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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).
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
The first car has consumed 35 gallons during that week, and the second has consumed 40 gallons, for a total of 2050 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?
A frustum of regular pyramid has bottom square base of edge 20 cm and top square with edge of 8 cm. if the volume is 2266 cm squared, find the height of the frustum.
A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches and the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks..
On the other hand, the interest earned during that year was 22% rather than 20%. What is the total per contract gain for this year?
Determine the appropriate importance weights of F1 , F2 , F3 , F4 to be used in the multifactor evaluation process. (Hint: Consider numerator factors of 4.)
Suppose that 45 workers in a textile mill are selected at randome in a study of accident rate. the number of accidents per worker is assumed to be Poisson distributed with mean u . The average number of accidents per worker is 1.7.
Suppose you and three friends go to a local pizza parlor. On the menu is a "Make Your Own Pizza" with four ingredients to choose from; onions, sausage, mushrooms, and pepperoni. Your best friend is allergic to mushrooms. How many different varieti..
Timmy enjoys playing old-fashioned video games. He found 3 game systems on eBay and wants to purchase a Nintendo game system, an Atari game system, and a Sega arcade game system.
IQ scores are normally distributed with a mean of100 and standard deviation of15. what percent of IQ score are within 9 points either above or below the mean?
Let G sub1 and G sub 2 be groups, with subgroups H sub 1 and H sub 2, respectivetly. Show that {(x sub 1, x sub 2) | H sub 1 is an element of H sub 1, x sub 2 is an element of H sub 2} is a subgroup
An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
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