CHAPTER 3 Polynomial and Rational Functions /ha58. Height of a Projected Rock A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. (a) Give the function that describes the height of the rock in terms of time t. (b) Determine the time at which the rock reaches its maximum height and the maxi- mum height in feet. (c) For what time interval will the rock be more than 120 ft above ground level? (d) After how many seconds will it hit the ground? 59. Area ofa Parking Lot One campus of Houston Community College has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 640 ft of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing. X X (a) Express the length of the remaining side to be fenced in terms of x. (b) What are the restrictions on x? (c) Determine a function sA that represents the area of the parking lot in terms of x. (d) Determine the values of x that will give an area between 30,000 and 40,000 ft2. (e) Wht dimensions will give a maximu
CHAPTER 3 Polynomial and Rational Functions /ha58. Height of a Projected Rock A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. (a) Give the function that describes the height of the rock in terms of time t. (b) Determine the time at which the rock reaches its maximum height and the maxi- mum height in feet. (c) For what time interval will the rock be more than 120 ft above ground level? (d) After how many seconds will it hit the ground? 59. Area ofa Parking Lot One campus of Houston Community College has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 640 ft of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing. X X (a) Express the length of the remaining side to be fenced in terms of x. (b) What are the restrictions on x? (c) Determine a function sA that represents the area of the parking lot in terms of x. (d) Determine the values of x that will give an area between 30,000 and 40,000 ft2. (e) Wht dimensions will give a maximu
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 47PS
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Transcribed Image Text:CHAPTER 3 Polynomial and Rational Functions
/ha58. Height of a Projected Rock A rock is projected directly upward from ground level
with an initial velocity of 90 ft
per sec.
(a) Give the function that describes the height of the rock in terms of time t.
(b) Determine the time at which the rock reaches its maximum height and the maxi-
mum height in feet.
(c) For what time interval will the rock be more than 120 ft above ground level?
(d) After how many seconds will it hit the ground?
59. Area ofa Parking Lot One campus of
Houston Community College has plans to
construct a rectangular parking lot on land
bordered on one side by a highway. There
are 640 ft of fencing available to fence the
other three sides. Let x represent the length
of each of the two parallel sides of fencing.
X
X
(a) Express the length of the remaining side
to be fenced in terms of x.
(b) What are the restrictions on x?
(c) Determine a function sA that represents the area of the parking lot in terms of x.
(d) Determine the values of x that will give an area between 30,000 and 40,000 ft2.
(e) Wht dimensions will give a maximu
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