A. Describe the error in the following:a. 5 is a subset of Nc.b. x>1 and x <4 is equivalent to x>1<4Given the function x +10, find the value of f(4)d. 0, 1, 2, 3, ... are elements of counting numberse. 22/7 = 3.14

A. a. ) 5 is not a subset of N, its an element of N. It should be written as {5} is a subset of N.…

Answered: A. Describe the error in the following:…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In this question, write down your answer, no need for any justification. You can leave your answer in terms of factorials, combination symbols, permutation symbols, etc. Please clearly box your answers in your sub- mission to Gradescope. How many injective functions are there from {1,2, 3} to (a) {1,2, 3, 4, 5, 6, 7}? (b) the range of an injective function with domain {1,2, 3}? How many subsets are there of {1, 2, 3, 4, 5, 6, 7} that are What is the smallest number of people that must be in a (c) group in order to guarantee that at least three people in the group were born in the same month (of possibly different years)? (The answer is not three; if you have three people they could all be born in the same month, but this is not guaranteed). (d) What is the coefficient of a b² in (a + b)? (e) What is the coefficient of ab?c in (a +b+ c)*?
91 12 1 912 O Option 3 Option 4 Question below. * Given the equation f(x) = 4(r- 5)+ 8, determine (10) D 5.7 and 4.3 D 5 and 0.7 108 26.4 and 3.6 Back Next Clear er submit passwords through Google Forms. This form was created insde of Toronto Catholic District School Board, Report Abuse
1. Is there a multiplicative arithmetic function f such that f(2) = 5, f(3) = 7, f(10) = 10 and f(15) = 21? %3D
suppose m>0 is an integer. How many one-to-one functions are from a set of m elements to a set of m-1 elements?
d) Give an example of a function from A to B that isone-to-one. e) Give an example of a function from A to B that isonto. f) How many functions are there from B to A? Explainbriefly.
17 A lighting designer created a program for the opening of a stage show. When the show starts, 10 lights are on. Every 30 seconds, 1 more light comes on. If t is time in minutes and L is the number of lights that are on, which function best models the number of lights that are on after t minutes of the stage show? A. L=-t + 10 B. L = 2t + 10 C. L = 30t + 10 1 D. L= 10t + E. L= 10t + 30 %3D
8. Draw a picture of an even function and a picture of an odd function. You can use Desmos or draw by hand.
2.22. Let f be a function from R to R. Without using words of negation, write the meaning of "f is not an increasing function".
Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 4x³ — 5x² +8 (Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) points of inflection: Determine the interval on which f is concave up. (Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E Determine the interval on which f is concave down.
4.4
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Which relation does NOT represent a function? 1) 2) 2 8 14 4) 3) 1 7 15 6. 8. 17 11 19 VA

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A. Describe the error in the following: a. 5 is a subset of N b. x>1 and x < 4 is equivalent to x>1<4 c. Given the function x +10, find the value of f(4) d. 0, 1, 2, 3, ... are elements of counting numbers e. 22/7 3.14