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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.
MAKING CONNECTIONS : you have read about what the ability to think mathematically involves. In this section we shall discuss ways of developing this ability in children. As yo
First, a solution to an equation or inequality is any number that, while plugged into the equation/inequality, will satisfy the equation/inequality. Thus, just what do we mean by
If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n. Answer:Arithmatic mean of a,b is =(a+b)/2 from the problem (a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n) then (a+
Evaluate following integrals. (a) ∫ 3e x + 5 cos x -10 sec 2 x dx (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy Solution (a) ∫ 3e x + 5 cos x -10 sec 2 x
I need some material on Bachet equation
We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact
1/2+8/9
Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w
Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition For the right-hand limit we say that, if for eve
what number does not belong 43,47,53,59,65,67
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