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Zero net area If 0 < c < d, then find the value of b (in terms of c and d) for which
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Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
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- If A = {0, 1), B = {1, 2, 3), then (AUB) x B is equal to:arrow_forwardIf S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)arrow_forwardLet x and y be integers such that x = 3 (mod 10) and y = 5 (mod 10). Find the integer z such that 97x + 3y³ z (mod 10) and 0 ≤ z ≤9.arrow_forward
- 8. X. Let f: RR defined by f(x) = x³ -arrow_forwardThe fuel economy of a car is the distance which it can travel on one litre of fuel. The base fuel economy (i.e., its fuel economy when there is only one person - the driver - in the car) of a certain car is MM kilometres per litre. It was also observed that every extra passenger in the car decreases the fuel economy by 11 kilometre per litre. PP people want to take this car for a journey. They know that the car currently has VV litres of fuel in its tank. What is the maximum distance this car can travel under the given conditions, assuming that all PP people always stay in the car and no refuelling can be done? Note that among the PP people is also a driver, i.e., there are exactly PP people in the car. Solve in any programming languagearrow_forwardThere are a number of plants in a garden. Each of the plants has been treated with some amount of pesticide. After each day, if any plant has more pesticide than the plant on its left, being weaker than the left one, it dies. You are given the initial values of the pesticide in each of the plants. Determine the number of days after which no plant dies, i.e. the time after which there is no plant with more pesticide content than the plant to its left. Example // pesticide levels Use a -indexed array. On day , plants and die leaving . On day , plant in dies leaving . There is no plant with a higher concentration of pesticide than the one to its left, so plants stop dying after day . Input Format The first line contains an integer , the size of the array .The next line contains space-separated integers . Constraints Sample Input 7 6 5 8 4 7 10 9 Sample Output 2 Explanation Initially all plants are alive. Plants = {(6,1), (5,2), (8,3), (4,4), (7,5),…arrow_forward
- The table below describes the average voltage generated, A, in volts by an energy harvester for three days at three different times for each day. Referenced time Day 3. 3.0 V 1.8 V 0.9 V 1.9 V 2.2 V 1.7 V 0.5 V 1.1 V 2.2 V Given that the power generated in millivwatts (mW), P, can be calculated using the following equation: 500A? P = Where A is the voltage generated and R is the total resistance given as 2000 Q. Write a MATLAB/OCTAVE script to store the voltage data from the table as a single matrix, where the days represent the rows and the referenced times represent the columns of the matrix. Hence, in the same script, Calculate the power generated at each day and referenced time. i) ii) Compute and output the overall maximum power generated. Finally, compute and output the days and referenced times where the power generated exceeds 1.0 mW (Tips: You may want to use a nested loop OR the in-built MATLAB/OCTAVE function called 'find' here) iii)arrow_forward3. (a) Consider the following algorithm. Input: Integers n and a such that n 20 and a > 1. (1) If 0arrow_forward6 For the following pairs of functions, first decide whether f(n) dominates g(n), or g(n) dominates f(n); then decide whether f = 0(g), or f = N(g), or f = 0(g), and briefly explains. i. f(n) = n²,g(n) = 1000n + 30 ii. f(n) = /n, g(n) = n} iii. f(n) = 10log2 n, g(n) = log10(n³) iv. f(n) = n100, g(n) = 1.2".arrow_forwardLet f(x)=ax+b and g(x)=cx+d, where a, b, c, and d are constants. Determine necessary and sufficient conditions on the constants a, b, c, and d so that f◦g=g◦f.arrow_forwardan Office consisting of m cabins enumerated from 1 to m. Each cabin is 1 meter long. Sadly, some cabins are broken and need to be repaired.You have an infinitely long repair tape. You want to cut some pieces from the tape and use them to cover all of the broken cabins. To be precise, a piece of tape of integer length t placed at some positions will cover segments 5,5+1-sit-1.You are allowed to cover non-broken cabins, it is also possible that some pieces of tape will overlap.Time is money, so you want to cut at most k continuouspieces of tape to cover all the broken cabins. What is theminimum total length of these pieces?Input FormatThe first line contains three integers n,m and k(1sns10°, namsloº, Isksn) - the number of broken cabins, the length of the stick and the maximum number of pieces you can useThe second line contains n integers bl,b2,bn (Isbism) - the positions of the broken cabins. These integers are given in increasing order, that is, blOutput Format:Print the minimum total…arrow_forwardThe following equations estimate the calories burned when exercising (source): Women: Calories = ( (Age x 0.074) — (Weight x 0.05741) + (Heart Rate x 0.4472) — 20.4022 ) x Time / 4.184 Men: Calories = ( (Age x 0.2017) + (Weight x 0.09036) + (Heart Rate x 0.6309) — 55.0969 ) x Time / 4.184 Write a program using inputs age (years), weight (pounds), heart rate (beats per minute), and time (minutes), respectively. Output calories burned for women and men. Output each floating-point value with two digits after the decimal point, which can be achieved as follows:print('Men: {:.2f} calories'.format(calories_man)) Ex: If the input is: 49 155 148 60arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
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