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Determine the multiple integral under given condition using spherical coordinate.
Let G be the three dimensional region inside the sphere x2 + y2 + z2 = 9 with y ≥ 0 and z ≥ 0. Note that G is a quarter of a sphere. Calculate the following triple integral by converting it to an appropriate coordinate system and integrating. ∫∫∫G 5yz dv
Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush
A widget distributer expects to sell 9000 lots of widgets during the coming year at a steady rate. Yearly carying costs (to be computed on the average number of lots in stock during the year) are $35 per lot
This past Sunday, the paid revenue was $12,066 for 846 tickets sold. There were 44 more children than adults. How many children attended?
a building cast shadow 230 meters long at the same time a pole 2 meters high casts a shadow 10 meters long. what is the height of the building.
Use the left-to-right elimination method to solve the system.
Create a bar graph using two different colors to represent the male and female categories. Use age to categorize and graph the average height.
Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6 inches at the top and a height of 10 inches.
The fourth person got 8 tickets, and there were 5 tickets left for the fifth person. Find the total number of tickets given away. Show and explain work please.
ate the expression. where necessary, enter your answer as a fraction using the slash (/)as the fraction bar 6/11^2.
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
there are three items from which to choose. their volumes are 2,3 and 4ft^3. and the hiker estimates their associated values on a scale from 0 to 100 as 30, 50 and 70,respectively. express the problem as longest route network, and find the optimal..
Prove that the set of all onto mapping from A to A is closed under composition of mappings. Prove that the set of all one-to-one mappings from A to A is closed under mapping composition.
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