Concept explainers
Limits Evaluate the following limits.
43.
Trending nowThis is a popular solution!
Chapter 14 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
- O. The maximal value of num = 16..arrow_forwardQ1: a) For how many n ∈{ 1,2,...,500} is n a multiple of one or more of 5, 6, or 7? b) For how many n ∈ {1,2,...,500} is n a multiple of one or more of 5, 6 ? Please use this formula for both ques formula : n(A+B+C) = n(A) + n(B) + n(C) - n(AB) -n(AC) -n(BC) + n(ABC) [ this formula is for 3 digit numbers] { what will be foemula for 2 digits ) please make it clear. tyarrow_forwardQuadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…arrow_forward
- QUADRATIC PRIMES This question is adopted from Project Euler Question 27. (https://projecteuler.net/problem=27) The quadratic formula n^2 + n + 41 will produce 40 primes for consecutive integer values 0 <= n <= 39. However, when n = 40, this formula will not generate a prime number. Another interesting quadratic formula n^2 – 79n + 1601 produces 80 prime numbers for consecutive values 0 <= n <= 79. The Question: find a and b such that when -999 <= a <= 999 and -1000 <= b <= 1000, the quadratic form ?^2 + ? × ? + ? produces the maximum number of primes for consecutive values of n, starting with n = 0. Requirement: MUST BE WRITTEN IN C++ - Print the 40 primes generated by formula n 2 + n + 41 - Print the 80 primes generated by formula n 2 – 79n + 1601 - Write a function that takes in an integer and returns whether the given number is prime or not. - Output the value of a, b and how many consecutive values of n (count the starting zero!) can be generated. - Submit…arrow_forwardA town wishes to build a trail between city A, city B, city C, city D, and city E. The distances, in miles, between any two of the destinations are given in the table. Use the table to answer parts (a) and (b) below. A B C D E A * 154 134 216 129 B 154 * 195 51 243 C 134 195 * 225 220 D 216 51 225 * 308 E 129 243 220 308 * a) Use Kruskal's algorithm to determine the minimum-cost spanning tree that would link each location to create the least expensive trail. Choose the correct graph below. A. ABCD154216225E129 B. ABCD15419551E129 C. ABCD15413451E129 D. ABCD154134216E129 b) If the cost of building such a trail is $3700 per mile, what is the cost of building the trail determined in part (a)? The cost is:arrow_forwardHW7_2 This problem uses an interpolating polynomial to estimate the area under a curve. Fit the interpolating polynomial to the following set of points. These points are the actual values of f(x) = sin (e* – 2) 0.4 0.8 1.2 1.6 y -0.8415 |-0.4866 0.2236 0.9687 0.1874 a) Plot the function f(x) and the interpolating polynomial, using different colors. Use polyfit and polyval. Also include the data points using discrete point plotting. b) We wish to estimate the area under the curve, but this function is difficult to integrate. Hence, instead 1.6 of finding ° sin(e* – 2) dx (which is the same as finding the area under the curve sin (e* – 2) ), we will compute the area under the interpolating polynomial over the domain 0arrow_forwardlet X = {0, 1}arrow_forwardOrder the following functions by asymptotic growth rate (number 1 is the best algorithm, and number 3 is the worst). 4nlog n+2n 2log n n³ + 2arrow_forwardTake the following permutation o of {1,2,3,4,5} defined below and use it to encode the phrase that follows. σ(1) = 5 σ (2) = 3 σ(3) = 4 σ (4) = 1 σ (5) = 2 ⠀ "WOODRUFF BEST DORM"arrow_forwardConstruct a DFA A so that L(A) = L(N) where N is the following NFA:arrow_forwardDetermine whether the following argument is valid using truth tables. p → q ∨ r ∼ q∨ ∼ r∴∼ p∨ ∼ rarrow_forwardAssignment (Math application): Write a program that prompts the user to enter a 3 x 3 matrix of double values and tests whether it is a positive Markov matrix. E An nxn matrix is a positive Markov matrix if the following is true: o lf each of the elements is positive o The sum of the elements in each column is 1 Sample Program running Enter a 3 x 3 matrix by row 0.15 0.875 0.375 0.55 0.005 0.225 0.30 0.12 0.4 The sum of the columns 1.0 1.0 1.0 It is a Markov matrix Enter a 3x 3 matrix by row -0.2 0.875 0.375 0.75 0.005 0.225 0.45 0.12 0.4 The sum of the columns 1.0 1.0 1.0 It is not a Markov matrix Please note the following requirements: Dinclude a comment before each method explaining what the methods will do E All methods called from the main methods There will be two methods which will be called from the main method: public static double [] [] createArray() 1. Creates a 3 by 3 two dimensional array of doubles 2. Prompts the user for values as shown in the sample run 3. Stores the…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- COMPREHENSIVE MICROSOFT OFFICE 365 EXCEComputer ScienceISBN:9780357392676Author:FREUND, StevenPublisher:CENGAGE L