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The voltage V in a certain electric circuit as a function of the time t(in s) is given by Upper V= 2.0 sine 195 t cosine 195 t. How fast is the voltage changing when t=3.0 ms?
Give an example of two 4x4 nilpotent matrices which have the same minimal polynomial (they necessarily have the same characteristic polynomial) but which are not similar.
Solve the following system of equations 1, x+2y=2 -4x+3y=25
What is the probability that a randomly selected tire has a diameter below
A sailboat is 3 miles directly west of a lighthouse. If the sailboat sails at an average rate of 10mph in the direction S30ºW, find its distance from the lighthouse at the end of 30 minutes.
How many nonisomorphic rooted trees are there with five vertices (using isomorphism for directed graphs)?
a company is trying to establish a desirable transportation arrangement from its three plants to its four regional
determine the roots of the simultaneous nonlinear equations x-42 y-42 5 x2 y2 16. use a graphical approach to
The maturity value of a seven-month promissory note issued July 31, 2009 is $2219. What is the present value of the note on the date of issue if interest is 9.00%?
The trough is full of water (density (1000 kg/m^3) ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use (g=9.8 m/s^2) as the acceleration due to gravity.)?
The area of a rectangular wall of a barn is 90 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn.
The temperature in degrees at a point (x,y,z) is given by T(x,y) = 2x2y2 + z2y . How fast is the temperature changing in the sensor at time t = 1?
The Friendly Car Company has five lots on which it has 120, 75, 205, 145 and 90 cars respectively. After a few "not so friendly" discussions with its creditors, the Friendly Car Company decides to liquidate its inventory by shipping its entire stock ..
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