Determine the partial fraction expansion for the rational function below (S-1) (²-1)

Q: Using Midpoint Method, calculate y4 for the following: y' - xy² = 0, y (0) = 1, The solution for…

A: For a differential equation  dydx=fx,y yn+1= yn + h× fxn+h2 , yn+ h2 fxn,yn   where h is the step…

Q: 3x-1 x2-x-6 ≤1

A:

Q: The value of the constant a in third order Runge-kutta method U₁+1 = U₁ + ÷ (k₂ + ak₂ + 1 02 3 O 1 4…

A:

Q: 2. What are the two largest positive integers n satisfying n - 1 | n²-A?

A:

Q: d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

A:

Q: 8) y=x²+2x+1 and y = 3x +3 d The area of the plane region is?

A:

Q: B. Find a general solution of the following differential equation using Lapla y" - 4y + 4y =…

A: y''-4y'+4y=3sin(2t) where y(0)=1 & y'(0)=1

Q: e. To solve the 2nd order ODE, x y" - (x + 1) y' - y = 0, by series method, the indicial roots are…

A:

Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Sol

Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: Q/find the Domain and the range. ofthe function f(x) = _5X х2 -3х+4

A: We have Fx=5xx2-3x+4 Now, we factor the denominator. We have x2-3x+4 The solution of ax2+bx+c=0 is…

Q: 10. A small object is attached to the end of a string to form a simple pendulum. The period of its…

A:

Q: In Heun's Method, the value of agis O 1/3 O 1/2 O 2/3 O 3/4

A: In Heun's method, the value of a2 is: (i) 1/3 (ii) 1/2 (iii) 2/3 (iv) 3/4

Q: Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from…

A: From the given data, m=14 slugl=12 fty0=0 fty'0=-4 ft/sec The subsequent motion of mass is…

Q: Given that L{cos bt}(s) = S use the translation property to compute Leat cos bt}. s² + b²,

A:

Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

A:

Q: 7. The quadratic spline interpolating (-1, 0), (0, 1) and (1, 3) is Qo(x) = 1 + 2x + x², Q₁(x) = 2x…

A:

Q: a) In a school of 36 students, 19 of them studies Music and 16 studies Art. Each student studies at…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Use the transformations u = xy and v=xy* to evaluate ff xyd4 where R is the √√3 1 X region bounded…

A:

Q: For the following initial-value problem: ý=y+t²,1 ≤ t ≤ 3, y(1) = 2, h = 0.25, the method cannot be…

A: Sol

Q: Solve for за + ад ду-4 = 2- 24 Z 2 2 а 20-2

A:

Q: if v=[1:2:10]; then v= * O 13579 O 124810 246810 None of the above if v=[15,8,-6]; u=[3,-2,6]; then…

A:

Q: Find the equivalent DE for the given families of curve: all circles center at origin. O xy + y² = 0…

A: We will use the equation of family of all circles with center as origin to get the required…

Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

A: To Find: The coordinates tm& ym of maximum points of the solution of y''+9y'+20y=0, y(0)=7,…

Q: if a= [1 4 2; 5 7 3; 9 1 6], then C=det(a) = C = 89 C = -89 O C = 89.000 = None of the above if…

A:

Q: 9. In Legendre polynomials form, the basis of Chebyshev polynomials, T₂(x): (a) (4L₂(x) - L₁(x)) (b)…

A:

Q: 4 1) L-^ { 2x-3 5²-4x+8.

A:

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min 2 How…

A:

Q: The upper triangular matrix U in the LU decomposition of matrix given below 25 54 10 0 U11 0 0 1 0…

A: Given: 2554081601222=100l2110l31l321u11u12u130u22u2300u33 To find u12,  u22,  u33.

Q: Q3.B. Find a general solution of the following differential equation using Laplace transform. y" -…

A:

Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

A:

Q: By using Simpson's 3/8 Rule alone, one can approximate the area under a curve when the number of…

A: This question related to numerical integration.

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

A:

Q: A patient consult a doctor to check up his ill health. Doctor examines him and advises him that he…

A: We have to formulate the model to minimize the cost of tonics.

Q: 1. 2. ● . If you are saving money in a bank, which of the following is better for you? Bank A, which…

A:

Q: By using Simpson's 3/8 Rule alone, one can the area under a curve when the number of segments is any…

A: Simpson's 3/8 rule approximates the area under the curve when the number of segments is an odd…

Q: Problem 5. Find the Jordan canonical form of the following two matrices: 01 1 0 1 0 1 1 00 00111…

A: 5 Consider the given matrix A=0110100111000000000000000. We have to find the Jordan canonical form…

Q: Value of determinant is computed by adding multiples of one row to O another dimension O another row…

A: We know that , The determinant is defined as a scalar value which is associated with the square…

Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

A:

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8 (

A:

Q: Find the volume of the solid whose base is in the first and second quadrants bounded by y=16−4x2 and…

A:

Q: (a) i. Find Re{sec (x + iy)}.

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

Q: Determine £¹{F}. F(s) = 4s² - 14s +3 s(s - 4)(S-1) Click here to view the table of Laplace…

A:

Q: The Nueva Ecija Feeds Inc. Produces specially blended feed supplements. It has an order of no more…

A:

Q: Find the area of the region bounded by x = y³ - 4y² + 3y and the x = y²-y. 77 (a) A= square units 12…

A: Given curves are x=y3-4y2+3yx=y2-y The curves intersect when…

Q: In Ralston's Method, a2 is equal to O 3/4 O 2/3 O 1/3 O 1/2

A: Please see the attachment

Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

A:

Q: A linear transformation T : R 2 → R 2 first reflects points through the x1-axis and then reflects…

A: A linear transformation T:ℝ2→ℝ2 first reflects points through the x1-axis and then reflects points…

Q: c. A certain radioactive material is known to decay at a rate pr amount present. If after one hour…

A: Lets say amount of the radioactive material present at time 't' be 'N'.

Q: Solve the following first order differential equation using Linear method ty' + 2y = t²-t+1 y(1) = 2

A: