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A bird is flying in R 3 along the curve parametrized by x(t) = t, 2t3 3 , t2 where t denotes time.
(a) Find the speed of the bird as a function of time.
(b) How far does the bird travel between times t = 0 and t = 3?
(c) Find the curvature of the bird's trajectory as a function of t.
(d) Find the torsion as a function of t.
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
A closed rectangular box has a height ycm and width xcm. Its length is twice its width. It has a fixed outer surface area of 300cm^2.
given the function y 2x2 - 12x 13.using the method of completing the square put the function in standard form for a
The average molecular velocity v (m/s) of a gas in a certain container is given by the formula below, where T is the temperature in kelvins. The temperature is related to the pressure (in atmospheres) by T = 400P. Find the indicated derivative. v=..
Determine the population mean
in 2006 75.9 of first-year college students responding to a national survey said they used the internet for research or
the width of a swimming pool in feet is a prime number greater than 10 the width and lenght of the pool are factors of 408 what are the dimentions of the pool.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
in 2007 there were 740 students enrolled in an online training program and in 2010 there were 998 students enrolled in
Use the simplex method to solve this linear programming problem.
The following data summarize the results from an independent-measures study comparing three treatment conditions.
Iacopi Corporation is a wholesaler that sells a single product. Management has provided the following cost data for two levels of monthly sales volume. The company sells the product for $172.50 per unit. The best estimate of the total contribution..
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