Answer the given questions, showing step by step working outs. Q5.(x+2, if 1≤x≤2f(x)=(x²if 2≤ x ≤3a) Show that f(x) is continuous in the interval [1, 3].b) Determinef(x) dx.Q6.For sin xy + cos y + x² = ex² + Inx, use implicit differentiation to finddydx

Answered: Q5. (x+2, if 1≤x≤2 f(x) = (x² if 2≤ x…

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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The human nervous system is extremely sensitive to changes in the environment. Stimuli that remain the same do not demand the same amount of attention as those that are new. You are a human factors psychologist working for a large automobile manufacturer. You have been assigned the task of determining what type of hot-engine warning system will be used on the next generation of small pickup trucks. The designers have given you three alternative systems: (a) a traditional temperature gauge that reads cold to the left, normal in the middle, and hot to the right; (b) a hot- engine warning light that flashes when the engine is about to overheat; and (c) a temperature gauge similar to (a), except that the entire gauge flashes on and off when the engine is about to overheat. You decide to test these three designs by having three separate groups of participants use the various warning systems in a driving simulator. The independent variable in this experiment is the type of warning system,…
Im having trouble on the last part which is Part c. I dont know if its C or B. I think its B but im not sure. The rest dont bother doing because im pretty sure its right so just focus on part c
Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: Sunday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 18,27,34,37,49.55,63,61,48,30,27,17,17,15,26,46,25 4) Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X x (x-)²2 n-l Sunday's Standard Deviation Table 7 (x-2)² n-1 2). Sketch Wednesday's Bell Curve with 30 Sketch Sunday's Bell Curve with 30 (x-7)²= x-F (x-7) 2 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?
The grade of OMG 321 was normally distributed with a mean of 81 and a standard deviation of 3. (round z value to the second decimal and probability to the fourth decimal place)
Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score 43 46 35 59 64 66 58 47 44 49 56 68 28 71 27 108 Brain Activity -0.129 0.389 0.019 0.378 0.016 0.419 0.109 0.515 0.149 0.746 0.245 0.57 0.219 0.716 0.364 0.762 Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?ANSWER: Speak
The method that is used to calculate employees pay according to different levels of production is: a. Differential pay b. Straight commission c. Variable commission d. Straight piece rate
II. Illustration: Illustrate the following scenario given. Use a separate sheet of paper. 1. Let say you are in your home to do one certain chore for a specific time frame (e.g. washing dishes, cooking rice, wash clothes, watering a garden, etc.). Draw a technical drawing on the floor layout of your kitchen sink performing the method and create a hand motion analysis with the following criteria: a. All the hand motions identified of such chosen method of chore. b. Corresponding therblig (name & symbol) of each identified motion. c. Description of each hand motion identified. 2. On the current events of the Covid vaccination (Resbakuna) process in 1t dose, 2nd dose, and/or booster, draw the current flow process chart you experienced, identify at least two (2) descriptions for each IE waste on Work Study from the facility where you took your shots, and what are your suggestion for methods improvement per IE waste identified. Suggestions for Improved Methods IE Waste Description
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Q5. (x+2, if 1≤x≤2 f(x) = (x² if 2≤ x ≤3 a) Show that f(x) is continuous in the interval [1, 3]. b) Determine f(x) dx. Q6. For sin xy + cos y + x² = ex² + Inx, use implicit differentiation to find dy dx