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The base of a right cylinder is the circle in the xy-plane with centre O and radius 3 units. A wedge is obtained by cutting this cylinder with the plane through the y-axis inclined at 600 to the xy-plane, as shown in the diagram.
(a) A rectangular slice ABCD is taken perpendicular to the base of the wedge at a distance x from the y-axis. If the slice is xδ thick, show that the volume of the slice is given by
(b) Explain why the volume of the wedge may be represented by dx Evaluate this integral, using calculus methods, to find the exact volume of the wedge.
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A boat tour company charges $11 for a harbour tour and averages 450 passengers on Saturdays. Over the past few months, the company has been experimenting with the price of a tour a
4. Two hosts, one on East (host A) and one on the west coast (host B) of the USA are exchanging data. Suppose A is sending a large file to B. The file is split into packets of size
1. Find the number of zeroes of the polynomial y = f(x) whose graph is given in figure. 2 Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7,-6).
On a canoe trip. a person paddled upstream against the current ata an average of 2mi/h. the return trip with the current at 3mi/h. Need to find the paddling spped in still water an
Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga
find the no of solution of 2*3*4*5*6*6
What is a Computer? A computer is an electronic device which senses or accepts input data, performs operations or computations on the data in a pre-arranged sequence
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A particular algebra text has a total of 1382 pages which is broken up into two parts. the second part of book has 64 more pages than first part. How many pages are in each part of
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