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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
calculus techniques to establish the first and second derivatives of the following functions and to graph the functions below by indicating
Solve the given integration
At what time does the rocket land? (Give your answer correct to one decimal place.)
The height of one square pyramid is 36 m. A similar pyramid has a height of 18 m. The volume of the larger pyramid is 1600 m3. Determine each of the following.
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
mr and mrs motor spent 5 nights at the dew drop inn. they paid a total of 234.75 what was the cost per night.
Search the internet to find two graphs to critique: one you evaluate to be a good graphical representation of the information presented and the other to be a poor graphical representation of the information presented.
Use the Empirical Rule to find what two values 68% of the data will fall between for a data set
If you are given the percentage of people that have a certain characteristic and the size of the sample . How can you find the distribution of the sample proportion?
Decribe the price elasticity of a product or service that you purchase on a regular basis and decribe at what price point would you decide to not purchase that product or service any more.
Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.
determine the dimensions of the box that can be constructed at minimum cost.
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