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Evaluate the multiple integral under given condition using spherical coordinate.
Let T be the three dimensional region that lies outside the sphere x2 + y2 + z2 = 1 but inside the sphere x2 + y2 + z2 = 4. Convert the following triple integral to an appropriate coordinate system and evaluate: ∫∫∫(Z2 / x2 + y2 + z2) dv
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
Find the natural domain of the given functions.
Find the unit price and profit functions.
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Solve the given triangle.
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Linear programming problem consisting of only two constraints with one objective function.
Determine the height of the tree from the given information - Amman measures the angle between his base line and the line of sight to the base of the tree to be 510. How tall is tree, correct to the nearest M?
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