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Invariant lines under transformation, What lines are invariant under the tr...

What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!

Rational expressions, Now we have to look at rational expressions. A ration...

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e

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Convert each of the following points into the specified coordinate system.  (a) (-4, 2 Π /3) into Cartesian coordinates. (b) (-1,-1) into polar coordinates.  Solution

Fibonacci number, 1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2...

1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.

Surface area, Find the amount of sheet metal need to form a conical funnel ...

Find the amount of sheet metal need to form a conical funnel of base radius 30cm with a vertical height of 50cm, allowing for 0.5cm overlap. Find the total surface area?

Example for articulate reasons and construct arguments, A Class 4 teacher w...

A Class 4 teacher was going to teach her class fractions. At the beginning of the term she asked the children, "If you had three chocolates, and wanted to divide them equally among

Area of regular polygon, Suppose a  regular polygon , which is an N-sided w...

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