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What is the domain in interval notation for #f (x ) = \frac { x - 1 ...
Explanation: The given function is defined for all real values of x, except x=3, which makes it undefined. Hence the domain of f (x) is all real numbers excluding x=3.
For which values of x element of the real numbers lays the ... - Socratic
For which values of x element of the real numbers lays the graph of the function f with function rule f (x) = 2x^4 + 2x^2 below the graph of the function g with function rule g (x) = 5x^3 + 5x?
Find all real numbers in interval [0,2π)? sin x cos (π/4 ... - Socratic
Here put in #y= {\pi}/ {4}# and #\sin (x+y)= {1}/ {2}#. Then we have the following possibilities: (1) #x+ {\pi}/ {4}= {\pi}/ {6}+2m\pi# (2) #x+ {\pi}/ {4}= {5\pi}/ {6 ...
Question #d1ce2 - Socratic
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 about a difference between the real numbers and the complex numbers. Both the reals and the complex numbers form fields. Also, the real numbers can be ordered so that There is a set of numbers P ...
What is the range of 20x+4? - Socratic
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}
If p and q are distinct real numbers that satisfy the ... - Socratic
If p and q are distinct real numbers that satisfy the equation 3y^2-11y-224=0, find the sum of p + q?
Question #2872d + Example - Socratic
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 rank-0 tensors (scalars) are temperature, density etc. rank-1 Tensor: represents N real numbers and is usually called vectors. Examples of rank-1 tensor (vector) are velocity, force, etc. rank-2 ...
Question #b8278 - Socratic
Basically the same as we do with the real numbers. Perhaps if we rewrite this as: (3+2i)* (1-3i) then we mulitply 3 from the first paranthesis with the both constituents from the second. We do the same thing for the second constituent from the first paranthesis.
Does x^3 has? 3 solutions and x^4 has 4 solutions always? - Socratic
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 be complex (not real) numbers. As written, the polynomial y=x^3 has exactly one root (x=0) with multiplicity 3 (meaning (x-0) is a factor 3 times in the factorization). Same goes for the polynomial y=x ...
Question #be5eb - Socratic
But the domain of trig functions extend to all real numbers, so it's useful to recall the graph of #cos# (with a line #y=sqrt3/2#).
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