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Math 151 Section 3.6 Optimization Example 1 A manufacturer wants
... Find the radius of the can that would produce a maximum volume. First find formula for the volume of the coke can. Surface area of cylinder: S = 2πr + 2πrh Volume of a cylinder: V = πr 2 h ...
... Find the radius of the can that would produce a maximum volume. First find formula for the volume of the coke can. Surface area of cylinder: S = 2πr + 2πrh Volume of a cylinder: V = πr 2 h ...
Semantics
... communicate with each other. • All the speakers of a language share a basic vocabulary—the sounds and meanings of morphemes and words. Each of us knows the meanings of thousands of words. This knowledge permits us to use words to express our thoughts and to understand the thoughts of others. The mea ...
... communicate with each other. • All the speakers of a language share a basic vocabulary—the sounds and meanings of morphemes and words. Each of us knows the meanings of thousands of words. This knowledge permits us to use words to express our thoughts and to understand the thoughts of others. The mea ...
1. Sequences and Recursion 2. You should be familiar with
... name of the sequence. In this case e1 is the first term in the sequence, which is 2. 8. Sometimes it is easy to tell the pattern and be able to skip ahead several terms. Suppose we wished to find the 24th term. Each term is two larger than the previous term, so the 24th term is 24 times 2, or 48. 9. ...
... name of the sequence. In this case e1 is the first term in the sequence, which is 2. 8. Sometimes it is easy to tell the pattern and be able to skip ahead several terms. Suppose we wished to find the 24th term. Each term is two larger than the previous term, so the 24th term is 24 times 2, or 48. 9. ...
Quadratic formula and complex numbers
... Simplifying a Radical Review Simplify each radical and leave the answer in exact form. ...
... Simplifying a Radical Review Simplify each radical and leave the answer in exact form. ...
1-6 The Coordinate Plane
... Sometimes you may know the coordinates of the midpoint and one endpoint, and you need to find the coordinates of the second endpoint. You still use the midpoint formula to find the coordinates of the other endpoint, but in a slightly different fashion. Example: The midpoint of DG is M (-1,5). One en ...
... Sometimes you may know the coordinates of the midpoint and one endpoint, and you need to find the coordinates of the second endpoint. You still use the midpoint formula to find the coordinates of the other endpoint, but in a slightly different fashion. Example: The midpoint of DG is M (-1,5). One en ...
a note on the recursive unsolvability of primitive recursive arithmetic
... th(fe) =sub(i, i) is valid and hence provable. But if this formula and (2) are provable then by modus ponens and substitution (Ez). z^k &f(z) = sub(i, i). Thus sub(i, i) is one of the first k nontheorems, contrary to hypothesis. Suppose (2) is not a theorem. By hypothesis,/enumerates all nontheorems ...
... th(fe) =sub(i, i) is valid and hence provable. But if this formula and (2) are provable then by modus ponens and substitution (Ez). z^k &f(z) = sub(i, i). Thus sub(i, i) is one of the first k nontheorems, contrary to hypothesis. Suppose (2) is not a theorem. By hypothesis,/enumerates all nontheorems ...
09 Analyzing the Data - Mean, median and mode
... •OK…let’s analyze a different scenario….. •Joe Blow gets off the bus. Bill Gates gets on. Here is the new income distribution: ...
... •OK…let’s analyze a different scenario….. •Joe Blow gets off the bus. Bill Gates gets on. Here is the new income distribution: ...
Simplifying Formulas and Like Terms
... Look at the example of 7a + 2b. Are these like terms? Since they have different letter parts, they are not like terms. Hence we cannot add them. Think of it like 7 apples plus 2 bananas. That will not equal 9 apple/bananas. It is just 7 apples and 2 bananas. That is a good way of thinking about add ...
... Look at the example of 7a + 2b. Are these like terms? Since they have different letter parts, they are not like terms. Hence we cannot add them. Think of it like 7 apples plus 2 bananas. That will not equal 9 apple/bananas. It is just 7 apples and 2 bananas. That is a good way of thinking about add ...
CHAPTER 9
... exponential function (función exponencial) A function of the form f(x)= abx, where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1. exponential growth (crecimiento exponencial) An exponential function of the form f(x)= abxin which b > 1. If r is the rate of growth, then the function ca ...
... exponential function (función exponencial) A function of the form f(x)= abx, where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1. exponential growth (crecimiento exponencial) An exponential function of the form f(x)= abxin which b > 1. If r is the rate of growth, then the function ca ...
Document
... Note: the construction need not be easy or obvious (most of the time it isn't). Stare at the problem, think about it, draw pictures (if possible), doodle... eventually something may happen (no guarantee). The only way you get reasonably proficient at concocting proofs of (simple) theorems is t ...
... Note: the construction need not be easy or obvious (most of the time it isn't). Stare at the problem, think about it, draw pictures (if possible), doodle... eventually something may happen (no guarantee). The only way you get reasonably proficient at concocting proofs of (simple) theorems is t ...
Stoichiometry
... to the percentage composition. The Molecular Formula may be equal to the Empirical formula or a whole number multiple of the Empirical formula. Example: Glucose C6H12 O6 Molecular Weight = 180 g/mol The simplest whole number ratio of the elements is C1H2O1 and this is the result that will be obtaine ...
... to the percentage composition. The Molecular Formula may be equal to the Empirical formula or a whole number multiple of the Empirical formula. Example: Glucose C6H12 O6 Molecular Weight = 180 g/mol The simplest whole number ratio of the elements is C1H2O1 and this is the result that will be obtaine ...
Ambiguity
![](https://en.wikipedia.org/wiki/Special:FilePath/Alice_05a-1116x1492.jpg?width=300)
Ambiguity is a type of uncertainty of meaning in which several interpretations are plausible. It is thus an attribute of any idea or statement whose intended meaning cannot be definitively resolved according to a rule or process with a finite number of steps. (The ambi- part of the name reflects an idea of ""two"" as in two meanings.)The concept of ambiguity is generally contrasted with vagueness. In ambiguity, specific and distinct interpretations are permitted (although some may not be immediately apparent), whereas with information that is vague, it is difficult to form any interpretation at the desired level of specificity.Context may play a role in resolving ambiguity. For example, the same piece of information may be ambiguous in one context and unambiguous in another.