Question 3: What is the advantage of using elemental Lagrange basis functions in terms of the structure and quality of the system matrix as opposed to using a global polynomial sequence (e.g. x, x2, x3, x4, etc.).

Define Logarithm of Time Method.

Components: In the figure, the magnitude of vector A is 16.0 units, and the magnitude of vector B is 18.0 units. What vector & must be added to the vectors A and B so that the resultant of these three vectors points in the -x direction and has a magnitude of 7.50 units? Use vector components to find your answer, and express vector Ć by giving its magnitude and the angle it makes with the +x- axis taking counterclockwise to be positive. 1. 30.0° B ་ ཀར X

solve the following problem with the correct answer please, please make sure to show all work so I can understand..

Please do not give solution in image format thanku If you want to do your scale model presentation in such a way that BOTH the size AND distance scaled are correct, how far apart would your squishy stress ball Moon and your answer to the previous question need to be? HINT: Multiply the diameter of the scale model Earth that you chose in the previous question by the number of Earth diameters that would fit between the Earth and the Moon.   Answer choices:   A- You'll need to put one against one wall and hold the other one across the room 240 inches or 20 feet apart   B- You will need a volunteer from the audience so you can hold them 72 inches or 9 feet apart   C- You could hold them both in front of you at 16 inches or about 1.3 feet apart   D- You'll need to tell the kids to use their powers of imagination because the separation would put one of them in the parking lot outside the science center 3600 inches or 300 feet away

(Civil Engineering Mathematics) * Surface Integrals Try to detail how it can be applied in life

can you please answer the following questions on the picture please.

(b) Express the force F as a Cartesian Vector. Assume that the magnitude of F is |F| = 771 N.Please see the figure attached.

Consider a region in 2-D Cartesian coordinate plane that is bound by the x-axis, the line x = 1, and the curve y = x³. Determine the coordinates (x, y) of its centroid from the origin.