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Find the directional derivative at the point P in the direction indicated.
f(x, y)= (ax+by)/(x+y) at P(1, 1) in the direction i-j
Calculate the mean of the distribution of sample means and the population mean.
Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.
Calculate the simple linear regression equation
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
if the length of the hypotenuse of the right triangle is 10, find the lengths of the other sides when the area is maximum.
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
Show that the resulting motion is simple harmonic, and determine the circular frequency and period of the motion.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
The officejet printer can copy Maria's dissertation in 16 min. The laser Jet printer can copy the same document in 12 min. If the two machines work together, how long would they take to copy the dissertation?
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