Finding increasing and decreasing intervals
... 2. Decreasing function - graph moves down as x moves to the right. What do you know about the slope of an increasing function? a decreasing function? a constant function? ...
... 2. Decreasing function - graph moves down as x moves to the right. What do you know about the slope of an increasing function? a decreasing function? a constant function? ...
7.6 graphs of sine and cosine functions
... Sinusoidal Graphs: The graph of sin x = cos (x - /2). Because of this similarity, the graphs of the two functions are called sinusoidal. Because the sine function is odd, sin(-ωx) = -sin(ωx). The cosine function is even; therefore, cos(-ωx) = cos (ωx). To graph a sinusoidal function like y = A sin ...
... Sinusoidal Graphs: The graph of sin x = cos (x - /2). Because of this similarity, the graphs of the two functions are called sinusoidal. Because the sine function is odd, sin(-ωx) = -sin(ωx). The cosine function is even; therefore, cos(-ωx) = cos (ωx). To graph a sinusoidal function like y = A sin ...
On the Number of Prime Numbers less than a Given Quantity
... given the interest which Gauss and Dirichlet have themselves shown in it over a lengthy period. For this investigation my point of departure is provided by the observation of Euler that the product Y ...
... given the interest which Gauss and Dirichlet have themselves shown in it over a lengthy period. For this investigation my point of departure is provided by the observation of Euler that the product Y ...
Introduction to differentiation 8.1
... Below is a graph of the function y = x2 . Study the graph and you will note that when x = 3 the graph has a positive gradient. When x = −2 the graph has a negative gradient. When x = 0 the gradient of the graph is zero. Note how these properties of the graph can be predicted from knowledge of the gr ...
... Below is a graph of the function y = x2 . Study the graph and you will note that when x = 3 the graph has a positive gradient. When x = −2 the graph has a negative gradient. When x = 0 the gradient of the graph is zero. Note how these properties of the graph can be predicted from knowledge of the gr ...
2006_30
... Investigations on relationship between divisors of an integer and the integer itself resulted in the definition of perfect numbers (A number which is equal to the sum of its proper divisors e.g 6, 28). Thus mathematicians defined an interesting function, an arithmetical function: Sum of proper divis ...
... Investigations on relationship between divisors of an integer and the integer itself resulted in the definition of perfect numbers (A number which is equal to the sum of its proper divisors e.g 6, 28). Thus mathematicians defined an interesting function, an arithmetical function: Sum of proper divis ...
