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A certain bacteria population is known to triple every 90 minutes. Suppose that there are initially 140 bacteria.
What is the size of the population after t hours?
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.
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
A force of 5 Newtons acts in the direction of a = -7i+3j+4k, moving a particle from point B(1, 7, 1) to point C(-7, 5,-2). What is the work done on the particle given that the displacement is measured in meters?
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
A pollster wants to determine the difference between the proportions of high-income voters and low-income voters who support a decrease in the capital gains tax. If the answer must be known to within 0.2 at the 95% confidence level and the sample ..
A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
Health Canada reported that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 16 days.
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
Adams High School has 174 freshman, 181 sophomores, 214 juniors, and 249 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
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