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A 20 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 3 textrm{ft/sec}.
Find the velocity of the top of the ladder at time t=3.
Find the directional derivative of the function at the given point in the direction of the vector v.
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
Calculate the probability that a person for whom the test result is positive has the disease
Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
Construct the circle through the excenters of triangle ABC. How is its center related to the circumcenter and incenter of triangle ABC?
Draw an acute scalene triangle. Label the vertices A, B,C on the interior of each angle. Construct a segment congruent to line segment AC. Label the endpoints D and E.
Evaluate the name of each pet's owner, the name and animal type of each pet, the street each owner lives on and the number of days that Larry needs to care for the animals for each owner
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
Building A is 170 feet shorter than Building B. The total height of the two buildings is 1500 feet. Find the height of each building.
Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?
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