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Solve the following related rates.
a) A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume no clay is lost. The height is increasing by 0.9 cm/ second. What it the rate at which the radius is changing when the radius is 4cm and the height is 7 cm.
b) A particle is moving along the curve y=5sqrt(4x+5). As the particle passes through the point (5, 25), its x coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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