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Question 1 .
A 5 m ladder is leaning against a house when its base starts to slide away. By the time the base is 4 m from the house, the base is moving at a rate of 2 m/s.
(a) How fast is the top of the ladder sliding down the wall?
(b) At what rate is the area of the triangle formed by the ladder, wall, and the ground changing?
(c) At what rate is the angle ! between the ladder and the ground changing?
ladder wall of house!
Question 2.
You have been asked to design a 1000 cm3 can shaped like a right circular cylinder. What dimensions will use the least material?
Question 3.
The diameter of a tree was 25 cm. During the following year the circumference increased by 5 cm. Using calculus, find
(a) How much the tree's diameter has changed?
(b) What is the corresponding change in the tree's cross-section area?
A certain university has a computer room with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
For which positive numbers 'a' (now considering all positive numbers) do you get a convergent integral when you attempt to calculate the area of 'R'? but for the volume of the solid obtained by rotating 'R' around the x-axis.
The sequence of late times
A bank estimated the interest on the $100 debt from 1835 to 1995 to be $420 million. Find/estimate the interest rate the bank was using for 160 years, assuming interest is compounded annually.
Find the maximal interval of existence. Find the dynamical system defined by the solutions
If the population decreased from 1,000,000 to 800,000 from 1995 to 1998, what will the population be in 2001?
Newton's law of cooling. Heat transfer evolves according to the following differential equation for temperature
john baked a cake. frank ate 16 of the cake. anne ate 15 of what was left. susan ate 14 of what was left after
select an industry or business that has adopted foundational global standards.nbspwhat specifically has this company
mrs. cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. she pours the paint
1. In a biological experiment two methods in catching insects were performed, and the average number of insects caught in a set of field quadrants was tabulated in http://www.stat.ufl.edu/~athienit/STA4210/FP1.csv
When dealing with probability using a dice, let's assume we have a two fair, 6-sided dice that are rolled together. What is the probability of the sum of the numbers on the dices to be 8 or larger?
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