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If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to?
The statement in the question would translate to 3x2(2x3y)4. The word quantity reminds you to put that element of the expression in parentheses. Evaluate the exponent through multiplying each number or variable inside the parentheses through the exponent outside the parentheses: 3x2(24x3×4y4); simplify: 3x2(16x12y4). Multiply the coefficients and add the exponents of such as variables: 3(16x2+12y4); simplify: 48x14y4.
Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b]. We will also suppose that f(x) ≥ g(x) on [a,b].
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Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and
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L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
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Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:
CONSTRUCTING TABLES VERSUS ROTE LEARNING : Ask any adult how she would help a child to acquire simple multiplication facts. There is a very strong possibility that she would say,
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 ,
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