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The altitude of a projectile in feet (neglecting air resistance) is given by: y=(tan*)x-16/(v^2 cos^2*)x^2: (y= (tangent of thada) times x minus 16 over (velocity squared cosine squared of thada) times x squared. [the astericks represent thada]
where x is the horizontal distance covered in feet and v is the initial velocity of the projectile at an agle thada from the horizontal. Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Let's suppose that Congress caps executive pay at a level below the equilibrium. Explain how the quantity of executives demanded, the quantity supplied, and executive pay will change based on the above statement. Also explain why the outcome is in..
For the metric space { N }, the set of all natural numbers, characterize whether or not it has the following properties: compact, totally bounded, has the Heine-Borel property, complete.
what is the NPV of the system? What is the payback period for this project? Draw the graph. What is the ROI for this project?
Write and solve an equation to determine the selling price of the house. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125.
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
Plot a histogram of the variable age. Include an appropriate title to your histogram. Explain the plot.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Compute the mean and standard deviation of the information
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