For example, at a basic level the Complex numbers form a #2# dimensional vector space over the Real numbers. If you have encountered dot product and cross product of vectors you have probably notice …

Here #f (x)# is defined for all real numbers greater or equal to 0, often written #forall x in RR: x>=0# Thus, the domain of #f (x)# is # [0,+oo)# Across this domain #f (x)# can take all real positive numbers …

Explanation: #f (x)# = # (sqrt (x+1))/ (x^2-9)# Here, considering denominator, # (x^2-9) # which becomes zero when #x=+-3# leads us to the value of the function to take infinity. Hence the domain happens …

So the real cube root is also one to one from the whole of RR onto RR. The real cube root of -216, which is -6, since (-6)^3 = -216. Complex interpretation As a complex valued function of complex numbers, …

One big difference is that the complex numbers cannot be ordered in a way that is compatible with arithmetic. I don't know what you are thinking of when you say the complex and real planes. I'll talk …

Sort of. See explanation for clarification. By the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n roots, though some of these roots may occur more than once, and some may …

Our teacher told us to calculate lateral limits for, in this case, 0 and 3 and find if either is infinite as x approaches from right and left. But if that's the case then what happens when calculating the limits …

Your question doesn’t seem logical. Neither 3sqrt (-64) or sqrt (-64) can be simplified to real numbers. The square root of a negative number is always an imaginary number. The examples can be …

A rank-m tensor is a mathematical object that represents N^m real numbers, where N is the dimension of space. rank-0 Tensor: represents a single real number and is usually called a scalar. Examples of …

Jun 22, 2018 · Because there are no restrictions on the value of x AND because this is a linear transformation: The Range is the set of all Real Numbers or {RR}