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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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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# the start of this has the power-law fitting function you can use‚ make sure to evaluate it before calling plfit # PLFIT fits a power-law distributional model to data. # # PLFIT(x) estimates x_min and alpha according to the goodness-of-fit # based method described in Clauset‚ Shalizi‚ Newman (2007). x is a # vector of observations of some quantity to which we wish to fit the # power-law distribution p(x) ~ x^-alpha for x >= xmin. # PLFIT automatically detects whether x is
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E N Z Y M E O N O S M C E G L E E E L G L Y C E R O L H Y D R O X
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Math 135 Final Exam Study Guide The graph of a function is given. Follow the directive(s). 1) y 5 (0.5‚ 2) (3.5‚ 2) 5 (6‚ -1.1) x -5 (-5‚ -3) (-4‚ -3) -5 (a) List all the intervals on which the function is increasing. (b) List all the intervals on which the function is decreasing. (c) List all the intervals on which the function is constant. (d) Find the domain. (e) Find the range. (f) Find f(-5). (g) Find f(6). (h) Find x when f(x) = 0. (i) Find the x-intercept(s). (j) Find the y-intercept(s)
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