discrete Math PLEASE CIRCLE ALL THE FINAL ANSWERS (1 pt) Consider the function f: R →...
Consider the function...... Please help for all incorrect answers Result Entered Answer Preview 0.516397779494322, -0.516397779494322 incorrect 15' 15 The answer above is NOT correct Consider the function 5r2 + List the r values of the inflection points of f. If there are no inflection points, enter 'NONE 2/sqrt(15), -(2/sqrt(15)) Entered Answer Preview Result (-0o, 2- 3) U (2 3,oo) incorrect (-infinity,0.267949) U (3.73205,infinity) (2- V3,2+ v3) (0.267949, 3.73205) incorrect 0.57735,-0.57735 correct At least one of the answers above is NOT...
pt) Consider the function f: R (-co, -6) defined by fu) 3 -9 еxp(Зх + 8) — 6. The inverse of f is given by the formula: f(x)=
(1 point) The given graph of the derivative f' of a function f is shown. Assuming the graphs continue in the same way as x goes to infinity and negative infinity, answer the following questions. 1. On what intervals is f increasing? Answer (in interval notation): [-3.2,-1]U[2.5,Inf) 2. On what intervals is f decreasing? Answer (in interval notation): (-Inf,-3.2]U[-1,2.5] Note: You can click on the graph to enlarge the image.
Only g and h needs answers (1 point) Book Problem 3 Consider the function f(x) = x + 2 cos(x), 0<x<21. For the following questions, write inf for , -inf for - , U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 1-2sinx b.) f(x) is increasing on the interval(s) (0,pi/6)U(5pi/6,2pi) c.) f(x) is decreasing on the interval(s) (pi/6,5pi/6) d.) f(x) has a local minimum at 5pi/6 e.) f(x) has a...
1. Consider the function defined by (1 -2, 0 r< 1, f(x) 1 < |x2 (0. and f(r) f(x+ 4) (a) Sketch the graph of f(x) on the interval -6,61 (b) Find the Fourier seriess representation of f(x). You must show how to evaluate any integrals that are needed. 1. Consider the function defined by (1 -2, 0 r
please solve, previous ones all wrong! Question 11 1 mark) Attempt 2 What is the Inverse Fourier transform of F(u)- 10-5? Reflection: F-1[F(-u)]=f(-t) Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) Question 12 (T mark) Attempt 2 What is the Inverse Fourier transform of: 7 16+iw-4)2 Reflection: F--) Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) Question 13 (2 marks)...
Question 8 (6 marks) Consider the function f: [-2, 2] shown in the diagram. R whose graph is (a) State the largest intervals on which f is injective f(z) (b) For each interval I you found in (a), sketch the graph of the inverse g of the restriction of f to I and state the domain and range of g (c) If we know that f(-x) = f(x) for all r e dom(f), what can we conclude about the relationship...
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a< x < T, where 0a < T (a) Sketch the odd and even periodic extension of f (x) on the interval -3n < x < 3« for aT/2 (b) Find the half-range Fourier sine series expansion of f(x) for arbitrary a. (e) To what value does the half-range Fourier sine series expansion converge at r a? [8 marks 3. Consider the function defined by...
1 Fix an integer N > 1, and consider the function f : [0,1] - R defined as follows: if 2 € (0,1) and there is an integer n with 1 <n<N such that nx € Z, choose n with this property as small as possible, and set f(x) := otherwise set f(x):= 0. Show that f is integrable, and compute Sf. (Hint: a problem from Homework Set 7 may be very useful for 0 this!)
need help with proving discrete math HW, please try write clearly and i will give a thumb up thanks!! Let A and be B be sets and let f:A B be a function. Define C Ax A by r~y if and only if f(x)f(y). Prove thatis an equivalence relation on A. Let X be the set of~-equivalence classes of A. L.e. Define g : X->B by g(x) Prove that g is a function. Prove that g is injective. Since g...