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Formulas for the volume of this solid
V = ∫ba A ( x) dx V = ∫dc A ( y ) dy
where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are several ways to get the cross-sectional area .we will use A ( x )or A ( y ) will based upon the method and the axis of rotation utilized for each of the problem.
Prove that, the complement of each element in a Boolean algebra B is unique. Ans: Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b
Find out where the following function is increasing & decreasing. A (t ) = 27t 5 - 45t 4 -130t 3 + 150 Solution As with the first problem first we need to take the
By using n = 4 and all three rules to approximate the value of the following integral. Solution Very firstly, for reference purposes, Maple provides the following valu
x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.
At an office, the manager earns 40% more than a first year employees. The employee earns what fraction of the manager earnings?
Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials. Here are some examples of rational e
Doing these sums initially in this way helps children see why they carry over numbers to the next column. You may like to devise some related activities now. , EI) Give activ
Find out all intervals where the given function is increasing or decreasing. f ( x ) = - x 5 + 5/2 x 4 + 40/3 x 3 + 5 Solution To find out if the function is increasi
Determine the differential for following. y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just
Venn Diagram - Set theory and calculus A easy way of representing sets and relations among sets is by means of the Venn diagram. Venn diagram includes of a rectangle that pres
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