Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter 9.1, Problem 52E
To determine
To write: The differential equation for the given data and interpret the sign of differential equation.
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Ex=1/e2
Two airplanes are flying in the air at the same height. Airplane A is flying east at 481 km/h and
airplane B is flying north at 745 km/h. If they are both heading to the same airport, located 75
kilometers east of airplane A and 64 kilometers north of airplane B, at what rate is the
distance between the airplanes changing?
a. -849.4841 km/h
b.-117.7036 km/h
c. 849.4841 km/h
d. -235.4072 km/h
e. 117.7036 km/h
f. 1698.9683 km/h
At time t = 0, Car A passes through an intersection and goes east at a
speed of 40 feet per second. Four seconds later, Car B passes through the
same intersection and goes north at a speed of 60 feet per second.
Find the rate at which the distance between A and B is changing when A
is 320 feet from the intersection.
Rate =
feet per second
(Enter an integer.)
Chapter 9 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. 9.1 - Show that y=Cx+1 is the general solution of the...Ch. 9.1 - Prob. 2MPCh. 9.1 - Prob. 3MPCh. 9.1 - Prob. 4MPCh. 9.1 - Prob. 5MPCh. 9.1 - Prob. 1EDCh. 9.1 - Prob. 2EDCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3E
Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - In Problems 110, find the derivative. (If...Ch. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - In Problems 1120, show that the given function is...Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - In Problems 2124, determine which of the slope...Ch. 9.1 - In Problems 2124, determine which of the slope...Ch. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - In Problems 2528, use the appropriate slope...Ch. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - In Problems 2938, show that the given function y...Ch. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - In Problems 2938, show that the given function y...Ch. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - If y is defined implicitly by the given equation,...Ch. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - In Problems 55 and 56, use the general solution y...Ch. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - In Problems 59 and 60, use window dimensions Xmin...Ch. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Rumor spreadGompertz growth model. The rate of...Ch. 9.2 - Solve: y=4x3y2.Ch. 9.2 - Prob. 2MPCh. 9.2 - Repeat Example 3 if the mothballs lose half their...Ch. 9.2 - Prob. 4MPCh. 9.2 - Prob. 5MPCh. 9.2 - Prob. 1EDCh. 9.2 - Prob. 2EDCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - In Problems 18, find the most general...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - In Problems 912, write a differential equation...Ch. 9.2 - In Problems 912, write a differential equation...Ch. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - In Problems 2130, find the general solution for...Ch. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - In Problems 2130, find the general solution for...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - In Problems 2130, find the general solution for...Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - In Problems 3140, find the general solution for...Ch. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - In Problems 3140, find the general solution for...Ch. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - In Problems 4146, find the general solution for...Ch. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Advertising. A company is using radio advertising...Ch. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Prob. 72ECh. 9.2 - Newtons law of cooling states that the rate of...Ch. 9.2 - Prob. 74ECh. 9.2 - Population growth. A culture of bacteria is...Ch. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - Prob. 81ECh. 9.2 - Learning. The number of words per minute. N, a...Ch. 9.2 - Prob. 83ECh. 9.3 - Solve:xy+3y=4x.Ch. 9.3 - Prob. 2MPCh. 9.3 - Repeat Example 3 if the account earns 5%...Ch. 9.3 - If D = 70 + 2p(t) + 2p(t), S = 30 + 6p(t) + 3p(t)....Ch. 9.3 - Repeat Example 5 if water is released from the...Ch. 9.3 - Prob. 1EDCh. 9.3 - Prob. 2EDCh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - In Problems 2334, find the integrating factor, the...Ch. 9.3 - Prob. 25ECh. 9.3 - In Problems 2334, find the integrating factor, the...Ch. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - In Problems 2334, find the integrating factor, the...Ch. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - In Problems 2334, find the integrating factor, the...Ch. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - In Problems 3514, find the integrating factor fix...Ch. 9.3 - In Problems 3514, find the integrating factor fix...Ch. 9.3 - Prob. 41ECh. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Supply-demand. The supply S and demand D for a...Ch. 9.3 - Prob. 68ECh. 9.3 - Pollution. A 1,000-gallon holding tank contains...Ch. 9.3 - Pollution. Rework Problem 69 if water is entering...Ch. 9.3 - Pollution. Rework Problem 69 if water is entering...Ch. 9.3 - Prob. 72ECh. 9.3 - Pollution. Refer to Problem 69. When will the tank...Ch. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - In an article in the College Mathematics Journal...Ch. 9.3 - Prob. 79ECh. 9.3 - In 1960, William K. Estes proposed the following...Ch. 9 - In Problems 1 and 2, show that the given function...Ch. 9 - In Problems 1 and 2, show that the given function...Ch. 9 - In Problems 3 and 4, determine which of the...Ch. 9 - In Problems 3 and 4, determine which of the...Ch. 9 - In Problems 5 and 6, use the appropriate slope...Ch. 9 - In Problems 5 and 6, use the appropriate slope...Ch. 9 - In Problems 7 and 8, write a differential equation...Ch. 9 - In Problems 7 and 8, write a differential equation...Ch. 9 - In Problems 9 and 10, describe in words the rate...Ch. 9 - In Problems 9 and 10, describe in words the rate...Ch. 9 - In Problems 1116, determine whether the...Ch. 9 - In Problems 1116, determine whether the...Ch. 9 - In Problems 1116, determine whether the...Ch. 9 - In Problems 1116, determine whether the...Ch. 9 - In Problems 1116, determine whether the...Ch. 9 - Prob. 16RECh. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems 1724, find the general solution....Ch. 9 - Prob. 23RECh. 9 - In Problems 1724, find the general solution....Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - In Problems, 2532, find the particular solution...Ch. 9 - Solve the following differential equation two...Ch. 9 - Give an example of an equation that can be solved...Ch. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Rumor spread. A single individual starts a rumor...
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