Why does Newton's method consistently outperform gradient descent?

Questionl i. What is Structural mechanics? ii. Distinguish between Statics and Dynamics, clearly stating what laws form the basis of these concepts. iii. Using graphical method, add the following forces and show the magnitude and direction of the resultant force. Compare the resultant with the analytical method. a) 6N 90° to the positive y-axis b) 7N 40° from the x-axis, c) 816grams, d) 4N at 30° North of West. e) 5N at 20° from the negative y-axis. Question 2 Explain the following, use relevant sketches, diagrams and examples i. resultant force ii. parallelogram law of forces. iii.. Collinear forces iv. Coplaner forces v. Concurrent forces vi. Lami's theorem vii. Unit Vector viii. position vector. xi. Free Body Diagram x. Reactions at different support Question 3 i. With the aid of a diagram derive a mathematical expression for the magnitude and direction of the resultant force R, of two forces which can be represented by sides of a parallelogram. ii. Derive Lami's Theorem with the…

Estimate area of a circle with R = 1m using finite element method concept usingupper bound approach and simple triangle element. Compare the sensitivity analysis (meshconvergence) of the upper bound and the lower bound approach. Find the number ofnodes/elements that would result in an optimum answer. Please help me! Also make sure to show me the optimum answer and to compare the analysis. Thank you!

Locate the centroid of the plane area shown if L = 126 mm.   the centroid of the plane area is: X bar =       mm? Y bar =       mm?   Note: please consider everything. Refer to the image for more clarity. On occasions, I receive wrong answers!!. Kindly please show X bar and Y bar and the final answer in " mm " in the step by step working out please. Appreciate your time!. Side note, the Y bar is wrong in the image please show how to attain the correct Y bar. Alongside, the X bar which is already correct in the image. Please show organised working out so its easier to follow. As this question gets messy and confusing!. Thanks again!

(Civil Engineering Mathematics) * Gradient of a Scalar Field. Directional Derivative How does learning it help us?

4. Got it wrong, what's the correct answer?