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Why do you square the radius when finding the area of a circle?
Whether you are finding the area of a circle or the area of a square or any other geometrical shape, it is always the case that to go from a linear measurement (a radius, a side, or whatever) to a surface area requires you to use a square of the linear measurement; you are increasing size in two dimensions, length and width, and therefore the effect is the increase the area exponentially, not linearly.
What is the relation quadratic equation to linear equation?
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
How can you tell if a matrix is invertible?
An easy exclusion criterion is a matrix that is not nxn. Only a square matrices are invertible (have an inverse). For the matrix to be invertible, the vectors (as columns) must be linearly independent. In other words, you have to check that for an nxn matrix given by {v1 v2 v3 ••• vn} with n vectors with n components, there are not constants (a, b, c, etc) not all zero such that av1 + bv2 + cv3 + ••• + kvn = 0 (meaning only the trivial solution of a=b=c=k=0 works).So all you're doing is making sure that the vectors of your matrix are linearly independent. The matrix is invertible if and only if the vectors are linearly independent. Making sure the only solution is the trivial case can be quite involved, and you don't want to do this for large matrices. Therefore, an alternative method is to just make sure the determinant is not 0. Remember that the vectors of a matrix "A" are linearly independent if and only if detA�0, and by the same token, a matrix "A" is invertible if and only if detA�0.
What is linear media?
Linear media is a term used to describe any media where there is a defined beginning and a linear progression to the end. Example movies, audio and video tapes and most books are organized linearly.
Is The function Fx equals log7 x increasing?
Yes.
