(5 points in total) For this question, we need more precision (more digits after the decimal...
T-Mobile 5:33 PM < Back MATH 1620 Pr… aビ Phase 2 In this phase, we will evaluate the integral numerically using the definition by Riemann sum. For numerical calculations, we will use MATLAB software. 3. First, use MATLAB to evaluate this time a definite integral. x ex dx = For that, type directly into command window in MATLAB: syms x; intx exp(x),0,2). Get the answer in a number with at least four decimals. Download an m-file, midPointRule.m, from Canvas and...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part of the surface -8-) above the plane z5 oriented upward Because the surface is a function of x and y, express F in terms of x and y only. Find dA Set up the iterated integral for flux dr de Evaluate the integral Flux through S (b) S2 is the horizontal disk of radius V3 centered at (0, 0, 5)...
Directions: Answer the following questions. Round probabilities to four digits after the decimal. For full credit, you will need to show your work justifying how you determined numerical values. You may consider adding additional blank space to this document, printing, filling out by hand, and then uploading a scan or pictures of your answers. You may also re-write these questions on a separate sheet of paper and use as much space as you need to answer the questions. Charles is...
I need these calculus 2 questions answered for me. I seem to be some kind of close but not quite there. Please answer BOTH question and I will upvote se a series to find the first five terms of tan-tx3dx b) Find the minimum found in part a) nccessary to approximate dx so that error < 5 × 10 s, and approximate the definite integral with a partial mber of terms. c) Find an upper bound of the lerrorl of...
Im not sure if this site uses MATLAB, but ill post the question anyway. MidPoint Rule In this phase, we will evaluate the integral numerically using the definition by Riemann sum. For numerical calculations, we will use MATLAB software 3. First, use MATLAB to evaluate this time a definite integral x ехах For that, type directly into command window in MATLAB: syms x; int(x*exp(x),0,2). Get the answer in a number with at least four decimals. . Download an m-file, midPointRule.m,...
These instructions are written with the assumption that code will be done in matlab. You might find the following built in commands useful: length, plot, xlabel, ylabel, title, legend, fzero, plot, disp, axis, axes, min, max. 2. Numerical Integration (Quadrature). Write FOUR of your own numerical integration routines. One should use left-end, right-end, or mid-points, another should use the trapezoid method, another should use Simpson’s method, and the fourth should use either Guassian Quadrature or Romberg’s method. Use your four...
need 1-5 Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from A(-1,3,9) to B(1,6,-4). a) Show that F is conservative. b) Find a function φ such that ▽φ = F c) Use the result of b) to find Ic F Tds 2. Let F(z, y)-(2), and let C be the boundary of the square with vertices (1, 1). (-1,1). (-1,-1 traced out in the counter-clockwise direction. Find Jc...
1. This problem is intended to take you through an example of how the optical dispersion formula obtained in class is often used in combination with experimental data to produce a useful expression for the refractive-index of a dielectric medium. We start from the expression for the frequency dependent refractive-index n() in which absorption is neglected This expression is valid for optical frequencies w far below the material resonant frequencywo >>w (a) Starting from the above, and using the relation...