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Room temperature is considered to be 72 degrees F. What is room temperature in celsius and kelvin? How do you do that using Tf=1.8(Tc)+32 and Tk=Tc+273.
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
from a point of observation 10 feet above the top of a 260 ft cliff, the angles of depression of two boats due east of the observer are 42 degrees 10' and 25 degrees 12'. find the distance between the two boats.
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
The following second order Differential Equations must be solved with the appropriate Infinite Series Method. You may verify DE with other method only after work is shown step by step using the infinite series methods.
if the mass of 41 kg and height 1.28 m. radius of rotation is 0.78 m and Angular velocity is 0.27 rad/s. If r2 is 0.39 m. So what is angualr velocity?
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
Find the volume of the solid whose base is bounded by the circle x^2+y^2=4, with the indicated cross sections taken perpendicular to the x-axis.
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