distance traveled igs for a vehicle at 6-second intervals are given in the table. t (sec) v (ft/s) distance traveled 0 6 12 18 24 30 Estimate the distance traveled by the vehicle during this 30-second period using the velocities at the beginning of the time intervals. feet 27 35 25 32 20 17 Give another estimate using the velocities at the end of the time periods. feet

Explain the difference between the average rate of change and the instantaneousrate of change. Outline the procedure for calculating instantaneous rate of change. Outline the procedure for calculating average rate of change. Outline the basic rules for evaluation of limits.

NRR: Net Reproduction Rate

Explain the difference between the average rate of change and the instantaneous rate of change. Provide specific examples.

Action potentials (nerve impulses) move along unmyelinated neurons in the digestive tract at a speed of 7 m/s. Action potentials move along myelinated neurons in the digestive tract at a speed of 120 m/s. How much faster (as a %) does the action potential travel along the myelinated neuron in comparison to the unmyelinated neuron?

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Speedometer readings for a vehicle (in motion) at 4-second intervals are given in the table. t (sec) v (ft/s) 4 8 12 16 20 24 22 39 49 48 35 Estimate the distance traveled by the vehicle during this 24-second period using the midpoint rule and three sub-intervals, M3. M3 = ft Question Help: D Post to forum Submit Question

Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257

The table gives the outside temperature in degrees Fahrenheit on a winter day in Death Valley, California.   Calculate the average rate of change in temperature between 8:00 am and 11:00 am

* 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