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20b(4b3)3
Why do we integrate along the whole length while finding the gravitational force between a object of mass (m) and a rod of length L and mass M? Can't we simply use F = G m M r 2 ??
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What angle is subtended at the center of a circle of radius 2 km by an arc of length 9 m?
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Solve the following equations: log 2 x + 8 = 13
Solve the integral: ∫1x2n+1dx
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A picture window has dimensions of 1.40 m x p m and is made of glass 5.20 mm thick. On a winter day, the outside temperature is -20 while the inside temperature is a comfortable 19.56 °C. If the rate of heat loss through the window is 5.7 x J/sFind the value of p (3 marks)How much heat flows through the window in one hour? (3 marks)
How do I prove B = C when...If A ∩ B = A ∩ C and A ∁ ∩ C, then B = C.I seem to be able to prove this without the use of A ∁ ∩ C but it must be there for a reason. Where would I add this in. The basic gist behind what I did was say x was an element of A therefore x is in A ∩ B and A ∩ C. So x is in B and x is in C. So since they share the same element they are equal. This may not be right but I think I'm somewhere in the ballpark. Any help would be greatly appreciated.
limx→0x(1+acosx)−bsinxx3=1, how to find the constants a,b?
Let X be some affine algebraic variety over k (i.e. some closed subset in A k n ). First suppose X to be irreducible. Then the algebra k [ X ] is a domain and we can consider the field of rational functions Q u o t k [ X ] = k ( X ). Could you explain me how to build an analogue of this field in the case when X is not necessarily irreducible? Then k [ X ] must not be a domain and we are to build some kind of localization?Also, what is the destination of rational functions? Why we cannot be satisfied with only regular maps and regular functions?
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