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The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What we indicate by ordered pair is that the pair (a, b) is not the same pair as (b, a) unless a = b. It implies that AΧB ≠ BΧA in common. Also if A contains m kind of elements and B contains n elements then AΧB have mΧn elements.
Same as we may define AΧA = {(x, y); x€A and y€A}. We may also define cartesian product of more than two sets.
Write 3.5 × 104 in decimal notation? Move the decimal point 4 places to the right to get 35,000.
Two people are 50 feet separately. One of them begin walking north at rate so that the angle illustrated in the diagram below is changing at constant rate of 0.01 rad/min. At what
all formulas of plane figures
1) Find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal) 2) Sketch the level curves of f(x,y) = x^2-2y^2
a) How many equivalence relations on {a, b, c, d, e, f} have b) How many arrangements are there of c) How many triangles are resolute by the vertices of a regular polygon w
a local pizza store offers medium two-topping pizzas delivered for $6.00 per pizza plus a $1.50 delivery charge per order. on weekends, the store runs a game day special: if six or
Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation along with a coefficient of 1.
Magnitude - Vector The magnitude, or length, of the vector v → = (a1, a2, a3) is given by, ||v → || = √(a 1 2 + a 2 2 + a 2 3 ) Example of Magnitude Illus
PROOF OF VARIOUS DERIVATIVE FACTS/FORMULAS/PROPERTIES Under this section we are going to prove several of the different derivative facts, formulas or/and properties which we en
Relative maximum point The above graph of the function slopes upwards to the right between points C and A and thus has a positive slope among these two points. The function ha
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