PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
Chapter 3, Problem 47CR
a.
To determine
The domain of the function.
a.
Expert Solution
Answer to Problem 47CR
The domain of the function is
Explanation of Solution
Given information:
The time
Calculation:
The given function is
The function is defined when,
And, since, height cannot be less than 0 that is negative. Therefore, the domain of the function is
Hence,
The domain of the function is
b.
To determine
To identify: Any asymptote and graph the function
b.
Expert Solution
Answer to Problem 47CR
The vertical asymptote is at
Explanation of Solution
Given information:
The time
Calculation:
The graph of the function is drawn below:
From the graph the asymptotes is the vertical asymptote at
Hence,
The vertical asymptote is at
c.
To determine
To find: The time required to further increase its altitude when the plane approaches its absolute ceiling.
c.
Expert Solution
Answer to Problem 47CR
As the plane approaches its ceiling, the time required to further increase its altitude further increases.
Explanation of Solution
Given information:
The time
Calculation:
For the function
As the value of h approaches its ceiling that is 18000. The value
Hence,
As the plane approaches its ceiling, the time required to further increase its altitude further increases.
d.
To determine
To find: The amount of time it takes for the plane to climb to an altitude of 4000 feet.
d.
Expert Solution
Answer to Problem 47CR
Time required is 5.46 minutes.
Explanation of Solution
Given information:
The time
Calculation:
To find the time required for the plane to climb to an altitude of 4000 feet.
Substitute
Hence,
Time required is 5.46 minutes.
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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- Good Day, Kindly assist me with the following query. Any assistance would be appreciated.arrow_forwardCan u give rough map of any room u can choose cm on toparrow_forward3. We'd like to know the first time when the population reaches 7000 people. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 7000. Notice that you will need to adjust your window so that you can see values as big as 7000! Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t> 0 does the line intersect with your exponential function? Round your answer to two decimal places. (You don't need to show work for this part.) (2 points)arrow_forward
- Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of 0.35%. Use this information for all the problems below. 1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3 points)arrow_forwardA house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007. A) If the value is growing exponentially, what was the annual growth rate between 1988 and 2007? Round the growth rate to 4 decimal places. r = B) What is the correct answer to part A written in percentage form? r = 3 %.arrow_forwardB G R + K Match each equation with a graph above - 3(0.9)* 1 a. green (G) 3(1.5)* b. black (K) 3(0.73)* c. blue (B) d. red (R) I ✪ 4(1.21)* - 3(1.21)* e. orange (O)arrow_forward
- Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of 0.35%. Use this information for all the problems below.arrow_forwardTwo cables tied together at C are loaded as shown. Given: Q = 130 lb. 8 30° C B Q 3 4 Draw the free-body diagram needed to determine the range of values of P for which both cables remain taut.arrow_forwardCable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft A 50° 20° B x C Identify the angles 0.0, and 8, that define the direction of force. 1 By N 2 Match each of the options above to the items below. 142.1° 57.1° 73.3° 3 8.arrow_forward
- In the given figure, P = 51 lb . 65° C 25° 35° 75 lb P Determine the corresponding magnitude of the resultant. The corresponding magnitude of the resultant is| lb.arrow_forwardCable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft D y A B 20° 50° x C Identify the x, y, and z components of the force exerted by the cable on the anchor B. 1 F. FI 3 Fy 2 Match each of the options above to the items below. 2,120 lb 1,120 lb -3,076 lbarrow_forwardIn the given figure, P = 51 lb. 65° 25° 35° 75 lb P B Determine the required tension in cable AC, knowing that the resultant of the three forces exerted at point C of boom BC must be directed along BC. The required tension in cable AC is lb.arrow_forward
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