Save Problem #13: [2 marks] [2 marks] Sketch the graph of the function f(x, y) =9-22-y....
x2 when x E [0,1]. 1. (Total marks 12) Suppose f(x) (a) Sketch the periodic odd extension of this function on the interval [-3,31. You do NOT need to indicate what happens at any discontinuities. (4 marks) (b) Sketch the periodic even extension of this function on the interval -3,31. You do NOT need to indicate what happens at any discontinuities (4 marks) (c) The following graph shows f (x) along with a partial sum of the sine series for...
ketch the graph of the probability density function over the indicated interval. 2x 9 [0, 3] y y 0.7 0.7 0.6 0.6 0.51 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 3 y у 0.7 0.7 0.6 0.6 0.5 0.54 0.4 0.41 0.3 0.3 0.2 0.2 y 0.71 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 Find the indicated probabilities. (a) PO < x < 2) (b) P(1 < x < 2)...
[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y = 0.5 y=-2(0.5)' +5 у у х -3 -2 -1 0 1 х -3 -2 -1 0 1 State the following for the graph y = -2(0.5)* +5 Equation of the horizontal asymptote: y-intercept Range APPLICATIONS: [21 Marks] 1. Sketch the graph of y = -2(0.5)* +5. [6] Parent function: y = 0.5% y = -2(0.5)* +5 у у х -3 -2 -1 0...
[Marks) page2 [2] 3. Based on the following graph of function y = f(x), make a neat sketch of the graph of each indicated function: - y = f(x) y = f(-x) y = f(x) [3] 4. Write an equation for the quadratic function whose graph is given: A
utility function Question #A4/04 [20 marks] Mr. E. Kisan is eager to make his utility function explicit. So he approaches his financial consultant, Mr. Chelumala Rishi ReYanth for help who places before Mr. Kisan a choice of a or Rs. 100 (say W2) with probabilities p and (1-p) lottery giving either Rs. 10 (say Wi) respectively. As the value of p is changed Mr. E. Kisan, makes a decision and is able to decide on each corresponding values of C...
Question 9 [13 marks] A file called tanks.dat consists of the width, height and depth values for a number of water tanks. The values are all floating point and the units are metres. A typical file is shown below: 10 2.0 2.0 1.0 3.0 0.5 1.5 1.0 2.5 0.5 1.0 1.0 0.25 0.5 0.25 0.25 5.0 1.2 1.3 2.5 1.1 0.6 0.8 0.8 0.8 0.7 0.7 0.6 0.5 0.3 0.2 The first row of the file contains the number of...
1. Which graph(s) can be used to estimate a Km for an enzymatic reaction? select all that apply 2. Which graph(s) can be used to calculate an association constant for a protein binding its ligand? select all that apply 3. Which graph(s) can be used to estimate protein stability and to understand folding thermodynamics? select all that apply 4. Which graph(s) can be used to estimate the equilibrium constant for the dissociation of a protein-ligand complex? select all that apply...
Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4, 0.7/5, 0.4/6, 0.3/7, 0.2/8, 0.1/9 Answer the following questions: (I)Sketch the membership functions of A and B sets (ii Compute and sketch C=AOB & D=AUB; (iii) Is the following relation true/false? Please clarify ACB Two fuzzy as follow sets A,B defined on the universe X={0,1,2,3,4,5,6,7,8,9} A 0.1/1, 0.2/2, 0.6/3, 1/4, 0.5/5,0.3/6, 0.2/7, 0.1/8} B 0.2/1, 0.3/2, 0.6/3,1/4,...
Sketch the graph of y=f'(x) 13. Below you are given the graph of the function y(x). Use the graph to answer the questions that follow. y- . O-
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]