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    Basic Algebra

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    Factor trinomial

    Factor the following trinomial using the ac method. 15x^2 - 7x - 2

    Logarithme, Volumes and Graphs Problem Set

    1) An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. b) Graph this function and

    Logarithm Transformation

    The logarithm transformation can be used A. to overcome violations of the autocorrelation assumption B. to test for possible violations of the autocorrelation assumption C. to change a linear independent variable into a nonlinear independent variable D. to change a nonlinear model into a linear model

    Quadratic Functions

    1) Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula. 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is

    Solve the equation y = x2 - 6x + 8 = 0

    Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks: a)Solve by factoring, b)solve by completing the square, c)solve by using the quadratic formula

    Algebra and Trigonometry (16 Problems)

    1. Write an equation for the circle that passes through the points: (1, -1), (-5, 7), and (-6, 0). 2. Express the polar equation in rectangular form. 3. Find the total area enclosed by the graph of the polar equation r = 1 + cos 2θ. 4. Write the equation of the line tangent to the parametric curve x = tcos t, y

    Algebra - Sequence Questions

    Brackets [ ] are used to indicate a subscript, so a[n] means the nth term of a sequence. 1. Write the first four terms of the sequence defined by a[n] = 2n + 3. 2. Write the first four terms of the arithmetic sequence with a[1] = -6 and d = 4. 3. What is the common ration in the geometric sequence 4, -12, 36, -108, . .

    Fixed point of function on compact metric space

    Assume that (X, d) is a compact metric space, and let f: X -> X be a function such that the inequality d(f(x), f(y)) < d(x, y) holds for all distinct elements x, y in X. Show that f has a unique fixed point. See attached file for full problem description.

    Opposite, Odd and Even Numbers

    1. The Greeks believed matter and energy were opposites. So is Einstein right in saying opposites are equivalent? 2. Can you add opposites? 3. You can add odd numbers and even numbers. Could they represent opposite theories like Plank and Maxwell? Can even and odd numbers be used as algebra in equations.

    Logarithms and Exponents Applications Word Problems

    1. Complete table for savings in which interest is compounded continously. Initial investment Annual rate Time to double total $1000 ? ? $2281.88 2. Complete table for radioactive isotope Isotope Half-life(years) Initial quantity Amt after 1000 years 5715 ? 3.5g 3. The population of P of a city is given by P=