coordinates of all relative extreme points of[pic]. |A)[pic] |B) [pic] |C) [pic] |D) [pic] |E) [pic] | [pic] First find the derivative of the function[pic]‚ f ’(x): |[pic] |= |[pic] |apply power rule of differentiation | | |= |[pic] |simplify
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construct the polynomial function‚ f(x)‚ that will be the path of your roller coaster. Show all of your work. Answer: To create the polynomial function‚ we would need to find the three roots to create factors. The roots would be the x-coordinates‚ 6‚ -2‚ and -7 so the factors are x-6‚ x+2 and x+7. Now multiple x-6 and x+2 to get x^2-4x-12. Take that answer and multiply it by the third factor‚x+7 and it would result with x^3+x^2-28x-12x-84. Combine like terms and the polynomial function is f(x) = x^3+x^2-40x-84
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Name: Date: Graded Assignment Checkup: Graphing Polynomial Functions Answer the following questions using what you’ve learned from this unit. Write your responses in the space provided‚ and turn the assignment in to your instructor. For problems 1 – 5‚ state the x- and y-intercepts for each function. 1. x-intercept: (0‚ 0)‚ (-4‚ 0)‚ (0‚ 0) y-intercept: (0‚ 0) 2. x-intercept: (1‚ 0) (0‚ 0) (-4‚ 0) y-intercept: (0‚ 4) 3. x-intercept: (-1‚ 0) (0‚ 0) (0‚ 0) y-intercept: (0‚ 0) 4
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1. 7.5/8 The height in metres of a ball dropped from the top of the CN Tower is given by h(t)= -4.9t2+450‚ where t is time elapsed in seconds. (a) Draw the graph of h with respect to time (b) Find the average velocity for the first 2 seconds after the ball was dropped h(0)=(0‚450)‚ h(2)=(2‚430.4) = (430.4-450)/(2-0) = -9.8m/s √ (c) Find the average velocity for the following time intervals (1) 1 ≤ t ≤ 4 h(1)=(1‚445.1) h(4)=(4‚371.6) = (371.6-445.1)/(4-1) = -24.5m/s √ (2) 1 ≤ t ≤ 2 h(1)=(1‚445
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3. REQUIRMENT ANALYSIS 4. SYSTEM DESIGN 5. SOURCE CODE 6. TESTING 7. FUTURE SCOPE OF PROJECT PROPOSED SYSTEM 1. DISCRIPTION:- a. function used:- i. function are used for formatting line. ii. for reading records. iii. for processing. iv. for calculate percentage. v. to show the result. b. student discription It includes student code‚ name‚ address and
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DURATION : 60 minutes ANSWER ALL QUESTIONS. 1. Given the function f ( x‚ y ) = x 2 + 2 y 2 − 1 a. Find the domain and range of the function. (2 marks) b. Sketch the contour map of the function f ( x‚ y ) using three level curves‚ c = 1‚ 2‚ 3 . (4 marks) c. Use 3D-contour map to sketch roughly the surface of f ( x‚ y ) . (2 marks) 2 4 x2 − y 2 ‚ x2 + 2 y 2 f ( x‚ y ) along x- axis and y-axis‚ Given the function f ( x‚ y ) = a. find the lim ( x ‚ y )→(0‚0) (4 marks) b. does
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LAW COURSE: ADMINISTRATIVE LAW II TOPIC: OMBUDSMAN IS A LAUDABLE INSTITUTION ALTHOUGH IT HAS FAILED WOEFULLY IN NIGERIA- DISCUSS. PROGRAMME: LL.M NAME: THELMA IFEYINWA MAFUA MATRIC NO. 099061003 LECTURER: DR. AMUSA CONTENTS 1. INTRODUCTION 2. HISTORY OF THE OMBUDSMAN 3. FEATURES‚ MANDATE AND LIMITATIONS OF THE OMBUDSMAN 4. THE OMBUDSMAN INSTITUTION IN NIGERIA 5. THE IMPACT AND FAILURE OF OMBUDSMAN IN NIGERIA 6. CONCLUSION AND RECOMMENDATIONS
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Lecture 6: Function. Limits and continuity. Plan: 1) Concept of function. Basic properties of functions. 2) Elementary functions. Classification of functions. 1) Concept of function. Basic properties of functions. Definition 1. If to each element x of set X () is put in conformity the element y of set Y () speak‚ that on set X function is given. Where х is an independent variable (or argument)‚ y - a dependent variable‚ and the letter f designates the law of conformity. Set X is
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Code] Figure (2): Verification of Two Point Method in Time domain Figure (3): Verification of Two Point Method in Frequency domain (b) Log Method For this method‚ we need samples of the output which can be done using Matlab‚ the following function takes samples every 1 second starting from 1 to 20‚ and the results are stored in arrays x and y. [See Appendix-B for MATLAB Code] Figure (4): Log method curve From the graph‚ we can get cross-axis value. Thus: K=1‚ L/T=0.9081‚ L=1.89
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definitions. For EC201 • Nonsatiation means that utility can be increased by increasing consumption of one or both goods. If the utility function is differentiable you should test for nonsatiation by finding the partial derivatives of the utility function. 1.1.2 Example: testing for convexity with a Cobb-Douglas utility function A Cobb-Douglas utility function has the form u(x1 ‚ x2 ) = xa xb where a > 0 and b > 0. Here u(x1 ‚ x2 ) = 12 2/5 3/5 x1 x2 . Assuming that x1 > 0 and x2 > 0 the partial
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