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Definition
1. We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on.
2. We say that at x = c , f(x) consist a relative (or local) maximum if f ( x ) ≤ f (c ) for every x in some open interval approximately x = c .
3. We say that f(x) consist an absolute (or global) minimum at x = c if f (x) ≥ f (c) for every x in the domain we are working on.
4. We say that f(x) consists a relative (or local) minimum at x = c if f ( x ) ≥ f (c ) for every x in some open interval approximately x = c .
Exponential and Geometric Model Exponential model y = ab x Take log of both sides log y = log a + log b x log y = log a + xlog b Assume log y = Y and log a
The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer? Let x =
ARITHMETIC PROGRESSIONS: One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories Examp
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Inverse Tangent : Following is the definition of the inverse tangent. y = tan -1 x ⇔ tan y = x for -∏/2 ≤ y ≤ ?/2 Again, we have a limi
Primary, note that quadratic is another term for second degree polynomial. Thus we know that the largest exponent into a quadratic polynomial will be a2. In these problems we will
If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans: (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0
Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r
2feet wide and 12 feet long.tile is 2feet wide and 1.5feet long.how many tiles do I need
The last topic that we want to discuss in this section is that of intercepts. Notice that the graph in the above instance crosses the x-axis in two places & the y-axis in one plac
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