2. Solve the following system of nonlinear equation using Newton's Method. (you can use MS Excel) X6 fi(x) = 0.5x1 + X2 + 0.5x3 X7 2 = 0 X7 f2(x) = x3 + X4 + 2xs - f3(x) = x1 + X2 + x5 X7 -- 3D f.(x) = -28837x1 – 139009x2 – 78213x3 + 18927x4 + 8427x5 13492 X6 - 10690- X7 = 0 fs(x) = x1 + xz + X3 + X4 + Xs - 1 = 0 fo(x) = 400x,x² – 1.7837×10$x,X5 = 0 f;(x) = x,X3 – 2.6058x4 = 0 %3D %3D

Q: The first derivative of f(x) 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√√(5x4 — 6x)³ A. = 5x² - 6x will be B.…

A: f(x)=15x4-6xwe know  (i) d dx(xn)=nxn-1

Q: Use the method of undetermined coefficients to find a particular solution of the constant…

A: In this question, we will find the Particular solution of the differential equations.

Q: Use newton-raphson method to solve f(x) = 2x2 + 7x - 10

A: Given that: f(x) = 2x2 + 7x - 10

Q: Solve   f(x) = 0-3e-1

A: Given that fx=0-3e-1   Using calculator, we get fx=0-3e-1=-3e=-1.103

Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

A:

Q: f (0), where f (x) = 101+x

A: fx=101+xf0=?

Q: f(x)=4x+3    Evalute and simplfy the following (round to 2 decimal places if necessary)…

A: Given,            fx=4x+3To find : Evalute and simplfy the following                 fx+h-fxh

Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

A:

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: f(x) = xv3+ 2 (-2)

A: Given: fx=x3+x2

Q: B- Find the fixed point and stability for the difference equation (map) Xn+1 = x + 1.

A: Given difference equation is  xn+1 = x2n + 1…

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: For P(x)=6x* –18x² +6x² – 30x +36 -

A: given that P(x)=6x4-18x3+6x2-30x+36

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: If f (x ) = 2r -1/2 then f(x) equals ?

A: The solution is given below.

Q: The cost of a class field trip is $15 per person, plus $50 for a bus ride. Which function can be…

A: Given  Per person charge =$15 So charge for x students = 15x Additional charge = $50

Q: VT-x- 5 | f(x) = 6.

A:

Q: If H(x) = 4x* - 8x + Vx, then find H (x).

A: Find derivative of H(X)