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1. If you were to grow plants in a rectangular-shaped garden with a perimeter of 10 ft, what is the maximum area you can achieve?
2. Assume that the function H(t) gives the height in ft of a stone thrown vertically upward at a velocity of 20 ft/s. How high does the stone go?
3. Back at work as a clown, you are pumping gas into a spherical balloon so that its volume increases at a rate of 2 in3/s. What is the rate of change of its radius when it is 6 inches?
4. Assume that ABC Airlines has a policy that states the baggage must be box-shaped and its sum of height, width and length must not exceed 108 inches. 1) What dimensions (length, width, height) would give the maximum volume and 2) what is the maximum volume?
5. Given that a company's net sales in billion is given by S(t) where t is the number of years since 2000. What were the 1) net sales and 2) rate of change in sales in year 2010?
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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