Biocalculus
Biocalculus
15th Edition
ISBN: 9781133109631
Author: Stewart, JAMES, Day, Troy
Publisher: Cengage Learning,
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter 4.2, Problem 55E
To determine

To sketch : The graph of m as a function of v , where the mass of the particle moving with velocity v is m=m01−v2c2 with m0 as mass of the particle at rest and c is the speed of light.

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The graph of f' is below. Use it to determine where the local minima and maxima for f are. If there are multiple answers, separate with commas. 2 f'(x) N -5 -4 3-2-1 -1 -2 -3 -4 12 3 4 5 -x Local minima at x Local maxima at x
The graph of f' is below. Use it to determine the intervals where f is increasing. -5-4-32 4- 3 2 1 -2 -3 +x 2 3 4 5
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Chapter 4 Solutions

Biocalculus

Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 61ECh. 4.2 - Prob. 55ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 27ECh. 4.5 - Prob. 11E
Ch. 4 - Prob. 3TFQCh. 4 - Prob. 4TFQCh. 4 - Prob. 5TFQCh. 4 - Prob. 32E
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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY