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Find out the length of the parametric curve illustrated by the following parametric equations.
x = 3sin (t)
y = 3 cos (t)
0 ≤ t ≤ 2?
Solution
We make out that this is a circle of radius 3 centered at the basis from our prior discussion about graphing parametric curves. We as well know from this discussion that it will be traced out exactly one in this range.
Thus, we can make use of the formula we derived above. We'll first require the following,
dx/dt = 3 cos (t)
dy/dt = -3sin (t)
after that the length is
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
prove root 2 as irrational number
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To answer each question, use the function t(r) = d , where t is the time in hours, d is the distance in miles, and r is the rate in miles per hour. a. Sydney drives 10 mi at a c
Short Cuts for solving quadratic equations
You are given the following regression results estimating the demand for widgets based on time series data for the past 40 months. Q t = 2.5 - 0.3 x P t + 12 x M t Where Q
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Disjointed Sets or Mutually Exclusive Two sets are said to be mutually or disjointed exclusive whether they have no elements in common. Sets P and R underneath are disjointed
an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p
any example
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