5. Effect of Elevation on Weight If an object weighs m poundsat sea level, then its weight W (in pounds) at a height ofh miles above sea level is given approximately by40002W(h) = m4000 + h(a) If Amy weighs 120 pounds at sea level, how much willshe weigh on Pikes Peak, which is 14,110 feet above sealevel?(b) Use a graphing utility to graph the function W = W(h).Use m = 120 pounds.(c) Create a TABLE with TbIStart = 0 and ATbl = 0.5 tosee how the weight W varies as h changes from 0 to 5 miles.(d) At what height will Amy weigh 119.95 pounds?(e) Does your answer to part (d) seem reasonable?Explain.

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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# 4. Create the equation of a function g by transforming the function y-| as follows: Shift it right 2 units, shrink it vertically by a factor of then shift it down 4 units. Write its equation using Function Notation.
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
Question 14
1. When you swim underwater, the pressure in your ears depends on the depth at which you are swimming. The formula p=0.43d relates the water pressure p, in pounds per square feet, to a depth of d feet. We can use this linear function to determine the pressure in your ears at a different depths. (a) If your depth is doubled, how did the pressure change? (b) Fill in the blank: i. If the depth is increasing, the pressure is ii. If the depth is decreasing, the pressure is
Extra Problem: A sprinter runs the 100-yard dash in 10 seconds in the following fashion. She starts at rest (0 velocity), and for the first 6 seconds she speeds up to her highest speed. Unable to maintain that speed, she is slowing down for the last 4 seconds. You are to sketch a graph of her position along the track (in yards) as a function of time (in seconds). Be aware that she does not turn around and run toward the starting line, and she runs through the finish line rather than coming to a stop at the finish line.
Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1998 as a function of depth and time of year. Estimate the temperature in the lake on October 7 (day 280) at a depth of 5 m and on June 9 (day 160) at a depth of 10 m. X°C (day 280 and depth 5 m) X°C (day 160 and depth 10 m) Enter a number. Depth (m) 0 sti 10- 15+ 12 16 + 120 20 160 20 Day of 1998 16 200 240 280
A $360,000 building depreciates over time. The value y of the building after x months of use is given by the function: y = 360,000 - 1500x graph this function x greater than or equal to 0 how long until the building completely depreciated what does (60, 270,000) point mean on the graph

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