[Q1] For the floating ball problem shown in the Figure below; Water The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation that gives the depth x in meters to which the ball is submerged under water is given by x'-0.165x +3.993 x10 = 0 Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton- Raphson method of finding roots of equations to find a) the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. b) the absolute relative approximate error at the end of each iteration,

Question
[Q1] For the floating ball problem shown in the Figure below;
Water
The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation
that gives the depth x in meters to which the ball is submerged under water is given
by
x'-0.165x +3.993 x10 = 0
Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton-
Raphson method of finding roots of equations to find
a) the depth x to which the ball is submerged under water. Conduct three iterations to
estimate the root of the above equation.
b) the absolute relative approximate error at the end of each iteration,
Expand
Transcribed Image Text

[Q1] For the floating ball problem shown in the Figure below; Water The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation that gives the depth x in meters to which the ball is submerged under water is given by x'-0.165x +3.993 x10 = 0 Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton- Raphson method of finding roots of equations to find a) the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. b) the absolute relative approximate error at the end of each iteration,

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Other

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Find a power series representation for the function and determine the radius of convergence: f (x) =...

A: According to the given information, it is required to find the power series representation of the gi...

Q: Consider the following existential statement.Theorem: There is a real number that is equal to its sq...

A: Square number:   If any number is multiplied by itself then the obtained number is the square number...

Q: Determine the value of x, y, and z using Cramer’s Rule

A: Given, system of equations is-                        x+y+z=4                      2x-3y+z=2        ...

Q: 13

A: Click to see the answer

Q: Show M={A in M2,2| |A| =0} is not a vector space under the usual addition and scalar multiplication ...

A: We will show M={A in M2,2| |A| =0} Is not vector space by exhibiting two elements A,B belongs M but ...

Q: Write negations of: ) Tom is Ann's brother and Jim's father. )) If Tom is Ann's brother, then he is ...

A: According to the given statement, it is required to write the negations of the following statement. ...

Q: For each matrix A below, describe the invariant subspaces for the induced linear operator T on F^2 t...

A: Click to see the answer

Q: How to find 27th prime number  using Formula's

A: Click to see the answer

Q: Differentiate the function F(t) = arcsin(In(t)) - arctan(3t) – arccos(/2).

A: Click to see the answer

Q: (-1)" is convergent or divergent. If convergent, classify the series as 00 Σ 9. Determine if n=1 abs...

A: Click to see the answer

Q: A helicopter makes a force landing at sea. The last radio signal received at station C gives the bea...

A: First, we will make the graphical representation of the above-given information. Note:  

Q: A shaded region S is bounded by the curve y = the x-axis, the vertical lines x = 1 and x = v2. The x...

A: According to the given information, it is required to calculate the volume the solid of revolution f...

Q: use propositional logic to prove the arguments valid; A′ → (A → B)

A: Click to see the answer

Q: Can you look question 7 part b? Thanks,

A: Click to see the answer

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that num...

A: Click to see the answer

Q: Mr Babar sold an item for Rs 6454 at a loss of 8.5%. Find the selling price of the item he sold at 2...

A: Click to see the answer

Q: Match the solution region of the following system of linear inequalities with one of the four region...

A: Click to see the answer

Q: 2. Use integration by parts to establish the reduction formula: Sx" cos x dx = x" sin x – n x"-1 sin...

A: Click to see the answer

Q: Let q = a/b and r=c/d be two rational numbers written in lowest terms. Let s=q+r and s=e/f be writte...

A: Click to see the answer

Q: The corner points for the bounded feasible region determined by the system of inequalities shown bel...

A: Click to see the answer

Q: Can you answer A please

A: Click to see the answer

Q: Find Convergence interval f redius Pollowing series Por と Cxす。 the of A the ftest the end interval t...

A: Click to see the answer

Q: 3. Find the center of mass of the solid cube given by [0, a] × [0, a]x [0, a] with density function ...

A: Click to see the answer

Q: . Solve the following LP model by Simplex Method and find x1, x2 and x3.  Max Z= 4x1 + 2x2 +2x3     ...

A: Click to see the answer

Q: Find the point lying on the intersection of the plane x + y + 4 z = 0 and the sphere x2 + y2 + z2 = ...

A: Determine z from the equation of plane.

Q: 2 4 -18 10 -1 4 A= -1 3 2 4 (1) Find basis for the row space and column space of the A, and dimensio...

A: Click to see the answer

Q: Question 24. Please explain as detail as possible, thanks.

A: Click to see the answer

Q: Let ℝ∞ = {(x1, x2, ...)|xi is real for all i} be the set of all real sequences. Define addition as (...

A: Use the definition of vector space:   A vector space is a nonempty set V with two operations called ...

Q: Computing flux Use the Divergence Theorem to compute thenet outward flux of the following fields acr...

A: Click to see the answer

Q: Q4: Solve by using Separation of variables method? ди =k - for 0 0 at ´əx² u(0,t) = u(L,t) = 0 for ...

A: Click to see the answer

Q: Advanced Math Question

A: Click to see the answer

Q: Consider a geographic area divided into four regions, north, south, east, and west. The following ta...

A: Click to see the answer

Q: Linear Algebra - Linear Transformation Determine whether or not the following transformation T : V →...

A: Click to see the answer

Q: Advanced Math Question

A: Click to see the answer

Q: Suppose that y' = f(y) has no constant solutions, where f : R -> R is in finitely many times diff...

A: Click to see the answer

Q: Let A be an m x n matrix and B an n x m matrix. Prove that Tr(AB)=Tr(BA). Recall that if C=[cij] is ...

A: Click to see the answer

Q: Solve the following differential equation by using variation parameters method: y" + 6y' + 9y = 2 + ...

A: Click to see the answer

Q: Evaluate the integral s s 3. 2+

A: Click to see the answer

Q: Indicate whether the argument is valid or invalid. For valid arguments, prove that the argument is v...

A: According to the given information it is required to check whether the given argument is valid or no...

Q: Find the order of growth for the following function.  = (7n^5) + (2n^3) (log(n))

A: Click to see the answer

Q: ıs it true or false Let J be an n by n matrix in jordan form over the field Fp with p elements where...

A: Click to see the answer

Q: 7.The truth value of ‘ 4 + 3 = 7 or 5 is not prime. A. False B. True

A: The truth value of ‘ 4 + 3 = 7 or 5 is not prime is   True. As  4 + 3 = 7.

Q: Finding potential functions Determine whether the following vector fields are conservative on the sp...

A: Click to see the answer

Q: Complete the following using compound future value. Time 12 years, Principal $15,000, Rate 3 1/2%, C...

A: According to the given information,

Q: Solve the system graphically, and indicate whether the solution region is bounded or unbounded. Find...

A: According to the given information, it is required to solve the system graphically.