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From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports. Did you have any difficulty with this activity? Explain why or why not.
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
Determine the minimum production level required for a day's production to be in the top 5% of production levels.
A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.
Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Find coefficients An and Bn such that this is satisfied.
A New York Times editorial criticized a chart caption that described a dental rinse as one that "reduces plaque on teeth by over 300%." What is wrong with that statement?
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.
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