# Mathematics for Engineering

المعهد الوطنم التدريب الماس TONALNSTI INDUSTRIAL TRAINING Qualification Unit Number: Assignment Brief (NIIT-FRM-0110) PEARSON BTEC LEVEL 3 DIPLOMA IN ENGINEERING Unit Mathematics for Engineering 4 Unit Code: A/600/0253 Title: Technicians Start date: 19/05/2021 Deadline: 19/05/2021 Assessor: Sawsan Mearaj Assignment Title: 3. Statistical Methods & Calculus Techniques Purpose and Objectives: Be able to use statistical methods to display data. Be able to use elementary calculus techniques. Scenario: One of the main responsibilities of engineers is to solve problems quickly and effectively. Your supervisor will test you in statistical methods to display data. As a learner you have to show your understanding of solving mathematical, scientific and associated engineering problems at technician level. P8: Collect data and produce statistical diagrams, histograms and frequency curves P9: Determine the mean, median and mode for two statistical problems P10: Apply the basic rules of calculus arithmetic to solve three different types of function by differentiation and two different types of function by integration. Task s will cover P8, P9&P10. Task 1: cover P8 & P9: 1. The data given below refer to the gain of each of a batch of 40 transistors, expressed correct to the nearest whole number. Form a frequency distribution for these data having seven classes: 81 86 84 87 83 83 76 87 79 79 87 77 80 78 80 74 71 87 80 83 76 86 73 85 82 89 85 89 77 79 82 87 82 84 80 84 88 79 78 77 1. Represent this data using the following techniques: a. A histogram. (P8) b. Acumulative frequency diagram. (P8) i Determine the mean, median and mode. (P9) المعهد الوطني التمر بقية المناعم NATIONAL STY INDUSTRIAL TRAINING 2. The following set of data refers to the amount of money in BD taken by a news vendor for 6 days. Determine the mean, median and mode values of the set(P9): 27.90, 34.70, 54.40, 18.92, 47.60, 39.68 Task 2: 1. Find the derived function of the following functions: (a) y = 6×2 + 2x + 1 (b) y = e2x + (c) y = VEA 2. Integrate with respect to the variable: (a) Se2x dx (6) S 3 cos 2x dx + S 7 sin 3xdx 1$- $ 2021 This brief has been verified as being fit for purpose: Assessor Signature: Date: Internal Verifier Name: Signature: Date: grope of data: 11 median L 2 – CE — f {(freqxmid point) mean Ź frequency Mode=hat a C … х 2. Integrate with respect to the variable: (a) Se2x dx (6) S3 cos 2x dx + S 7 sin 3xdx O Reply…

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