Evaluate this integral value, Mathematics

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.

957_angel.png

(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

1491_root equations.png

(b) Explain why the volume of the wedge may be represented by 1577_limda.pngdx Evaluate this integral, using calculus methods, to find the exact volume of the wedge.

Posted Date: 2/26/2013 12:24:20 AM | Location : United States







Related Discussions:- Evaluate this integral value, Assignment Help, Ask Question on Evaluate this integral value, Get Answer, Expert's Help, Evaluate this integral value Discussions

Write discussion on Evaluate this integral value
Your posts are moderated
Related Questions
Describe the Introduction to Integers ? Integers include the positive and negative whole numbers, such as -4, -3, -2, -1, 0, 1, 2, 3, 4, and so on. A negative number has a "

y'' + 2y = 2 - e-4t, y(0) = 1 use euler''s method with a step size of 0.2 to find and approximate values of y

A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

Partial Fractions - Integration techniques In this part we are going to take a look at integrals of rational expressions of polynomials and again let's start this section out w

Write Prim's Algorithm.   Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below.  Let G = (V, E) be graph and S

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

Q. What is the probability of getting a Royal Flush? Ans. Five cards are picked from a standard deck of 52 cards. How many different hands of five cards are possible? What

Rate of Change : The first interpretation of derivative is rate of change.  It was not the primary problem which we looked at in the limit chapter, however it is the most signific