Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table.t (sec)v (ft/s)3315243019453060397527Estimate the distance traveled by the vehicle during this 75-second period using the velocities at thebeginning of the time intervals.distance traveled afeetGive another estimate using the velocities at the end of the time periods.distance traveled afeet

Lef and right end point approximation

Answered: Speedometer readings for a vehicle (in…

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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A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.67 0.70 0.93 0.95 1.09 1.01 1.29 1.24 1.41 1.56 1.73 1.80 Units of BCI (Y) 14.4 20.9 16.2 25.0 18.9 19.8 20.7 22.1 23.9 24.9 27.6 29.7 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
The table below shows data from a recent car trip for the Burke family. Hours After Leaving (x) 1 2 3 4 5 Miles from Home (y) 45 112 178 238 305 State the average rate of change for the distance traveled between hours 2 and 4. Include appropriate units.
Exercise 5.1.2 Normalize V = 15-3.4i 2.1-16i
rlanz 9. Find up 72 dt. Jo
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* Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates In the table given below, experimentally obtained velocity (dependent variable) vs time (independent variable) data is provided. Please answer the following questions using the data. Time (t) Velocity (v) 0.0 1 0.8 1.4 3 2.1 4 2.6 3.3 7 3.9 9. 4.9 10 6.0 12 8.6 14 14.4 a) What is the total displacement between t = 0- 14 seconds. Please note that displacement is obtained via X = [V dt. Please use a combination of numerical integration methods and prefer to use as many as high accuracy methods as possible. b) Please calculate the acceleration at t = 2 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt c) Please calculate the acceleration at t = 14 seconds using the most accurate method av possible. Please note that acceleration is obtained via a = dt
Explain the difference between the average rate of change and the instantaneous rate of change. Provide specific examples.
Entered Answer Preview Result 23.5 23.5 correct 9.5 9.5 incorrect At least one of the answers above is NOT correct. (a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? Tave = 23.5 °C (b) Explain why there must be a point on the bar where the temperature is the same as the average, and find it. [Let x be the distance along the bar from zero.] x = 9.5 m along the bar.
A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10|v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(10) = i (b) Find the distance fallen before the parachute opens. x(10) = i VL (c) What is the limiting velocity v after the parachute opens? = ft/s i ft ft/s
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Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters.
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