If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (cot t)i + (csc t)j

A. v = (-csc2 t)i - (cot t csc t)j
B. v = (csc2 t)i + (cot t csc t)j
C. v = (sec2 t)i + (tan t sec t)j
D. v = (-sec2 t)i - (tan t sec t)j


Answer: A

Mathematics

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rose with two petals
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For the given bond, whose interest rate is provided, find the semiannual interest payment and the total interest earned over the life of the bond.$5000 Max-Mart Stores 7-year bond at 3.75%

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The snow pack at a certain ski resort at the beginning of ski season averages 23".After that it grows at a rate on average of 3.4" per day until the end of the season.

(a) What is the snowpack on the fourth day of the season? What is it on the 10th day?
(b) Write an equation expressing the snowpack, S, in terms of the day, d, of the ski season.
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(d) What should be the expected snowpack on the 31st day of the season?


Sam is sketching a template on graph paper to use as a guide for his painted cork dart board. The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is foot. Sam does not want axes through or touching his template and therefore wishes to sketch the dart board only in Quadrant I.At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from the x-axis. In this case:

Mathematics

Divide.

What will be an ideal response?

Mathematics