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1. A 3d rotation matrix has 9 (3 by 3) entries, and a 2d rotation matrix has 4 (2 by 2) entries. How many actual degrees of freedom are there in a 3d or 2d rotation? In other words, what is the minimum number of parameters necessary to uniquely specify a 3d rotation and a 2d rotation (answer with 2 numbers)? What does this imply about the relationship between the entries of a rotation matrix?
Mike can jog 6.5 miles per hour. At this rate, how many miles will he jog in 30 minutes? Thirty minutes is half an hour. Thus, divide the number of miles Mike can jog in one ho
Realtors estimate that 23% of homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that at most
Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at. Like with the Ratio Test this test will as well tell wh
John and Charlie have a whole of 80 dollars. John has x dollars. How much money does Charlie have? This problem translates to the expression 42 + (11 - 9) ÷ 2. Using order of o
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if oranges cost $2.40 a dozen, how much do 2 oranges cost?
"Working" definition of continuity A function is continuous in an interval if we can draw the graph from beginning point to finish point without ever once picking up our penci
how to change sin 24 degree in digits?
Find the number of six-digit positive integers that can be formed using the digits 1,2, 3, 4, and 5 (every of which may be repeated) if the number must start with two even digits o
Can you explain slope and Slope is measured as rise/run?
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