Plan to use Newton's method to approximate solutions to the equation 9^x +3x^3 + 2x.  Using the initial approximation  of x0 = 3, what is the subsequent approximation of x1.

Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

Q: What happens in Newton’s Method if your initial guess happens to be a local min or max of f ?

A:

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: Use Newton Raphson method to obtain a root to 3 decimal places 1.   x^3-5x+3=0 2.   sinx=1-x

A:

Q: A light is hung 6 meters above a straight horizontal path.  If a man 2 meters tall is walking toward…

A:

Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

A:

Q: PLEASE USE EXCEL. 4. Find all solutions of e²x = x + 6, correct to 4 decimal places using the Newton…

A:

Q: 4. What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in…

A:

Q: Use Newton Raphson method to obtain a root to 3 decimal places :  sinx=1-x

A:

Q: 4-(+ズ)

A: In the given question we have  to write the given function  into the series form. In the question…

Q: dx Tx-1 4

A:

Q: 14. Starting with x = 4 apply just two steps of Newtons Method to estimate 2, show work

A: Let given that,                    x=2⇒x2 =2Let   f(x) =x2-2=0    and given that  initial root, x0 =…

Q: Use Newton's method to find the root of the function 2X³+6X²+6X-1=0 if Xo=-0.5 correct to 3 decimal…

A: As per the question we are given the following polynomial equation : f(x) = 2x3 + 6x2 + 6x - 1 = 0…

Q: What happens if you apply Newton’s method to the function ƒ(x) = x?

A: we have to apply newton's method on the function ƒ(x) = x

Q: 3x ン

A:

Q: At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PMit reads 50 mih. Show that at some time…

A: Given At 2:00 PM a car’s speedometer reads 30 mih. At 2:10 PM  it reads 50 mih.

Q: If the radius of a circle increases by 3%, use differentials to approximate the increase in the area…

A: radius of a circle increases by 3%,

Q: use the Newton's Method to solve the equation x+lnx=2

A:

Q: Use Newton's method to approximate the indicated root of x*+x-9 = 0 in the interval [1, 2], correct…

A: According to Newton's method, the root of some equation f(x)=0 can be obtained by: xn+1=f(xn)f ' xn…

Q: Starting with x = 4 apply just two steps of Newtons Method to estimate 2, show work

A:

Q: A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline…

A: Given a lighthouse which is located on a small island 3 km away from the nearest point P

Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…

A:

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: An object is thrown upward from a height of 960ft960⁢ft with an initial velocity of…

A: The equation for the object's height 'h' at time t seconds is given by h(t)=-16t2+V0t+h0 Where V0 is…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

A: Let y be the distance of lighthouse from nearest point on the shoreline and at time t, the beam…

Q: Use Newton's method to estimate the solution to sin(theta) = 1- theta/2 up to four iterations.

A: Given function is: f(θ)=sinθ+θ2-1 Rewriting function in other variable: f(x)=sin x+x2-1 Newton…

Q: 3 dx V16-x²

A:

Q: Use Newton's method to obtain a root for x^3 - 2x + 5 = 0

A:

Q: Use Newton-Raphson Method to find the root of x²-2x²–5 = 0 between [1, 4] accurate to five decimal…

A:

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: use newtons method with an initial guess solution of 1 to find the next approximate solution to the…

A:

Q: Find the cube root of 48 by Newton-Raphson method correct up to 4-decimal places.

A: Consider the equation, x=4813x3-48=0 let fx=x3-48 then f'x=3x2 the formula of the Newton-Rapson…

Q: What is the iterative function for Newton's method?

A:

Q: Use Newton’s method to approximate the indicatedroot of the equation correct to six decimal places.…

A: Given the equation is x4 - 2 x3 + 5 x2 – 6 = 0 and the roots of this equation lie in the interval…

Q: Find the root of the equation Cosx-x' = 0 near to 0.5 using Newton-Raphson method correct up to 3…

A: To determine the root of an equation using Newton-Raphson method, first choose an initial value x0…

Q: The critical speeds of oscillation, à, of a loaded beam are given by the equation: 23 – 3.25022 + 1…

A: W have to use Newton's method to solve the value of lambda.

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 18 cm high and…

A:

Q: Exercises to solve: 1. fx² In(x + 1) dx 2. (x2 + x – 2).cos4x. dx 3. Se-*sinxdx 4. S sinh2x.cosh5x…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use newtons method to approximate a root of the equation e^(-x) = 5 + x correct to eight decimal…

A: Use newtons method to approximate a root of the equation e(-x) = 5 + x correct to eight decimal…

Q: The two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement…

A:

Q: Use Newton's method to find the positive root of the equation x2 –- 2 = 0 to five decimal points.…

A: The positive root the equation x2-2=0 to five decimal places is obtained by Newton's method. The…

Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline…

A:

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: Find the approximate value of  4th root of 82 using approximate formulas. Round off your answer to 6…

A: We have to find the approximate value of 4th root of 82 using approximate formulas. 4th root of 82 =…

Q: Please show exact work on how to solve this.

A:

Q: The side of an equilateral triangle increases at the rate of 2 cm/hr. At what rate is the area of…

A: Value=?

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.