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logistic_guy replied to the thread triple integral.Let us write the integral again. \iiint\limits_{Q} \cos(x^2 + y^2 + z^2)^{3/2} \ dV The first thing that I will do is to change dV to... -
logistic_guy replied to the thread puzzle.\bold{PALM \ TREE} \rightarrow \textcolor{darkblue}{\bold{Raffia}} \textcolor{purple}{\huge\bold{the \ solution \ so \ far}}
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logistic_guy replied to the thread amplitude and phase shift.We start by solving this homogeneous differential equation: u'' + 2u' + 6u = 0 The complementary solution is: u(t) = c_1e^{-t}\cos...
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logistic_guy replied to the thread Euler function.:alien:👽 \varphi(9) = \varphi(3^2) = 3^1(3 - 1) = \textcolor{red}{\bold{6}}
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Kkhansaheb replied to the thread the equation (x + a)(x - a) = 16.This is answered in the grade-school, right after when we learn multiplication and division and inverse operation.
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KIt is a definition insofar as a limit is defined. The LHS makes only sense as 0.999\ldots=\displaystyle{\sum_{k=1}^\infty...
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Ffresh_42 replied to the thread the equation (x + a)(x - a) = 16.This depends on where you want to start from. E.g., if you accept that any finite sum of ones won't ever be zero, then we can conclude...
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Dr.Peterson replied to the thread the equation (x + a)(x - a) = 16.Is it not clear that the product of two nonzero numbers is nonzero? So if a product ab = 0, then either a or b must be zero. You can... -
shahar replied to the thread the equation (x + a)(x - a) = 16.you say: Why? Is there a proof to this statement? -
The easiest way to see it is the observation that a product can only be zero if one of the factors is. So we have either 4-a= 0 which...
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Ffresh_42 replied to the thread the equation (x + a)(x - a) = 16.The easiest way to see it is the observation that a product can only be zero if one of the factors is. So we have either 4-a= 0 which...
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shahar replied to the thread the equation (x + a)(x - a) = 16.The correct equation (4 - a)(4 + a) = 0 I make mistake. The 2 values of a is -4 or 4 like in the opening post. So why there are 2 values...
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Dr.Peterson replied to the thread the equation (x + a)(x - a) = 16.You can only say what a is if you first know what x is (or, perhaps, if you are told something about the equation). The question makes...
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Ffresh_42 replied to the thread the equation (x + a)(x - a) = 16.There is no answer since you consider two variables. The solutions to this equation are many pairs (x,a). This is in a mathematical...
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Ffresh_42 replied to the thread 0.999... = 1.It is a definition insofar as a limit is defined. The LHS makes only sense as 0.999\ldots=\displaystyle{\sum_{k=1}^\infty...
