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The angle of elevation to the top of a building changes from 20 degrees to 40 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
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.
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?
The area of a playground is 336 yd^2. The width of the playground is 5 yd. longer than its length. Find the length and width of the playground.
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
A 17 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 1 textrm{ft/sec}.
Find the future value of an ordinary annuity that has $270 monthly payments for 9 years if the account receives 3 3/4% interest.
A. Use vector techniques to prove that a triangle and its medial triangle have the same centroid, stating each step of the proof. Provide written justification for each step of your proof.
Use the disk method to find the volume of the solid of revolution formed by revolving the region about the x-axis. Solid region is a semi circle from 0,4 to 16,0 find the solid amount between 5,0 and 6,0
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities:
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
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