Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)
Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137553457
Author: Raymond Greenwell, Nathan Ritchey
Publisher: PEARSON+
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Chapter 7.4, Problem 37E

In Exercises 37-48, use the definite integral to find the area between the x - a x i s and f ( x ) over the indicated interval. Check first to see if the graph crosses the x - a x i s in the given interval.

f ( x ) = 2 x − 14 ; [ 6 , 10 ]

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Chapter 7 Solutions

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

Ch. 7.1 - YOUR TURN Find an antiderivative of f(x)=8x7.Ch. 7.1 - Prob. 2YTCh. 7.1 - Prob. 3YTCh. 7.1 - Prob. 4YTCh. 7.1 - Prob. 5YTCh. 7.1 - Prob. 6YTCh. 7.1 - YOUR TURN Find an equation of the curve whose...Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3E
Ch. 7.1 - Explain why the restriction n1 is necessary in the...Ch. 7.1 - Prob. 5ECh. 7.1 - Find the following. 9dyCh. 7.1 - Find the following. (2z+3)dzCh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Find the following. x2(x4+4x+3)dxCh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Find the following. (56t5/2+18t7/2)dtCh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Find the following. 13x2dxCh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Find the following. (3x+4e0.4+eo.1)dxCh. 7.1 - Find the following. (9x3e0.4x)dxCh. 7.1 - Prob. 33ECh. 7.1 - Find the following. 2y1/23y26ydyCh. 7.1 - Prob. 35ECh. 7.1 - Find the following. (v2e3v)dvCh. 7.1 - Prob. 37ECh. 7.1 - Find the following. (2y1)2dyCh. 7.1 - Find the following. x+1x3dxCh. 7.1 - Find the following. 12z3z3dzCh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Find the following. (3cosx4sinx)dxCh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - The slope of the tangent line to a curve is given...Ch. 7.1 - LIFE SCIENCE APPLICATIONS Biochemical Excretion If...Ch. 7.1 - LIFE SCIENCE APPLICATIONS Flour Beetles A model...Ch. 7.1 - Concentration of a solute According to the Ficks...Ch. 7.1 - Cell Growth Under certain conditions, the number...Ch. 7.1 - Blood Pressure The rate of change of the volume...Ch. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Motion under gravityShow that an object thrown...Ch. 7.1 - Rocket A small rocket was launched straight up...Ch. 7.1 - Rocket science In the 1999 movie October Sky,...Ch. 7.2 - YOUR TURN Find 8x(4x2+8)6dx.Ch. 7.2 - YOUR TURN Find x33x4+10dx.Ch. 7.2 - YOUR TURN Find x+1(4x2+8x)3dx.Ch. 7.2 - YOUR TURN Find x+3x2+6xdx.Ch. 7.2 - YOUR TURN Find x3ex4dx.Ch. 7.2 - Prob. 6YTCh. 7.2 - Prob. 7YTCh. 7.2 - Prob. 8YTCh. 7.2 - Integration by substitution is related to what...Ch. 7.2 - The following integrals may be solved using...Ch. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 25ECh. 7.2 - Use substitution to find the indefinite integral....Ch. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 30ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 48ECh. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Use substitution to find each indefinite integral....Ch. 7.2 - Use substitution to find each indefinite...Ch. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Stan and Ollie work on the integral 2x(x2+2)dx....Ch. 7.2 - Outpatient Visits According to the data from the...Ch. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.3 - YOUR TURN 1 Repeat Example 1 to approximate...Ch. 7.3 - Prob. 2YTCh. 7.3 - Explain the difference between an indefinite...Ch. 7.3 - Complete the following statement. 04(x2+3)dx=limn,...Ch. 7.3 - Let f(x)=2x+5, x1=0, x2=2, x3=4, x4=6, and x=2. a....Ch. 7.3 - Let f(x)=1/x, x1=1/2, x2=1, x3=3/2, x4=2, and...Ch. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - In Exercise 5-14, approximate the area under the...Ch. 7.3 - Prob. 11ECh. 7.3 - In Exercise 5-14, approximate the area under the...Ch. 7.3 - In Exercise 5-14, approximate the area under the...Ch. 7.3 - Prob. 14ECh. 7.3 - Consider the region below f(x)=x/2, above the...Ch. 7.3 - Consider the region below f(x)=5x, above the...Ch. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - In Exercises 2631, estimate the area under each...Ch. 7.3 - APPLY IT Foot-and-Mouth Epidemic In 2001, the...Ch. 7.3 - 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Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Evaluate each definite integral. 143(2p+1)2dpCh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Evaluate each definite integral. 10y(2y23)5dyCh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Evaluate each definite integral. 0/4sinxdxCh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Evaluate each definite integral. /22/3cosxdxCh. 7.4 - Prob. 36ECh. 7.4 - In Exercises 37-48, use the definite integral to...Ch. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - In Exercises 37-48, use the definite integral to...Ch. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - In Exercises 37-48, use the definite integral to...Ch. 7.4 - 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