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1. Find and sketch the domain of the function f(x; y) = (4-x2-y2)(1/2) + (1-x)(1/2).
2. Draw a contour map of the function f(x; y) = y sec x showing several level curves.
3. Sketch both a contour map and a graph of the function f(x; y) = (4x2+y2)(1/2).
How much salt is present in the tank at the end of 14 min? (Round your answer to one decimal place.)
How far is the sailboat from the lighthouse, to the nearest kilometer? (50 kilometers going up and down and 130 kilometers going side to side)
a write the following in polar form z rcos ? i sin ? r cis ?i 1 iii 1 v3iiii 3v3 3ib using your answers to the
24. An old urn is discovered that looks like a cylinder except that the side is wavy. The urn is 6 inches high. Scientists want to estimate the volume of the urn so they measure its circumference at intervals of 2 inches, and produce the follow..
what is the value of k? The initial population at time = 0? the size of the bacterial population after 5hours?
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
A computer-parts company wants to make a rectangular memory board that has a perimeter of 28 cm. What dimensions will allow the board to have a maximum area?
Customer in Mexico has ordered three items with a total price of $27.00 - If the conversion rate is 1 US dollar to 10.7 pesos, how many pesos will the customer pay per item?
Choose a specific algebra concept that you think you understand well, and explain it in your own words. Then, present a math problem for your classmates to solve making use of this concept.
Calculate the average rate of change of the given function over the general interval. f(x) = 1/x; [6,10]
Find the area under the standard normal curve to the right of z = 1.65. Round to four decimal places
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
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