Find the maximum of f(x) = 4x – 1.8x2 + 1.2x³ – 0.3x4 using Newton's method %3D (xo = 3, ɛs = 1%).

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of…

A:

Q: Find the quadratic function f(x) = ax + bx +c that goes through (2,0) and has a local minimum at (0,…

A:

Q: Kim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t =…

A: The objective here is to check whether Mean Value Theorem can be applied to show that at some point…

Q: find the orthogonal trajectories of the family of curves x2+y2=a2

A:

Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

A:

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

A:

Q: Suppose a person wants to travel D miles at a constant speed of (30 + x) mi/hr, where x could be…

A:

Q: find a cubic function f(x)=ax3+bx2+cx+d whose graph has a relative minimum at (0,1) and a relative…

A: Let the given cubic function

Q: At waht x does f(x) have a local(relative) maximum?

A: A function f(x) is defined for x values there are local maxima and local minima in the given curve.

Q: 10. t(x) = Vx+3+4

A: Given function t(x)=x+3+4

Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

A:

Q: The maximum value of y = sin x, 0 <= x <= 2p, isand occurs at x =__________ .

A:

Q: y = x – 2 + Ce* X-

A:

Q: Solve using linearization using one digit approximation only 1) f(x) = V5

A:

Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

A:

Q: write a cubic function y=ax^3+bx^2+cx+d that has a local maximum at (4,0) and passes through (1,-1)

A: Consider the cubic function: y=ax3+bx2+cx+d…

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

A:

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x -…

A:

Q: Find the relative maximum and minimum values. f(x,y) = 3x² – 4y?

A:

Q: 5) What is the maximum value of y = 5 Cos 4x ?

A:

Q: Find the orthogonal trajectories of x² + y² – 2cy = 0

A:

Q: Q1: Use ewton- Raphson method to estimate the Yoot of fcx) = x -x -1 , emp loying an initial %3D…

A:

Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 4x…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations using the initial…

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Find the maximum of U.  Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to…

A: Given, Ux,y=x+3y+5 with the constraint Vx,y=3x+2y-30.Using Lagrange mulitplier'sUx=λVxy+5=λ3y=3λ-5…

Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

A:

Q: 2. Find the orthogonal trajectories of the family of curves x2 + y² = 2my where m is a constant.

A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…

Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…

Q: Find a cubic function f (x) = ar + bx2 + cr+ d that has local maximum value of 28 at x = -1 and a…

A: to find:- cubic function f(x), hence the value of a, b, c & d.

Q: What do you mean by asymptotically stable for autonomous equations ?

A: Given: asymptotically stale for autonomous equation A critical point x∘ of an autonomous system is…

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of              f(x)…

A: The Newton Raphson method is used to solve an equation numerically. When the extremum of a function…

Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: Find the maximum and minimum attained by f(x, y) = 3xy + 2x + 3y in x2 + y < 1. You must use…

A:

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

A:

Q: At what value of x does the curve y = x(x – a²)(x – b²) have a local maximum?

A:

Q: Find a root of an equation f(x) = x^4-2 using Halley's method.

A:

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Use the method of variation of parameters to produce a general solution of the inhomogenous equation…

A:

Q: (x) = 5sin2x

A:

Q: Find X1 & X2 using Newton's method to minimize x2 – y2/2 starting from (1,1)

A:

Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k.

Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Find the minimum and maximum of the function y = z – 1280z on [-5, 5] by comparing values at the…

A: The given function is

Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of              f(x)…

A:

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…