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1. If z =8x3 +2 x2 y - y evaluate dz where x =1,y=1,dx=.02, and dy=.03
2. Using differentials, approximate the amount of material needed to make a cylindrical drinking glass tumbler with inside diameter 3 cm and inside height 9 cm. Assume the walls and bottom of the tumbler are 0.1 cm thick. (The tumbler has a bottom but no top.)
3. Evaluate 2∫5 [(5 + 3y) / √x] dy
4. Evaluate 16∫25 2∫5 [(5 + 3y) / √x] dy.
5. If R is the region with boundaries -1 ≤ x ≤ 0 and -x2 ≤ y ≤ x2 then evaluate ∫ R ∫ (x2 - y) dy dx (the R in this equation should be under the double integral symbol).
1. In a biological experiment two methods in catching insects were performed, and the average number of insects caught in a set of field quadrants was tabulated in http://www.stat.ufl.edu/~athienit/STA4210/FP1.csv
Calculate the real part and the imaginary part of the complex polynomial p(z)= z^3-3z. Do the same for q(z)=(|z|^2)z + zbar. (here, z= x +iy, x,y belgon to R)
Review Chi Square analysis & create an example of how you would use the tool to help make a business decision.
a moving company wishes to design an open-top-box with square base whose volume is exactly 32 cubic feet. find the dimensions of the box requiring the least amount of materials.
The girls then repeated the race, with yolanda starting 10 yards behind the starting line. If each girl ran at same rate as before, who won the race? By how many yards?
If $655 is invested in an account that earns 9.75%, compounded annually, what will the account balance be after 15 years?
Use the above formula (regardless of whether you properly derived it) to compute the surface area of the portion of the paraboloid z = x2 + y2 below the plane z=1.
Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the productivity that during one week (5 working days) worker 1 will produce more than worker 2?
In how many ways can the selection be made if no more than one ball point pen is selected?
an antifrictionbearing is to be mounted on a 6 in. diameter shaft.nbsp the inside diameter hole of the bearing is found
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
the revenue and cost functions for producing and selling quantity x for a certain production facility are given
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