3. (5 points) An elevator moves up and down a building so that its height above the ground (infloors) after t seconds iss(t) = t-t+ 4.(a) Find the velocity of the elevator at time t.

Answered: 3. (5 points) An elevator moves up and…

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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The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t) > 0, and f"(t) < 0. Which of the following is the correct interpretation of this information? The biker'sistance is increasing less and less. The biker's distance is increasing more and more. The biker's distance is decreasing less and less. O The biker's distance is decreasing more and more. O none of the above
3.4(4) A distress rocket is launched from the top of a hill at the edge of the ocean. Its height above sea level, in meters, at time t, expressed in seconds, is represented by the Function (shown in the image) A) What is the initial speed of the distress rocket? B) What is its height at the time of launch? C) How fast does the distress rocket descend 6 seconds after being launched?
4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t³ – 120t2 + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5

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3. (5 points) An elevator moves up and down a building so that its height above the ground (in floors) after t seconds is s(t) = t-t+4. (a) Find the velocity of the elevator at time t.