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1. Find the volume of the solid region which lies under the surface z = x2y and which lies over the parallelogram with vertices (0,0), (0,1), (6,0), and (6,1).
2. Compute
½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + ½∫1 √(1-x2)∫x√3 (x2 + y2) dy dx + 2∫4 0)∫√(16-x^2) (x2 + y2) dy dx.
The following second order Differential Equations must be solved with the appropriate Infinite Series Method. You may verify DE with other method only after work is shown step by step using the infinite series methods.
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
The silo will be cylindrical in shape and have a flat top. The floor of the silo will be earth. What dimensions of the silo will use the least material for construction?
What is 5+15? Nunc egestas, augue at pellentesque laoreet, felis eros vehicula leo, at malesuada velit leo quis pede. Proin viverra, ligula sit amet ultrices semper, ligula arcu tristique sapien, a accumsan nisi mauris ac eros. Nam eget dui. Donec so..
Find the formulas for the function and simplify. Let f(x)=x^2+1, g(x)=1/(x-7), h(x)=sqrt(x). g(g(x))=???
find the best time for the trip. what total income will be received?
The circumference of a sphere was measured to be 89000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
A package of frozen strawberries has been taken from the freezer which is at -25 oFahrenheit. Give a formula that gives the temperature of the berries in terms of time. When will the berries reach 32 degrees?
Write down a polynomial in one variable x such that the coefficient of x^n is the number of ways to choose a snack with n pieces of fruit.
Evaluate the prefix expression when m = 5 and n = 3 and list each step of the solution
If there is a penalty of $5,000 a week for each week the project is late, what is the probability of incurring a penalty of at least $5,000?(Round "Probability" valuesto 4 decimal places, intermediate calculations and final answers to 2 decimal pl..
Find the margin of error that corresponds to the given values of n (times) and x (successes) and the degree of confidence: n=1400, x=420, 95%. Go 3 decimal places of precision.
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