to evaluate logs‚ trigonometric functions‚ and exponents? This ability is due in large part to the Taylor series‚ which has allowed mathematicians (and calculators) to approximate functions‚such as those given above‚ with polynomials. These polynomials‚ called Taylor Polynomials‚ are easy for a calculator manipulate because the calculator uses only the four basic arithmetic operators. So how do mathematicians take a function and turn it into a polynomial function? Lets find out. First‚ lets assume
Premium Polynomial Derivative Exponential function
__ The total amount of revenue made by the Miramar Resort Hotel is given by the function ‚ ‚ where x is the amount of money the hotel spends on advertising its services‚ and where both revenue and x are measured in thousands. 1. Using Wolfram Alpha‚ graph the revenue function over the given domain and paste the graph here. 2. Compute the marginal revenue function and copy and paste a graph of this function on the domain here. Then use Wolfram Alpha to determine where revenue is increasing
Premium Function Derivative
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
Premium Function Calculus Derivative
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
Premium Real number Function Roller coaster
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
Premium Maxima and minima Polynomial Calculus
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
Premium Derivative Velocity Function
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
Premium Source code Function Management
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
Premium Trigraph Function Calculus
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
Premium Function
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
Premium Function Phase Gottfried Leibniz