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An object is moving around the unit circle with parametric equationsx(t)=cos(t), y(t)=sin(t), so it's location at timetisP(t)=(cos(t),sin(t)). Assume0 < t < π/2. At a given timet, the tangent line to the unit circle at the positionP(t)will determine a right triangle in the first quadrant. (Connect the origin with they-intercept andx-intercept of the tangent line.)
The identitysin(2t)=2sin(t)cost(t)might be useful in some parts of this question.
With our restriction on t, the largest t so that a(t)=2 is
Prove that (3p+1)^4-1,where p is prime greater than 3,has at least 4 prime distinct factors.
A wildlife biologist is interested in a warren, which is where a herd (group) of rabbits lives. She notices that the time rate of change in the rabbit population, R, is proportional to the square root of R.
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
A parabolic arch has an equation x^2 + 20y - 400 = 0 where x is measured in feet. Find the maximum height of the arch.
Use the set-builder notation to write the set of odd intergers greater than 4.
When simplifying the rational expression below, explain why it is improper to cancel out the x's. State a general rule for canceling factors in a rational expression and give an example of how this rule would be used. X+8 /x+2.
write an equation for the number of cups you sellnbspas a function of the price you charge.suppose you have a lemonade
compare and contrast the gaussian elimination method with the gauss-jordan method of solving a system of linear
A piece of software stores information about digital songs and keeps track of when they were listened to Each song is associated with a song name, an artist and an album title; each song is also associated with a unique identifier.
What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are..
Define the function f: (0, 1) -> A as follows: For x in the open interval (0,1), let f(x) be the element of A with the property that for every positive integer k, the digit i_k in the kth decimal place of f(x) is the least i in I such that x has a..
Express the number in scientific notation.The diameter of Neptune: 49,600,000 m and Perform the indicated calculations. Write your result in scientific notation. (8 x 108)(5.4 x 103)/(2.7 x 1014)(2 x 1015)
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