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Consider the vector field F(x, y, z) = 2xyi + (x2 + 2yz)j+ y2 k.
a. Calculate the curl of F.
b. Calculate the divergence of F.
c. How does one know when a vector field is conservative?
d. Find the scalar field f(x, y, z) such that F =∇f
e. Evaluate the integral ∫c F · dr where C is the curve defined as r(t) = ti + tj + t2k and 0 ≤ t ≤ 1.
Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members.
the interest formula shows hownbspinterestnbsprate andnbsptimenbspare related. it gives you a way of finding one of
1. the distribution of the weights of the packages received by a parcel service is normal. nine packages are randomly
Determine forecasts value
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
two friends leave 2.1 miles apart along the same road. If they walk toward each other at rates that differ by .5mph and meet 36 minutes later, how fast is each person walking?
College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 95% confident that the sample percentage has a margin of error of 2 per..
1.calculate the sum of 13 and frac12a.25b.56c.13d.12.calculate the product of 15 and 16a.1130b.1c.65d.1303.select the
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