2. Let f C (R) such that f(xo) = f'(xo) = 0 for some ro R. Find the error term associated with the following difference scheme: 4/3f(xo +3h) — 6ƒ (xo + 2h) + 12ƒ (xo + h) h4 What smoothness conditions on f does your analysis require? f(4) (xo) ≈

Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

A: Since, these equations are of the form  (x - a)2 + (y- b)2 = r2  which means both the equations are…

Q: Find the value of c such that S xe = 3.

A:

Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

A:

Q: Г1 о 2 4 = 0. Find x, if [x -5 -1] 0 2 1 2 0 3 %3D 1

A:

Q: 7. Find Lt V1+P

A: Introduction :

Q: 4=6xt -11 t.

A:

Q: 2.Rerolue 3r?+2 12 4+6n 12nt18 mto partial pachión

A:

Q: x²y" + xy' – 4y = 2x*

A:

Q: 09. Find the most for the function general antiderivaine

A:

Q: 1 Q 2. Differentiate h(x) = (V+ -2 IX

A: The equation can be re written as,

Q: Minimize F = x² +y² with x + 2y = 20. O a. F= 20 O b. F= 72 c. F=2 O d. F= 80 e. F= 60

A:

Q: When x = 2s+7t, y=5st and z= 3.x2 – 3, in the form of s and t. express

A:

Q: express J , in term of J 1 2 2

A: Use the standard results of Bessel functions to solve this problem.

Q: Solve Xa. 14 4. 7 -2 X1 5. -3 20 9 -6 X2 4 7 -1 20 9 18 X3 %3D 19 -8 -4 13 -2 X4 14 -1 13 -4 -4 X5…

A:

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: K dt ²-10t + 29

A:

Q: - S e-ttat1-1 dt a # 1 a '0

A: We use the definition of the Gamma Function to solve the given question.

Q: 1. Solve ,analy hically., the fallowinng differencerequ. a. C- YCK+3) +2 y(km2) +oi45y(k+i) +0105…

A: As you require, we will solve this question on the given difference equation purely analytically.

Q: 1 ·5² 6² (+2²³ +²² dx dy. (1 0 0 3. Compute

A: 3. Given that the double integral is                          ∫0∞∫0∞1(1+x2+y2)2dxdy.

Q: 5. Save for x T 6. Salve for y. (25y-5 (20x)

A:

Q: A = B = 1 8 The linearization at a = 0 to √9+ 5x is A + Bx. Compute A and B.

A: Linearization  of f(x) at a is given by  L (x) = f(a) + f '(a)(x - a)

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

A:

Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

A:

Q: 10. If CD = 5x – 2 and AB = 2x + 18, find %3D AB B.

A:

Q: Determine h if V = 1.1535 m³ and r = 1m using Fixed point iteration on the given convergent…

A:

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: xy W=Ze y=8+tZ-St (Hiw) at

A:

Q: Integrate I x² √x6 +25 dx + C

A:

Q: Approximate (26)"3 by using a linear approximation.

A: Approximate (26)^(1/3) by using a linear approximation

Q: 国~ Let aj = a2 -24 and b: For what value(s) of h is b a linear combination of aj and a2?

A: Explained below

Q: Evaluate f(2Vx +=) dx 3 4 X2 ++ c 3 A. - 3. -x2 - x +c 3 4 С. -X2 - 3 D. + 2x5 + c 1/5 B.

A: Integrate normally

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: II. Evaluate the following. 2. z = (1+j)~j3 3. z = -j3(0.6-jo.8)

A: To Evaluate: z=(1+j)-j3

Q: Find x and y. 17 4 11 4 17 4 2x + 1 4 -3 18 12 15 -3 18 12 3x 2 4 2 Зу — 14 (х, у) %3D

A:

Q: II. Find the value of x and y. 1. 4x + j(3y + 4) = 21 + j7 2. 3x + y + j(2x + 2y) = 13 + j10

A: Given equations are 1.  4x+j3y+4=21+j72.  3x+y+j2x+2y=13+j10 Solving for x and y.

Q: 15) Find SR E S 艹 R 2x - 14 F H x+2 D

A:

Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.