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Consider the vector field F = (x2 + y2, 3xy). Compute the line integrals ∫c_1 F · dr and ∫c_2 F · dr, where c1 (t) = (t, t2) and c2(t) = (t, t) for 0 ≤ t ≤ 1. Can you decide from your answers whether or not F is a gradient vector field? Why or why not?
Is F conservative?
ON a traingle, the tip is 69 degrees, the bottom right hand corner is 55 degrees, the other is unknown. One side is 75 and the other is equal. What is the base of the triangle?
Determine the work done by F on moving a particle from the point (0, 0) to the point (π/3, 1/3) along the straight line connecting these points. Find the exact expression and evaluate it then up to two decimal places.
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
The statistic most often used to describe company salaries is the median or the mean. For this company, does the mean give an accurate description of the salaries? Why or why not?
I cannot find the famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls?
write up a statistics problem that describes a single-factor design preferably involving unicorns glitter zombies
Dimensions of a rectangle with a perimeter of 20 that encloses the greatest area. Remember that the perimeter is the sum of all of the sides of the rectangle
A man rows a boat 420 feet upstream against a constant current in 14 minutes. He then rows 350 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. Find spe..
semicircles are placed on the sides of an equilateral triangle with sides 10.1 feet. find the shaded area. with this problem the whole thing is shaded.
There were 626 hamburgers and cheeseburgers sold. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold?
A wire L = 16 cm long is cut into two pieces, one of length x and the other of length (L - x), Each piece is bent into the shape of a square.
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 490 college students showed that 33% of them had, or intended to, cheat on examinations. Find the margin of error for the 95% confidence interval. Sho..
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