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Counting Principles" Please respond to the following:
• Compare and contrast permutations and distinguishable permutations. Provide a formula for each.
• State the fundamental counting principle and explain it in your own words.
• Explain the difference between a permutation and a combination. Provide an example of each.
Write the polynomial as factors.
Determine whether each of the following partial differential equations is linear or nonlinear, state the order of the equation, and name the dependent and independent variables.
Draw a scatter plot and find the equation of the lest square line for the given data. From the least square equation, find the percentage for year 1999.
The sum of the measure of an angle and five times its complement is 300 . What is the measure of the angle?
Find the intervals of increase and decrease for f(x) = 6x3 + 54x2 - 228x - 7. Whaqt is an equation for the tangent line to the curve y = (3x2 + x - 1)9at the point where x = 0.
Convert the following equations into logarithmic form: How much interest will you accumulate if interest is compounded annually over the next five years?
Which is an example of an algebraic expression
Find the value of X at which the minimum or maximum occurs.
Find the domain for the two rational expressions. Write the domain of each rational expression in set notation. Do both expressions have excluded values? explain why
Find the maximize size
Sally and Bill work at different jobs. Sally earns $12 per hour and Bill earns $10 per hour. They each earn the same amount per week but Bill works 3 more hours. How many hours a week does Bill work? Show your step by step work!
Using truth table for checking the equivalence.
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