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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.
Sketch the feasible region for the following set of constraints: 3y - 2x ≥ 0 y + 8x ≤ 53 y - 2x ≤ 2 x ≥ 3. Then find the maximum and minimum values of the objective
Expected Value of Perfect Information In the above problems we have used the expected value criterion to evaluate the decisions under the conditions of risk. But, as long as un
calculates the value of the following limit. Solution Now, notice that if we plug in θ =0 which we will get division by zero & so the function doesn't present at this
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#question application of vector and scalar in our daily life
* 2^(1/2)*4^(1/8)*8^(1/16)*16^(1/32) =
Example: Find out the radius of convergence for the following power series. Solution : Therefore, in this case we have, a n = ((-3) n )/(n7 n+1 ) a n+1 = (
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Refer the poset ({1}, {2}, {4}, {1,2}, {1,4}, {2,4}, {3,4}, {1,3,4}, {2,3,4}, ≤ ). (i) Find out the maximal elements. (ii) Find out the minimal elements. (iii) Is ther
show that the circle described on any focal chord of the parabola touches the directrix
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