. Derive the Adams-Bashforth Three step method by the following method. Set Yti+1 = Yt, + ah f(t;, Yt,) + bhf(t;-1, Yt,–1) + chf(t;-2, Yt;-2) (3) y expanding yt41; f(t;-2, Yt;-2) and f(t;-1, Yt;-1) in Taylor series about (t;, Yt;) and equate he coefficients of h, h² and h³ to obtain a, b and c.

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

A:

Q: 3. Let d= = [( ) ( ) ( ) ( )], B = [1, 2, 2²), v = (¹). " (a) If f(x)=x²-3x+2, compute [ƒ(x)]ß. -1 2…

A: Our objective is given below:

Q: 17. The function y Vx -4 +6 is horizontally stretched by a factor of , reflected in the y-axis and…

A: Given : y = √(x-4) +6 To find : The equation of the transformed function if the function is a.…

Q: Question 4 Consider a consumer who consumes three goods, 1, x2 and r3. The consumer's consumption of…

A: Given: x1(p, s, w, y)=p2yw-sy=0             x2(p, s, w, y)=3yw-1sw=2             x3(p, s, w,…

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1b=-2c=5Explanation:

Q: If f(x, y) = 4x² – 7xy + 3x, then is given by: af - O 8x 8x – 7x + 7y + 3 - O 8x 8x – 7x – 7y + 3 -…

A: The solution of the problem is given in the next step.

Q: (a) Find the domain of V4 – 3w R(w) = w + 2

A: Please complete your question b part its incomplete. What is l ? Here I'm doing (a) part only.

Q: 20. Determine the domain and range of y = V f(x). The statement above is best completed by the…

A: Domain is set of all points of X-axis, for which function is defined. Range is set of all points of…

Q: 3. Show that f(x, y, z) fxx + fyy+fzz = 0. = 1 x² + y² + z² satisfies the equation

A:

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: Find fx and fy. f(x,y)=-6e' 7x-5y fx (x,y) = fy(x,y) =

A:

Q: products 1 and 2.Andrea has an initial endowment of ( ω 1,ω 2 ) = (80,80), and initial prices are 4…

A:

Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: Q5: If f (x, y) = 6x , g(x,y) = x - 3y find Vf,Vg,V(fg)

A:

Q: Find (f – 9)(y) if f(y) = 5y² – 2y + 1 and g(y) = -3y? – y –2. O (f – 9)(y) = 8y² – y + 3 O (f –…

A: Given 2 functions : f(y)=5y2-2y+1g(y)=-3y2-y-2 We need to find f-gy. Let's begin.

Q: Q3) Given x(t) and (t) as below find and draw y(t) X(t) -1 -2 2 1 h(t) 2 2

A: ANSWER:

Q: r(0)=, find v(t) and r(t).

A:

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: a) Find as when s = 1,t = 1 for f (x, y) = x³ – 3xy - 6x + 6y,x = 2t + s, %3D %3D y = 2s - t.

A:

Q: Suppose product i (i  1, 2) costs $ci per unit. If xi(i 1, 2) units of products 1 and 2 are…

A: As per the question, we aim to determine the optimal quantities of two products, given their…

Q: lim t→l 1+√t+ √t+√t t² + 1 + 1 t³-2

A: I have solved step by step in detail...and I have written answer up to simplified…

Q: If f(x,y) = In(x?y² +3x) find- дудх O a. 12x?y (x²y² + 3x)? O b. 6x?y (x2у2 + 3x) Ob. 6x²y (x²y² +…

A:

Q: 8x3+2x Find f(-3) if f(x) : TT T Arial 3 (12pt)

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let X be N(0, 1)and Y be N(0, 9) , with X and Y independent. Let Z 2X – 16Y, and let W = 3X3 + 4Y5…

A:

Q: 1-t2 -i+ t+2 j+ In(t + 2)k. Find the domain of r(t) t2+1

A:

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

A:

Q: (a) If X and Y are independent with p(0) = 0.5, py(1) = 0.3, p(2) = 0.2, and p,(0) = 0.1, p,(1) =…

A: If X and Y are independent then the joint pmf of X and Y is defined as P(x, y) = PX(x).PY(y) for all…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.