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Use Greens Theorem to evaluate the line integral positively oriented square with vertices (1, 1). (10p) 9. (a) What does it mean that F Is independent of path? (b) If you know that F (a) Write the definition of the line integral of a scalar function f along a smooth curve C with respect to arc length. (b) How do you evaluate such a line integral? (c) Write expressions for the mass and center of mass of a thin wire shaped like a plane curve C, if the wire has linear density function (x,y). (e) How do you evaluate such integrals?
A code consists of 3 letters and then 3 digits. Any of the letters and numbers can be repeated. How many different codes are there?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
The Jurassic Zoo charges $28.00 for each adult admission and $12.00 for each child. The total bill for 254 people a school trip was $3865.00. How many adults and how many children went to the zoo?
Conduct a literature and internet search for information on the Truth-in-Lending Law. Discuss your findings in terms of what the law pertains to and how it is applied.
A researcher determines there is a significant difference
suppose you have a pipe with circumference 6 cm and length 30cm and that 8 turns of wire are wrapped around the pipe. What is the length of the wire?
A wooden artifact from an ancient tomb contains 55% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
On standard IQ tests, the mean is 90 and the standard deviation is 16. The results are very close to fitting a normal curve. Suppose an IQ test is given to a very large group of people. Find the percent of people whose IQ score is more then 90.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
A compact disc can have an angular speed up to 3142 radians per minute. At this angular speed, how many revolutions per minute would the CD make? How long would it take the CD to make 10,000 revolutions?
Calculate the z or t value of the sample test statistic
What is the half-life of the goo in minutes?
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