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Question: Terminal velocity a skydiver leaps from the gondola of a hot-air balloon. As she free-falls, air resistance, which is proportional to her velocity, builds up to a point where it balances the force due to gravity. The resulting motion may be described in terms of her velocity as follows: starting at rest (zero velocity), her velocity increases and approaches a constant velocity, called the terminal velocity. Sketch a graph of her velocity √ versus time t.
A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wate..
A square's side is increased by 6 yards, which corresponds to an increase in the area by 168 square yards. How many yards is the side of the initial square?
Estimate the expected number of integers with 1000 digits that need to be selected at random to find a prime, if the probability a number with 1000 digits is prime is approximately 1/2302.
A particular hybrid car travels approximately 156 miles on 4 gallons of gas. Find the amount of gas required for a 702 mile trip.
Write a 1,400- to 1,750-word paper in which you explain the importance of innovation in your selected business's vision, mission, and values, and determine your business model for this new division. Include the following:
What are the values of the roots you found using track points? Round to the nearest hundredths.
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
AILING FINANCIAL INSTITUTIONS Franklin Savings and Loan acquired two ailing financial institutions in 2009. One of them was acquired at time t = T1.
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Find the centroid of the system consisting of a mass of 7 at (5, 5), a mass of 8 at (6, -1), a mass of 5 at (8, -2), and a mass of 5 at (7, 6).
If a string wound around a fixed circle is unwound while held taut in the plane of the circle, its end P traces an involute of the circle. the circle in question is x^2+y^2=1 and the tracing point starts at (1,0).
The revenue from selling q items is R(q)=400 q-q2, and the total cost is C(q)=175 + 5 q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.
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