A3 Draw an arrow diagram showing the function taking any equivalence class x of integers modulo...
Advanced Calculus
(3) Let the function f(x) 0 if x Z, but for n e z we have f(n) . Prove that for any interval [a3] the function f is integrable and Ja far-б. Hint: let k be the number of integers in the interval. You can either induct on k or prove integrability directly from the definition or the box-sum criterion.
(3) Let the function f(x) 0 if x Z, but for n e z we have f(n) ....
10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define mn if and only if the sum of the digits (b) On the set (1.2,3,4,11, 12, 13,14,21,22,23,24), define mn if and only diagram for the induced partial order on the equivalence classes of m is less than or equal to the sum of the digits of n. if...
Diagram 1: Suppose that an activity, x, generates benefits according to the benefit function B(x) - 26x - 0.01x?, and costs according to the cost function C(x) = 2x + 0.01x. Solve for the optimal level of x and draw a simple diagram showing the behavior of the Net Benefit function that corresponds to your solution. Include as much detail as possible, including axis labels, the level of x at which the Net Benefits are maximized and the level at...
CHEM 3320 Practice Test 3 1 a Draw a diagram showing how the electrons would be distributed in the pi molecular orbitals of square cyclobutadiene, and explain why this structure is anti-aromatic. (4 pts) b. Add electron pairs as appropriate and indicate whether each of these species is aromatic or not. (8 pts) 2. Consider these four benzene derivatives: CH3 Br CH3 NH2 ?. D. a. Which one would be most reactive in electrophilic aromatic substitution? (2 pts) b. Which...
1. Modify the draw() function in the Creature class so that instead of being displayed as a square, the creature is displayed as a triangle. ## A creature draws itself using the colour specified as part of its dna ## the size of the grid squares, and the position of the top-left pixel are provided as input def draw(self, grid_size, top_left_x, top_left_y): ## Compute the position of the top left hand corner of the cell this creature is in x...
9. a) Draw a block diagram for a High Performance Liquid Chromatograph (HPLC), showing all the important components. Briefly describe the function of each part. b) List four types of stationary phase/separation methods that are available for HPLC and suggest suitable analytes or analyses for each type of stationary phase. c) List four detection options that exist for HPLC and discuss the good and bad points (if any) of each. d) Choose one aspects of chromatography (eg. resolution or sample...
QUESTION 10 The equality relationon any set S is: A total ordering and a function with an inverse. An equivalence relation and also function with an inverse. A function with an inverse, and an equivalence relation with as single equivalence class equal to S An equivalence relation and also a total ordering QUESTION 11 A binary operation on a set S, takes any two elements a,b E S and produces another element c e S. Examples of binary operations include...
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.
Please answer all parts of the
question (a,b,c,d,e)
Consider the case of oblique incidence of electromagnetic plane waves going from medium 1 to a. Draw a diagram showing the wavevectors and the directions of the electric and magnetic b. Using the appropriate boundary conditions, obtain the Fresnel equations for the reflected 1. medium 2 with the polarization perpendicular to the plane of incidence. fields of the incident, reflected, and transmitted waves for an angle of incidence θ| and transmitted complex...
From previous homework you are already familiar with the math function f defined on positive integers as f(x)=(3x+1)/2 if x is odd and f(x)=x/2 if x is even. Given any integer var, iteratively applying this function f allows you to produce a list of integers starting from var and ending with 1. For example, when var is 6, this list of integers is 6,3,5,8,4,2,1, which has a length of 7 because this list contains 7 integers (call this list the Collatz list for 6). Write a C or C++...