Study Guides

41.
Related Rates Help
Introduction to Related Rates If a tree is growing in a forest, then both its height and its radius will be increasing. These two growths will depend in turn on (i) the amount of sunlight that hits the tree, (ii) the amount of nutrients in the soil, (iii) the ...
Source: McGrawHill Professional 
42.
Falling Bodies Help
Introduction to Falling Bodies It is known that, near the surface of the earth, a body falls with acceleration (due to gravity) of about 32 ft/sec 2 . If we let h ( t ) be the height of ...
Source: McGrawHill Professional 
43.
Applications of the Derivative Practice Test
Review the following concepts if needed: Graphing of Functions Help
Source: McGrawHill Professional 
Source: McGrawHill Professional

Source: McGrawHill Professional

46.
Other Indeterminate Forms Help
Introduction to Other Indeterminate Forms By using some algebraic manipulations, we can reduce a variety of indeterminate limits to expressions which can be treated by l’Hôpital’s Rule. We explore some of these techniques in this section.
Source: McGrawHill Professional 
47.
Improper Integrals Help
Introduction to Improper Integrals The theory of the integral that we learned earlier enables us to integrate a continuous function f ( x ) on a closed, bounded interval [ a, b ]. See Fig. 5.1. However, it is frequently convenient ...
Source: McGrawHill Professional 
48.
More on Improper Integrals Help
Introduction to More on Improper Integrals Suppose that we want to calculate the integral of a continuous function f ( x ) over an unbounded interval of the form [ A , +∞) or (−∞, B ]. The theory of the ...
Source: McGrawHill Professional 
49.
Indeterminate Forms Practice Test
Review the following concepts if needed: l’Hôpital’s Rule Help
Source: McGrawHill Professional 
50.
Logarithm Basics Help
Introduction to Logarithm Basics There are two types of functions: polynomial and transcendental. A polynomial of degree k is a function of the form p ( x ) = a 0 + ...
Source: McGrawHill Professional