Problem 1 Calculate the following integral. In order to receive credit you must show all your...
In order to receive full credit on these problems, you must clearly show all your work. An answer without justification will receive 0 credit. 1. (10 marks) Consider the subspace V = Span 11 [2] 5] - 1 [5] -71 [1] doo (a) Find a basis for V and V. (b) Find dim(V) and dim(V+). (c) Find a matrix B satisfying V = null(B). 2. (2 marks) True or False: If E is an elementary matrix, then nullity(A) = nullity(EA)....
You must show all your work to receive full credit for each problem. Final answers must be simplified and circled. 1. Complete the table below (use fractions not decimals!) and use it to graph the function f(x) = 3*. X у -2 Domain -1 Range O coordinates of the y-intercept 1 equation of the asymptote N
Question 18 For the following questions, you must show all work to receive full credit. Not yet answered Points out of 30.00 1 Vx da (a) Evaluate Jo 1 + x3 P Flag question poo e dx (b) Evaluate the improper integral Jo e2x + 1 er integrat (cº de toi cel Evaluate , * con lo) sin(as) de (c) Evaluate os? (x) sin? (x) dx (d) Evaluate the dx lo (e) Show work to calculate/justify why the following integral...
In order to receive maximum partial credit, please show all work and circle your answers. You must show some work on a problem to receive any credit for that problem. Please express all answers to 3 sig figs. An approved formula sheet is allowed. Problems are worth 17 pt each. Please pay special attention to the units given in each problem. All constants and conversion factors are available on the last page of the test. In Problems 1 & 2,...
Show all work to receive any credit. 1. Evaluate the following integral or state that it diverges. Explain.
Instructions You must show you work and/or explain your reasoning to receive credit for a problem. Answers must be written in LaTeX and submitted in Canvas as a compiled PDF. You can use the LaTeX file of the course notes, homework solutions, and examples in Canvas as a guide for how to write the needed expressions in LaTeX. For the birthday problem simulation, please submit a Python script as a separate attachment in your homework submission. Problem 1 Three high...
You must SHOW ALL OF YOUR WORK, including unit analysis, to receive full credit for each problem. It is often the case that the correct method of solution is more important than the numerical answer. 1. The speed of a certain proton is 045 Mm/s. If the uncertainty in its momentum is to be reduced to 0.0100%, what uncertainty in its location must be tolerated? 2. The work function for metallic cesium is 2.14 eV. Calculate the kinetic energy and...
DIRECTIONS: Work the problem. You must show all work to receive credit, and you must return this sheet. Be sure to explain carefully your answers and show your work in a neat and organized manner. The problem is worth 20 points. A right angle triangular prism has a cross section shown in the figure and is made from a material whose density is 5.75 g/cm². The height of the prism is the same as its side L, whose length is...
DIRECTIONS: Work the problem. You must show all work to receive credit, and you must return this sheet. Be sure to explain carefully your answers and show your work in a neat and organized manner. The problem is worth 20 points Two students studying one-dimensional collisions obtained the graph shown below for the position versus time of the projectile cart and the target cart. The projectile cart and the target cart did not stick together after the collision. Do not...
Bonus Problem (worth 5 extra points.) You must show all your work to receive credit! 26. You are asked to improve the hardness (and strength) of a steel sample by "carburization" process. The initial carbon content (co) of the sample is 0.2 wt %. You are using a carbon rich environment (hydro- carbon gas) to set the surface-carbon content (c) at 1.0 wt %. Using the Figure 5.11, calculate the required carburization temperature to reach a carbon content of 0.4...