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Simplify the expression. Assume that variables represent non- zero real numbers.
6a^2 (a^-2)^3_____________(a^-1)^-2
Simlify the answer (Type in exponential notation Type positive exponents)
Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).
Explain the difference between a variable, a variable expression, and an equation. Explain the difference between a constant and a variable. Explain the difference between a constant and a coefficient.
The ABC Cement Corporation produces three varieties of high quality cements that are supplied to construction companies. The annual demand for all these varieties and their corresponding probabilities for the year 2010 are as follows.
Solve equation in single variable
Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.
Solve the following quadratic equations
Using factor method for the quadratic equation
Suppose K is a Galois extension of F of degree p^n for some prime p and some n >= 1. Show that there are Galois extensions of F contained in K of degree p and p^(n-1).
Exhibit the vertex and y-intercept for the quadratic expression y = x^2 - 4. How many zeros does this expression have? Exhibit those ordered pairs which constitute these zeros.
Exponential growth function.
The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2247.20 in 2 years?
Find the slope intercept equation
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