Biocalculus
15th Edition
ISBN: 9781133109631
Author: Stewart, JAMES, Day, Troy
Publisher: Cengage Learning,
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Chapter 1.5, Problem 70E
a.
To determine
Calculate the number of DNA molecules as a function of the number n of PCR cycles.
b.
To determine
Calculate the equation for the number of PCR cycles it will take for the DNA sample to reach the detection threshold.
c.
To determine
Find the relationship between differences in initial number of molecules and differences in the time to reach the detection threshold and also draw the graph of the number of cycles needed to reach the deterction threshold as a function of the initial number of molecules.
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Exercise 11.3 A slope field is given for the equation y' = 4y+4.
(a) Sketch the particular solution that corresponds to y(0) = −2
(b) Find the constant solution
(c) For what initial conditions y(0) is the solution increasing?
(d) For what initial conditions y(0) is the solution decreasing?
(e) Verify these results using only the differential equation y' = 4y+4.
Aphids are discovered in a pear orchard. The Department of Agriculture has determined that the population of aphids t hours after the orchard has been sprayed is approximated by N(t)=1800−3tln(0.17t)+t where 0<t≤1000.
Step 1 of 2:
Find N(63). Round to the nearest whole number.
Chapter 1 Solutions
Biocalculus
Ch. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.1 - Prob. 3ECh. 1.1 - Prob. 4ECh. 1.1 - Prob. 5ECh. 1.1 - Prob. 6ECh. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - Prob. 9ECh. 1.1 - Prob. 10E
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