Some Math Problems

Example 1: Given 4 |x + 1| ≥ x -1 Solve for x

Example 2: Solve |x + 3| + |x – 1| > |2x + 1| – |x – 2| + 4

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EXAMPLE 1: Given: |x -2| > 3x solve for x
EXAMPLE 2: Given: |x – 1| < |2x + 3| – 4 solve for x and graph

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Solve and graph: 2 – (1/x) < 3

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A right triangle has an area of 25 cm2. Express the hypotenuse, b, of this triangle as a function of its perimeter, p

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In a geometric sequence, t1 + t2 + t3 = 21 and t3 + t4 + t5 = 84, find the first five terms.

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In an arithmetic series having the first term 3, and common difference not equal to zero, the 2nd and the 7th, and 22nd terms are the first three terms in a geometric sequence.
a) Determine the first four terms of the geometric sequence.
b) What tem in the arithmetic sequence is the forth term in the geometric sequence?

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Factor: 9 x^2 – 25 y^2 + 10 y – 1

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Given: f (x) = x + 4 g (x) = (x – 2)2 f (g (u (x))) = 4×2 – 8x + 8
Find u (x) = ?

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What is the last digit of 2002^2002

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Calculate sin 112.5

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Write y = tan 6x in the form of tan x

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Related Rates and Optimization Problem

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Given:  x³ + y³ = 6xy,   find the second derivative.