Q4/ Solve the following set of linear equations using (LU) method. 3x₁ - x2 + 2x3 = 12, x₁ + 2x₂ + 3x3 = 11, 2x₁ - 2x2 - x3 = 2

Q: Q5] Show that F(x, y, z)= +3xz² k is a conservative vector field and then find the work done in…

A:

Q: 3- Evaluate the double integral ¹5 dydx. 3x4 a) 32/5 b) 14/3 5√x c) 41/15 d) 39/5

A: The given double integral .The aim is to solve the integral value.

Q: 72+J16M=34 M==4

A:

Q: Q2: Evaluate dw dv and w = xy + lnz , x = dw du v2 U at given values of v &u by using the chain…

A:

Q: Q.4// Solve the following system of linear equations using matrices: x+y 2z = 3 3x-y+z=0 3x + 3y +…

A:

Q: Find the root of the equation by Newton-Raphson method. f(x) = sinx- x+1 x-1

A: Given:The given equation is .To Find:We have to find the root of the given equation by using the…

Q: b) 2* +2-**-3<0

A:

Q: Q3/Solve the following set of linear equations using the Gauss-Seidle method. 5x₁ + x₂ + 2x3 = 8, x₁…

A:

Q: QI) Evaluate (four only) : (a) S dx (e) S X-1 dx Vx2-2x+1 (b) O stectx tanx 4+secx (d) S e*cosx dx…

A: As per company guidelines we are supposed to answer only one question with at most three subparts at…

Q: Q1/ Evaluate the double integral as given in the following function and table by numerical solution.…

A: The given table is:X   | Y0.511.522.544.44.64.855.266.36.66.97.27.588.48.89.29.610To find: The…

Q: Q2: Find all the local maxima, local minima and saddle points of the func f(x,y) = 2 lnx + Iny -…

A: A critical point of a function of two variables  is a point where the partial derivative ofthe…

Q: Q3/ using method of least square fit a curve of the form y-ab* to the following data (X, Y):…

A:

Q: قيمة العبارة r.2 - 5.2 عندما 2 = تساوي: أ) 4 ب( 6 ج( 16 د( 20

A:

Q: مشتق باستضا كفعل الدوارع

A:

Q: Q3: For the following cash flow pattern, determine 1- the present equivalent value 2-the future…

A:

Q: For r(t) = (3sint)i + (3cost)j + 4k Determine: 1. The unit tangent vector (T). 2. Principal unit…

A:

Q: Q4/ Find the directional derivative of the function F(x,y,z)=x+xcosz-ysinz+y at the point P.(2,-1,0)…

A: The given function is; F(x,y,z)=x+xcosz-ysinz+y

Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: A. By using Euler formula, for the following initial value problem calculate the approximate value…

A:

Q: Find d as a function of t if x = t², y = t³ - 2t³ +1.

A:

Q: Evaluate the following indefinite integrals. 1. f sec ³ x dx

A:

Q: 1- Sinx fincl y! 1+ Sinx

A: We have to find y' where it is given that y=1-sin x1+sin x Here two function are in ratio so we need…

Q: The curves y=lnx and y=lnx and y=2lnx and the line. line X=e, in the first quadrant? dutor ans; I…

A: Given  The curves y=lnx and y=2lnx and the line x=e, in the first quadrant.

Q: 5. } -2 f(x).dx where −x,x20 f(x) = {-5²-3,220} x³ + x,x≤0

A: ∫-23fxdxfx=-5x4-x,x≥03x5+x,x≤0

Q: = Evaluate ff3y³ exy dx dy

A: Given,f(x,y) =First integrate by xSubstituting the limits

Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B

Q: 2- Change the integral √√1+3x²+3y² dA to polar integral where D is the lower half of x²+y²=9. -2π a)…

A:

Q: b- Solve with naive Gauss elimination X + 2x2 - x3 = 2 5x1 + 2x2 + 2x3 = 9 %3D - 3x, + 5x2 - x3 = 1

A: