Shifted data. y" + 2y' + 5y = 10 sin t if 0 < t < 2n and 0 if t> 2n; у(п) %3D 1, у'(п) %3D 2е " — 2

Q: If a third degree polynomial has a lone x-intercept at x = a, discuss what this implies about the li...

A: Given, If a third degree polynomial has alone x-intercept at x = a.

Q: -3 1 -2 3 Calculate the determinant by using row reduction: -4 4 2 1

A:

Q: The discriminant of a quadratic equation is 34. Which of the following is true about its roots? A. T...

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Q: Find the solution of the following differential equation. 1. (x² – 1) + 2y =

A: We will find out the required solution.

Q: Q4// Using Taylor Series method find, correct to four decimal places, the value of Y(0.1)& y(0.3). g...

A:

Q: 14A. How many quarts of water must be added to 10 quart of alcohol which is 95% pure in order to obt...

A: This question has three subparts. The solution to each one is explained below.

Q: 12 The cost of running a car at an average speed of V km h is given by c = 100 + cents 75 per hour. ...

A:

Q: Determine the degree of the Taylor polynomial Pn(x) expanded about a = 1 that should be used to appr...

A: Let us first find the Taylor polynomial Pn(x) of the function ln(x) about a=1. fx=fa+f'a1!x-a+f''a2!...

Q: Simplify the square roots and combine like radicals. 7/8 +4/18 7/8 +4/18 = O

A: We know that 8=22, 18=32    

Q: Divide. remainder 20)740

A:

Q: In which direction does the altitude increase most rapidly at the point (300, 300)? Your answer mayb...

A: Part (d): The altitude remains constant along each curve. It rapidly decreases along the direction i...

Q: ** = - knlu) + c =) then 4 y = heme Cis mte rton const art.

A:

Q: 2. A tautology is a statement that is always true, regardless of the truth of its component value, a...

A: (d). Given,                (A∨B)⇒A  

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none ...

A: We will solve the problem using the concept of logistic growth .  

Q: (PYQ) ^ (. VR) + (PVQ)

A:

Q: If X = {a,b, c}, let T1 = {0, X, {a}, {a,b}} and T2 = {0, X, {a}, {b, c}} . Find the smallest topolo...

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Q: Prove that if a e R, then a 0 = 0 = 0 · a. Suppose x, y, z E R. Show that xz = yz if and only if eit...

A: We will prove the given statements.

Q: Functions f(x) = 5"-4 and g(x) = 1 + 2x are given. Determine (f o g)(3).

A: The given functions are                                             f(x)=5x-4                    and...

Q: 2: Show that the equati on z +pz -q° = 0.p, q eR has no solution, with its imaginary %3! part not eq...

A:

Q: Advanced Math Question

A: The given matrix is A=011101011. Its column are a1¯=010, a2¯=101 and a3¯=111. The standard basis are...

Q: The Hermite polynomials form an orthogonal (not orthonormal) basis with this inner product: (Hm[Hn) ...

A: Given:                                   fx=x3                          Hm|Hn=∫-∞∞HmxHnxe-x2dx=π2nn!...

Q: 2. In order to hear what is said in a football huddle, a listening device is set up on the sideline....

A:

Q: (B) Solve the following simultaneous equations: dx 2-3x ++4y = e?t dt dy dy dx + 2x+2-y 0 dt dt dt

A: Given, the simultaneous equations:       2dydt-3x+dxdt+4y=e2t        dydt+2x+2dxdt-y=0       

Q: In each part following, a rule is given that determines a binary operation * on the set Z of all int...

A: There are 4 binary operations given on Z. In each case associativity, commutativity, identity and in...

Q: 1 -2 3 1 5 -9 3 Calculate the determinant using expansion by the second row: -1 2 -6 -2 8 1 6

A: Let A=abc  def  ghi , then the determinant, |A|=aei-fh-bdi-fg+cdh-eg .

Q: Find the solution of the following differential equation. 4. 2æ³y' y (y² + 3x²)

A:

Q: Prove an isometry on C maps parallel lines to parallel lines without using the geometric concept of ...

A: We need to prove that an isometry on ℂ maps parallel lines to parallel lines. We will use the method...

Q: 2. A national park has eighty thousand, nine-hundred twenty-three and eighty-six hundredths acres of...

A: Word problems.

Q: Create a Taylor Series for y =sin(x2) centered at x = 0 and a series for y=ln (√x) centered at c = 1...

A: Taylor series

Q: Question 1 Solve the following Integer Programming problem by Branch and Bound Maximization method. ...

A: Branch and bound method  for solving a linear programing Consider the  given integer programming pr...

Q: (B) Solve the following simultaneous equations: dx + 4y = e2t dy -Зх + 2 dt dy + 2x + 2 -y 0 dt dx -...

A:

Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e      

Q: 7) Consider the vector space of odd real periodic function f:R R where domain of these function are ...

A: Please check step 2 and 3 for solution.

Q: Show that the set of all pairs of real numbers (x, y) with the operations (X1, Y1) + (x2, Y2) = (x1 ...

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Q: 2. a) Let V == R[r]<n be the vector space of real polynomials of degree at most n. Define a function...

A: Axioms of Euclidean space: Let R be a vector space, let V be a vector space over R. V×V→R that is (x...

Q: Formulas: s= Initial x ( 1+r)_ Decibels = 10log_( ? X 1.26 ) dec. 1. If my salary in 2012 started at...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Find the differential equation for the following families of curves. 1. All circles. 2. Horizontal e...

A:

Q: Which of the following quadratic equations has rational, equal and real roots? A. 9- 6x + x² = 0 B. ...

A:

Q: Find the amplitude, period, and horizontal shift of the function. y = 3 + 2 sin(5(x + 4)) amplitude ...

A: We will find out the required values.

Q: Advanced Math Question

A: We have to find the partial fraction decomposition of the fraction s+1s2+4s+1 in the form of As-α+Bs...

Q: The heights of Sydney, Ada, and Ria were 155cm, 158cm and 161cm, respectively. What is the height of...

A: Given that, The heights of Sydney, Ada, and Ria were 155cm, 158cm and 161cm respectively and the val...

Q: 1) Find the equilibra and sketch the phase line of the autonomous ODE u' = u*(2 – u). Determine the ...

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Q: 1. Use the Maclaurin Series to approximate the function f (x) = In(1+ x) using each of the combinati...

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Q: With the aid of the Wron &ian, determine 3. weathor the following Get of funotlons fundtions, 2. 2. ...

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Q: Consider a country with a 6 states and 40 seats in the House of Representatives with populations dis...

A: In this method the divisor is the total population per house seat . After every  state's population ...

Q: g Question: What is position value after 45 minutes? Use your graph to answer this question h. Quest...

A: The ordered pair x,y is a point on a graph that implies that x is a point on the x-axis and y is the...

Q: Advanced Math Question

A: A set A is said to be neighborhood of a point x∈ℝn , if there exist a positive real number r&gt;0, s...

Q: Give an example of a statement equivalent to a conditional statement coming from advertisements (TV,...

A: Let us consider   Conditional statement: If the candy is Twix then it will melt in your mouth and no...

Q: (2) Consider the matrix -[: ] A = Find the unique x, y E R, such that A? = xA – yI (where I represen...

A:

Q: 4. Find L-1 2s-3 s2-3s+2

A: