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MHF 401 Page 5 1 9. For f(x) = sin(2x + 2)...
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of...
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
I need solution as soon as possible thank you Q1 Given, f(x) = { 4,0$*<2...
I need solution as soon as possible thank you
Q1 Given, f(x) = { 4,0$*<2 4x +1,25x<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) SOME RELEVANT FORMULA Fourier Series...
Please show all work. Thank you! 2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x)...
Please show all work. Thank
you!
2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x) + cos(2x)on the interval [0, 1]. For this question, give your answers to parts a,b,c in interval notation. a. Find the intervals on which f is increasing or decreasing b. Find the local maximum and local minimum values of f c. Find the intervals of concavity d. Give the inflection points (if any) e. Sketch the graph of f. Be sure to label and...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x D...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this funct...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
1) Allow f(x) = x3, and g(x) = 2x. Determine f(g(1)). 2) Enter the formula for...
1) Allow f(x) = x3, and g(x) = 2x. Determine f(g(1)). 2) Enter the formula for a sine function with an amplitude of 5, a period of 90 degrees, a shift of 45 degrees to the right and 3 units upwards. Determine the exact value of the expression sin (v) + cos (v) given that tan (v) = 7/3. 3) Solve the equations in the range 180≤x≤360 degrees. Answer with one decimal. a) tan (x) = 3.2 (I would like...
Please answer all questions Q2 2015 a) show that the function f(x) = pi/2-x-sin(x) has at...
Please answer all questions
Q2 2015
a) show that the function f(x) = pi/2-x-sin(x)
has at least one root x* in the interval [0,pi/2]
b)in a fixed-point formulation of the root-finding problem, the
equation f(x) = 0 is rewritten in the equivalent form x = g(x).
thus the root x* satisfies the equation x* = g(x*), and then the
numerical iteration scheme takes the form x(n+1) = g(x(n))
prove that the iterations converge to the root, provided that
the starting...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selan...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...
Instructions: Show all your work for FULL credit. Calculators are NOL final answer. Neatness is highly appreciated. 1. A region R, bounded by y 2x, y 6-x, and x-axis, is rotated around the y-axis. Sk...
Instructions: Show all your work for FULL credit. Calculators are NOL final answer. Neatness is highly appreciated. 1. A region R, bounded by y 2x, y 6-x, and x-axis, is rotated around the y-axis. Sketch the region R, in the box a) 15 strip/slice you will use to find the volume of the solid of revolution. b) Write the definite integral that gives a X the volume of the solid of revolution. (DO NOT evaluate the integral.) Find the circumference...
math final 172 Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write a...
math final 172
Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write an equation of the line perpendicular to the line y-2r-3 through (4,1) and sketch its graph. 5. Draw the graph of y- -2r-2 and label its maximum 6. Draw the graph of y-V-I 7. In triangle ABC, side a-8 in.,...
please show all work. Thanks in advance :)
To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
I need solution as soon as possible thank you
Q1 Given, f(x) = { 4,0$*<2 4x +1,25x<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) SOME RELEVANT FORMULA Fourier Series...
Please show all work. Thank
you!
2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x) + cos(2x)on the interval [0, 1]. For this question, give your answers to parts a,b,c in interval notation. a. Find the intervals on which f is increasing or decreasing b. Find the local maximum and local minimum values of f c. Find the intervals of concavity d. Give the inflection points (if any) e. Sketch the graph of f. Be sure to label and...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
Please answer all questions
Q2 2015
a) show that the function f(x) = pi/2-x-sin(x)
has at least one root x* in the interval [0,pi/2]
b)in a fixed-point formulation of the root-finding problem, the
equation f(x) = 0 is rewritten in the equivalent form x = g(x).
thus the root x* satisfies the equation x* = g(x*), and then the
numerical iteration scheme takes the form x(n+1) = g(x(n))
prove that the iterations converge to the root, provided that
the starting...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...
Instructions: Show all your work for FULL credit. Calculators are NOL final answer. Neatness is highly appreciated. 1. A region R, bounded by y 2x, y 6-x, and x-axis, is rotated around the y-axis. Sketch the region R, in the box a) 15 strip/slice you will use to find the volume of the solid of revolution. b) Write the definite integral that gives a X the volume of the solid of revolution. (DO NOT evaluate the integral.) Find the circumference...
math final 172
Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write an equation of the line perpendicular to the line y-2r-3 through (4,1) and sketch its graph. 5. Draw the graph of y- -2r-2 and label its maximum 6. Draw the graph of y-V-I 7. In triangle ABC, side a-8 in.,...
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