1+x²) dy dax + 2xy = f(x), y(0) = 0, f(x)= › = { x if 0 <…

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Q: A city's population can be modeled by the equation y = 29, 760e-0.021t, where t is the number of…

A: The objective of the question is to find the projected population of a city in the year 2032 using…

Q: Let p(x) = ax + an-1xn-1 +...+ a₁ + ao be a polynomial function with n ≥ 1 an even integer and an a…

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Q: A pyramid at the Muttart Conservatory in Edmonton has a square base with 25.70 m sides and is 24.00…

A: The given square pyramid has base  and its height is .The aim is to find the slant height .

Q: Evaluate: lg 512 =

A: To solve the given  problem, Let  us  recall  the  following important fact:Proof: Suppose that .…

Q: Find the effective interest rate re for investments with the following annual interest rates.…

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Q: Suppose that p is a prime integer greater than 1468. What is the largest possible value of (p,…

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

Q: If f(x) = amx + am-12-1 +... •+ a₁x + av bæn +b₁-12-1+... thi tho lim f(x) = lim If [Select] a…

A: If , with  and , then  and .To Fill in the blanks

Q: 1st-order linear equations a, b are given constants ≠ 0 Solve the equation

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Q: Suppose G is a group. We say that G has "middle cancelation" if, for any a, b, c, d, xe G, arb = crd…

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Q: Directions: Determine whether the following integral is divergent or convergent. • If it is…

A: Given integral isWe have to determine whether the above integral is convergent or divergent and if…

Q: Use the differential equation below to answer the following questions: y = y-2 PART 1. Find the…

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Q: Consider the following interpolating points for the function f(x) = x² - 2x: Xi 0 1 23 f(xi) 0 -1 0…

A: xi0123f(xi)0-103We are to solve the first 3 subparts of this problem:We use Matlab code for the…

Q: Need help coming with equation to find out possible combinations that fit following problem...…

A: To solve this problem, we will use a system of equations with two conditions.Let T be the number of…