Question: The values of a function (f(x, y, z)) and vector field (mathbf{F}(x, y, z)) are given at six sample points along the path (A B

The values of a function $f(x, y, z)$ and vector field $\mathbf{F}(x, y, z)$ are given at six sample points along the path $A B C$ in Figure 18. Estimate the line integrals of $f$ and $\mathbf{F}$ along $A B C$.

Point (1,2,0) (1, 1,0) (1,3,0) (1,1,1) (1, 1, 1) (1,1,2) f(x, y,z) 3 3.3 3.6 4.2 4.5 4.2 F(x, y, z) (1,0, 2)

A = (1, 0, 0) N C = (1, 1, 1) B=(1, 1,0)

Point (1,2,0) (1, 1,0) (1,3,0) (1,1,1) (1, 1, 1) (1,1,2) f(x,y,z) 3 3.3 3.6 4.2 4.5 4.2 F(x, y, z) (1, 0, 2) (1, 1, 3) (2, 1,5) (3, 2, 4) (3,3,3) (5,3,3)

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We write the integrals as sum of integrals and estimate each integral by a Riemann Sum That is begin... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!

If your client told you that she just found out she is HIV-positive and does not plan to inform her partner, what would your stance be concerning her right to confidentiality vs. your duty to warn?...

Figure 4 shows the graph of a function f that has a continuous third derivative. The dashed lines are tangent to the graph of y = f(x) at the points (0, 2) and (3, 0), Based on what is shown, tell,...

Figure 5 shows the graph of a function f that has a continuous third derivative. The dashed lines are tangent to the graph of y = f(x) at the points (0, 2) and (4, 1). Based on what is shown, tell,...

CSCI 5525 MACHINE LEARNING, Fall 2017, Prof Schrater Homework 1 September 27, 2017 1. For data (x, y) with a joint distribution p(x, y) = p(y|x)p(x), the expected loss of a function f (x) to model y...

MGHW5 for info; Bisection Method: Newton's Method: Secant method: This assignment deals with root-finding algorithms and should be done using the code from MGHW5. It is recommended that you take the...

Calculus 3 (Math-UA-123) Fall 2016 Homework 5 Due: Thursday, October 20 at the start of class Please give complete, well-written solutions to the following exercises. 1. The figure on the left shows...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Suppose that $\mathcal{S}$ is a surface in $\mathbf{R}^{3}$ with a parametrization $\Phi$ whose domain $\mathcal{D}$ is the square in Figure 14. The values of a function $f$, a vector field...

854 CHAPTER 15 DIFFERENTIATION IN SEVERAL VARIABLES 9. 20. Jessica and I at 2 oh ; h (x , y ) = -, x = 1/2, y = 1712 paths that make a with velocity va 10. "J : f ( x , y , Z ) = xy - 22, x = rcos0,...

Ethical Issue: You work for a large corporation with headquarters in a small town. Recently you received shoddy repair work and a huge bill from a local garage. Your cars transmission has the same...

Using a discount rate of 8% per year, find the future value 21 years from today of an annuity stream with annual payments, in which the first payment of $106 occurs immediately, and the last payment...

To hedge translation exposure, MNCs could _ _ _ _ that their foreign subsidiaries receive as earnings to create a cash outflow in the currency to offset the earnings received in that currency.

What issues are being addressed and what issues are raised through legislative solutions to employment of those with criminal convictions? How could they be handled using ethical models and questions?

Approximate the following integrals using Simpsons Rule. Experiment with values of n to ensure that the error is less than 10 -3 . sin 6x cos 3x dx

A standard pendulum of length L swinging under only the influence of gravity (no resistance) has a period of where 2 = g/L, k 2 = sin 2 ( 0 /2), g 9.8 m/s 2 is the acceleration due to gravity, and ...

The length of an ellipse with axes of length 2a and 2b is Use numerical integration and experiment with different values of n to approximate the length of an ellipse with a = 4 and b = 8. 2T Va cos t...

Q4 4. Define activation records. Explain how it is related with runtime storage allocation. 5. Generate code for the following C program using any code generation algorithm

Assume that a parent company acquired its subsidiary on January 1, 2011, at a purchase price that was $320,000 in excess of the book value of the subsidiary's Stockholders' Equity on the acquisition...

Hello, Can you assist with the below? 3. Determining the Average Price Increase. In 1998, selected automobiles had an average cost of $12,000. The average cost of those same motor vehicles 10 years...