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Question: Let
f(z) = (m - ik)/(2Π) Log((z - a)/(z - b))
in which m and k are nonzero real numbers and a and b are distinct complex numbers. Show that this flow has a source or sink of strength m and a vortex of strength k at both a and b. (A point combining properties of a source (or sink) and a vortex is called a spiral vortex). Sketch some equipotential curves and streamlines for this flow.
The ratio of Sarah's age to Keisha's age is 4:5 this year. Keisha was 12 years old 3 years ago. Find the ratio of Sarah's age to Keisha's age 9 years from now
Write an equation in slope-intercept form for the line that passes through (0,6) and is parallel to 4x+5y=6.
Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gina rented 11 movies total. Sam rented twice as many dramas, three times as many comedies, and twice as many documentarie..
Using the internet, phonebook, newspaper, etc., research and post what healthcare and shelter services to underserved populations there are in the town you live in including; primary healthcare, mental health, dental, vision, food, shelter, transp..
What is the proportion of specimens with yield strength above 50 ksi? Calculate the probability using a z-score and the standard normal table or in R. Show work or give code. What is the median yield strength in ksi?
A 3-ft by 5-ft picnic table is placed on an outdoor patio measuring x ft by (x + 1) ft. Find a polynomial for the remaining open space on the patio (in square feet).
Show that B is a symmetric matrix and B2 = B.
Sneeze According to work done by Nick Wilson of Otago University Wellington, the proportion of individuals who cover their mouth when sneezing is 0.733. What are the null and alternative hypotheses for Mary's project? Verify the requirements that a..
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
While standing on the marker and facing thegreen, the golfer turns 125 °toward his ball. He then paces off 37 yards to his ball. How far is it to the center of thegreen?
p A boat takes 6 hours to go downstream and upstream a certain distance. It takes 4 hours to travel twice the distance downstream. Which of the following is the ratio of the speed of the boat in still water to the speed of the river? Indicate the cor..
MINIMIZING AVERAGE COST Suppose the total cost function for manufacturing a certain product is C(x) = 0.2(0.01x2 + 120) dollars.
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