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An ice cube is melting. The mass of the ice cube after t minutes is m(t) grams. You are told that the rate of change of m(t) is -3 grams/min
(a) How much mass does the ice cube lose in 5 minutes?
(b) If the ice cube starts out with a mass of 70 grams how long until it has all melted?
What is the order and degree of the following differential equation. Which of the following equations are exact. What is the integrating factor of the following differential equation
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
Find a 98% confidence interval for the parameter of interest. Assume the populations to be approximately normally distributed with equal variance.
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Problem - Let F(x, y, z) = (x/y)i + (y/z)j + (z/x)k, Find the divergence of F
what is the probability that the person actually has the disease?
RETIREMENT ACCOUNT SAVINGS Chi-Tai plans to deposit $4000/year in his Keogh Retirement Account. If interest is compounded continuously at the rate of 8%/year.
Apply the algorithm described in Example for finding the closest pair of points, using the Euclidean distance between points, to find the closest pair.
A total of 261 tickets were sold for the school play. The number of student tickets sold was twotimes the number of adult tickets sold .
How many revolutions will the graph of the circular helix r(t)=acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis?
Graph the revenue and cost equations on the same axes
Using Theorem, show that given a convex set X and an interior point x of X, any ray emanating from x contains at most one boundary point of X.
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