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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.
Example Suppose the demand and cost functions are given by Q = 21 - 0.1P and C = 200 + 10Q Where, Q - Quantity sold
The lateral edge of a pyramidal church spire is 61feet.Each side of its octagonal base is 22feet. What will be the cost of painting the spire at 2.5 cents a square foot
answer sheet
1) let R be the triangle with vertices (0,0), (pi, pi) and (pi, -pi). using the change of variables formula u = x-y and v = x+y , compute the double integral (cos(x-y)sin(x+y) dA a
Tests for an Ideal Index Number 1. Factor Reversal Test Factor Reversal Test indicates that when the price index is multiplied along with a quantity index that is factors
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on
One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails
who discovered unitary method
Numerical analysis university
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