Understanding the Central Limit Theorem
... The following is an example that demonstrates how the Central Limit Theorem works. Let Y be the outcome from tossing a die. Note that Y is uniformly distributed. There is a equal probability (1/6) that Y takes any of the values in set S={1,2,3,4,5,6}. The mean value μ of Y is 3.5, and the variance i ...
... The following is an example that demonstrates how the Central Limit Theorem works. Let Y be the outcome from tossing a die. Note that Y is uniformly distributed. There is a equal probability (1/6) that Y takes any of the values in set S={1,2,3,4,5,6}. The mean value μ of Y is 3.5, and the variance i ...
Technology
... (ii) Calculate and interpret (f o t)(x) and (t o f )(x). Which results in a lower cost to you? ...
... (ii) Calculate and interpret (f o t)(x) and (t o f )(x). Which results in a lower cost to you? ...
POWER SERIES
... a Function is Increasing or Decreasing Let f be continuous on the interval a, b .To find the open intervals on which f is increasing or decreasing, use the following steps. 1. Locate the critical numbers of f x in a, b and use these numbers to determine the test intervals. 2. Determine t ...
... a Function is Increasing or Decreasing Let f be continuous on the interval a, b .To find the open intervals on which f is increasing or decreasing, use the following steps. 1. Locate the critical numbers of f x in a, b and use these numbers to determine the test intervals. 2. Determine t ...
What is the Second Fundamental Theorem of Calculus
... Objectives: to see that a function can be defined by an integral and that it can be differentiated to find the maximum or minimum. Grouping: students are given opportunity to work in cooperative setting during this class. Time is purposely set aside for students to work collaboratively on at least o ...
... Objectives: to see that a function can be defined by an integral and that it can be differentiated to find the maximum or minimum. Grouping: students are given opportunity to work in cooperative setting during this class. Time is purposely set aside for students to work collaboratively on at least o ...
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... CS 322: Prelim 1 Review Questions Solutions posted on the course website at noon, Monday, March 11. These problems are not necessarily typical exam problems. The exam syllabus is defined by S1-S7, P1-P3, and all readings through §6.2. 1. Assume that M is a positive integer and that M and M + 2 are f ...
... CS 322: Prelim 1 Review Questions Solutions posted on the course website at noon, Monday, March 11. These problems are not necessarily typical exam problems. The exam syllabus is defined by S1-S7, P1-P3, and all readings through §6.2. 1. Assume that M is a positive integer and that M and M + 2 are f ...
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Average Value of a Function, The 2 nd Fundamental Theorem of
... 3. Find the number b such that the average value of f ( x) 2 7 x x3 on the interval 0,b is equal to 3. Show your setup and integration work. Only use your TI-Nspire to solve for b. ...
... 3. Find the number b such that the average value of f ( x) 2 7 x x3 on the interval 0,b is equal to 3. Show your setup and integration work. Only use your TI-Nspire to solve for b. ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.